Overview of the Geometries of Shape Spaces and Diffeomorphism Groups
This article provides an overview of various notions of shape spaces, including the space of parametrized and unparametrized curves, the space of immersions, the diffeomorphism group and the space of Riemannian metrics. We discuss the Riemannian metrics that can be defined thereon, and what is known...
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| Published in | Journal of mathematical imaging and vision Vol. 50; no. 1-2; pp. 60 - 97 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Boston
Springer US
01.09.2014
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| Subjects | |
| Online Access | Get full text |
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| Abstract | This article provides an overview of various notions of shape spaces, including the space of parametrized and unparametrized curves, the space of immersions, the diffeomorphism group and the space of Riemannian metrics. We discuss the Riemannian metrics that can be defined thereon, and what is known about the properties of these metrics. We put particular emphasis on the induced geodesic distance, the geodesic equation and its well-posedness, geodesic and metric completeness and properties of the curvature. |
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| AbstractList | This article provides an overview of various notions of shape spaces, including the space of parametrized and unparametrized curves, the space of immersions, the diffeomorphism group and the space of Riemannian metrics. We discuss the Riemannian metrics that can be defined thereon, and what is known about the properties of these metrics. We put particular emphasis on the induced geodesic distance, the geodesic equation and its well-posedness, geodesic and metric completeness and properties of the curvature. |
| Author | Michor, Peter W. Bruveris, Martins Bauer, Martin |
| Author_xml | – sequence: 1 givenname: Martin surname: Bauer fullname: Bauer, Martin organization: Fakultät für Mathematik, Universität Wien – sequence: 2 givenname: Martins surname: Bruveris fullname: Bruveris, Martins email: martins.bruveris@epfl.ch organization: Institut de Mathématiques, EPFL – sequence: 3 givenname: Peter W. surname: Michor fullname: Michor, Peter W. organization: Fakultät für Mathematik, Universität Wien |
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| Cites_doi | 10.4310/PAMQ.2013.v9.n2.a2 10.1016/j.acha.2006.07.004 10.1088/0305-4470/35/32/201 10.3934/cpaa.2012.11.1407 10.1137/100807983 10.3934/jgm.2013.5.319 10.1307/mmj/1029004004 10.1109/TPAMI.2007.70751 10.1007/s11263-009-0301-6 10.1137/S0036139995287685 10.1137/0151075 10.1007/BF01334750 10.1007/978-0-8176-4521-2_11 10.1007/s10455-006-9042-8 10.1112/blms/16.2.81 10.1080/14689360701191931 10.4171/dm/187 10.1016/j.geomphys.2007.05.003 10.1201/b10620 10.1016/j.jde.2011.05.005 10.1007/s10455-013-9370-4 10.1109/CVPR.2004.1315138 10.1109/83.855431 10.1007/s00014-003-0785-6 10.1007/s10208-004-0145-y 10.1002/9780470317006 10.1016/S0393-0440(97)00010-7 10.4310/jdg/1367438647 10.1023/B:JMIV.0000011326.88682.e5 10.1007/s10455-010-9227-z 10.1007/s10455-012-9350-0 10.1016/S0167-2789(05)80015-6 10.1109/TPAMI.2004.1262333 10.1002/cpa.3160380605 10.1007/s00209-012-0996-x 10.1080/10586458.2009.10129054 10.1146/annurev.bioeng.4.092101.125733 10.1007/978-3-642-12055-8 10.1142/S1402925110000544 10.4310/jdg/1361800866 10.1007/978-3-0346-0419-2 10.1007/s10208-004-0128-z 10.1090/S0002-9947-1950-0051437-7 10.1007/s11263-006-6121-z 10.4171/IFB/196 10.1016/0926-2245(91)90015-2 10.1016/j.difgeo.2011.10.002 10.1007/BF01659491 10.1007/3-540-10578-6_35 10.1016/0393-0440(88)90029-0 10.1007/s11263-010-0416-9 10.1090/S0033-569X-07-01084-4 10.1007/s11263-012-0520-0 10.1007/s10455-011-9283-z 10.1007/BF00280740 10.1088/1751-8113/41/34/344003 10.1093/qmath/42.1.183 10.1090/S0273-0979-1982-15004-2 10.1088/0951-7715/21/10/013 10.1007/s00208-008-0250-3 10.1007/BF01507749 10.1109/TPAMI.2006.208 10.1023/A:1011161132514 10.1016/S0001-8708(02)00063-4 10.1137/090781139 10.2307/1970699 10.1109/TPAMI.2010.184 10.1007/s10455-010-9244-y 10.1103/PhysRevLett.71.1661 10.1016/0025-5564(77)90101-8 10.1007/BF01077813 10.3934/jgm.2011.3.389 10.1007/s10455-013-9380-2 10.1007/s00526-010-0323-5 10.1007/s00039-013-0210-2 10.1070/IM2013v077n03ABEH002648 10.1142/S0217751X91001416 10.1090/surv/053 10.1007/s11537-006-0606-y 10.1023/B:VISI.0000043755.93987.aa 10.1137/1.9780898719826 10.1023/A:1008001603737 10.5486/PMD.2003.2821 10.4310/MRL.2004.v11.n3.a5 10.1137/10081678X 10.1016/j.anihpc.2012.07.003 10.1007/s10455-012-9353-x 10.1007/s10455-011-9294-9 10.1007/978-1-4612-4032-7 10.1007/s10208-011-9091-7 10.1090/gsm/093 10.1007/s11263-006-9968-0 10.1007/s11263-006-0635-2 10.1137/060664707 10.1063/1.532690 10.4171/JEMS/37 10.4171/RLM/506 |
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| Copyright | Springer Science+Business Media New York 2014 |
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| Issue | 1-2 |
| Keywords | Riemannian geometry Shape space Manifolds of mappings Surface matching Diffeomorphism group Landmark space |
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| References | Clarke (CR29) 2010; 39 Michor (CR89) 1980; 21 Michor (CR90) 1980 Bruveris (CR22) 2013; 43 Miller, Younes (CR97) 2001; 41 Segal (CR114) 1991; 6 Camassa, Holm (CR25) 1993; 71 Bauer, Harms, Michor (CR11) 2012; 30 Bauer, Bruveris (CR4) 2011 Yezzi, Mennucci (CR136) 2005 Khesin, Misiołek (CR69) 2003; 176 Mio, Srivastava, Joshi (CR100) 2007; 73 Taylor (CR126) 2011 Constantin, Lax, Majda (CR36) 1985; 38 Younes, Michor, Shah, Mumford (CR139) 2008; 19 Günther, Lamecker, Weiser (CR57) 2011 Michor (CR91) 2006 Bauer, Harms, Michor (CR12) 2012; 4 Preston (CR110) 2012; 41 Hunter, Saxton (CR60) 1991; 51 Misiołek (CR101) 1998; 24 Mumford, Michor (CR105) 2013; 5 Shah (CR115) 2008; 66 Kainz (CR65) 1984; 98 Miller, Trouve, Younes (CR98) 2002; 4 Wirth, Bar, Rumpf, Sapiro (CR131) 2011; 93 Alekseevsky, Kriegl, Losik, Michor (CR1) 2003; 62 Mumford (CR103) 1991 Kirillov, Yuriev (CR73) 1988; 5 Bauer, Bruveris, Harms, Michor (CR13) 2013; 44 Zhang, Younes, Zweck, Ratnanather (CR140) 2008; 68 Hunter, Zheng (CR61) 1994; 79 CR46 Clarke (CR32) 2013; 273 Younes (CR138) 2010 Holm, Marsden (CR59) 2005 Mumford, Desolneux (CR104) 2010 Mennucci (CR84) 2009 Burgers (CR24) 1948 Klassen, Srivastava, Mio, Joshi (CR74) 2004; 26 Trouvé, Younes (CR129) 2005; 5 Grenander, Miller (CR55) 2007 Michor, Mumford (CR93) 2005; 10 Fischer, Tromba (CR48) 1984; 284 Ebin, Marsden (CR44) 1970; 92 Joshi, Miller (CR63) 2000; 9 Lenells (CR80) 2007; 57 Kriegl, Michor (CR77) 1997; 7 Saitoh (CR112) 1988 Bookstein (CR20) 1997 Michor, Mumford (CR94) 2006; 8 Younes (CR137) 1998; 58 CR135 CR52 CR51 Clarke (CR31) 2013; 93 Neeb (CR106) 2006; 1 Bauer, Bruveris, Harms, Michor (CR6) 2012; 41 Ovsienko, Khesin (CR108) 1987; 21 Cotter, Clark, Peiró (CR39) 2012; 99 Constantin, Kappeler, Kolev, Topalov (CR37) 2007; 31 Kato (CR66) 1975; 58 Srivastava, Klassen, Joshi, Jermyn (CR121) 2011; 33 Michor (CR92) 2008 Mémoli, Sapiro (CR83) 2005; 5 Eichhorn (CR45) 2007 Glaunès, Vaillant, Miller (CR53) 2004; 20 Binz, Fischer (CR18) 1981 Kriegl, Michor (CR76) 1997 Sundaramoorthi, Yezzi, Mennucci (CR123) 2007; 73 Bauer, Bruveris, Michor (CR8) 2013; 44 Manay, Cremers, Hong, Yezzi, Soatto (CR81) 2006; 28 Khesin, Lenells, Misiołek, Preston (CR71) 2013; 9 Preston (CR109) 2011; 251 Michor, Mumford (CR95) 2007; 23 Guieu, Roger (CR56) 2007 CR79 CR116 CR111 Kendall (CR67) 1984; 16 Bauer, Harms, Michor (CR5) 2011; 3 De Gregorio (CR40) 1990; 59 Constantin, Kolev (CR35) 2003; 78 Bronstein, Bronstein, Kimmel, Mahmoudi, Sapiro (CR21) 2010; 89 Kendall, Barden, Carne, Le (CR68) 1999 CR3 Cotter (CR38) 2008; 41 Kushnarev (CR78) 2009; 18 Sharon, Mumford (CR117) 2004 Sundaramoorthi, Yezzi, Mennucci (CR124) 2008; 30 Micheli, Michor, Mumford (CR88) 2013; 77 CR7 CR130 CR9 Binz (CR17) 1980; 89 Freed, Groisser (CR49) 1989; 36 Bookstein (CR19) 1976; 34 Sundaramoorthi, Mennucci, Soatto, Yezzi (CR125) 2011; 4 Clarke (CR30) 2011; 39 Delfour, Zolésio (CR41) 2011 Jermyn, Kurtek, Klassen, Srivastava (CR62) 2012 CR86 Stanhope, Uribe (CR122) 2011; 40 Grenander (CR54) 1993 Mennucci, Yezzi, Sundaramoorthi (CR85) 2008; 10 Samir, Absil, Srivastava, Klassen (CR113) 2012; 12 Aronszajn (CR2) 1950; 68 Mio, Srivastava (CR99) 2004 Beg, Miller, Trouvé, Younes (CR16) 2005; 61 Michor, Mumford (CR96) 2013; 44 Small (CR119) 1996 Constantin, Kolev (CR34) 2002; 35 Bauer, Harms, Michor (CR10) 2012; 5 CR14 Clarke, Rubinstein (CR33) 2013; 30 Yamada (CR133) 2004; 11 Okamoto, Sakajo, Wunsch (CR107) 2008; 21 Khesin, Lenells, Misiołek, Preston (CR72) 2013; 23 Khesin, Lenells, Misiołek (CR70) 2008; 342 McLachlan, Marsland (CR82) 2007; 22 Ebin (CR43) 1970 Triebel (CR127) 1992 Gay-Balmaz (CR50) 2009; 2 Trouvé (CR128) 1998; 28 Kouranbaeva (CR75) 1999; 40 Smolentsev (CR120) 2006; 37 CR28 Cervera, Mascaró, Michor (CR26) 1991; 1 CR23 Jost (CR64) 2008 CR102 Wunsch (CR132) 2010; 17 Charpiat, Keriven, philippe Pons, Faugeras (CR27) 2005 Micheli, Michor, Mumford (CR87) 2012; 5 Dryden, Mardia (CR42) 1998 Bauer, Harms, Michor (CR15) 2013; 94 Escher, Kolev, Wunsch (CR47) 2012; 11 Hamilton (CR58) 1982; 7 Sharon, Mumford (CR118) 2006; 70 Yamada (CR134) 2011 R. Camassa (490_CR25) 1993; 71 490_CR14 A. Trouvé (490_CR129) 2005; 5 B. Clarke (490_CR30) 2011; 39 G. Sundaramoorthi (490_CR125) 2011; 4 M.I. Miller (490_CR98) 2002; 4 B. Khesin (490_CR71) 2013; 9 J. Escher (490_CR47) 2012; 11 J. Shah (490_CR115) 2008; 66 490_CR102 G. Sundaramoorthi (490_CR124) 2008; 30 M.F. Beg (490_CR16) 2005; 61 J. Glaunès (490_CR53) 2004; 20 M.C. Delfour (490_CR41) 2011 A. Mennucci (490_CR85) 2008; 10 D. Mumford (490_CR105) 2013; 5 M. Bauer (490_CR4) 2011 S.C. Preston (490_CR110) 2012; 41 E. Sharon (490_CR118) 2006; 70 N. Aronszajn (490_CR2) 1950; 68 A. Srivastava (490_CR121) 2011; 33 M. Bauer (490_CR11) 2012; 30 490_CR23 490_CR28 S. Gregorio De (490_CR40) 1990; 59 E. Binz (490_CR18) 1981 A. Kriegl (490_CR76) 1997 E. Sharon (490_CR117) 2004 P.W. Michor (490_CR94) 2006; 8 F.L. Bookstein (490_CR20) 1997 S.C. Preston (490_CR109) 2011; 251 J. Lenells (490_CR80) 2007; 57 M. Bauer (490_CR10) 2012; 5 P.W. Michor (490_CR92) 2008 R.S. Hamilton (490_CR58) 1982; 7 J. Jost (490_CR64) 2008 J.K. Hunter (490_CR60) 1991; 51 490_CR79 U. Grenander (490_CR54) 1993 M. Bauer (490_CR8) 2013; 44 D. Alekseevsky (490_CR1) 2003; 62 I.L. Dryden (490_CR42) 1998 J. Eichhorn (490_CR45) 2007 S. Kushnarev (490_CR78) 2009; 18 G. Charpiat (490_CR27) 2005 C.G. Small (490_CR119) 1996 A. Constantin (490_CR37) 2007; 31 H. Triebel (490_CR127) 1992 S. Yamada (490_CR134) 2011 A. Yezzi (490_CR136) 2005 D.G. Kendall (490_CR67) 1984; 16 R.I. McLachlan (490_CR82) 2007; 22 D.G. Ebin (490_CR43) 1970 G. Sundaramoorthi (490_CR123) 2007; 73 A. Constantin (490_CR35) 2003; 78 S.C. Joshi (490_CR63) 2000; 9 D. Mumford (490_CR104) 2010 P. Michor (490_CR89) 1980; 21 F. Gay-Balmaz (490_CR50) 2009; 2 490_CR86 490_CR3 A. Günther (490_CR57) 2011 L. Guieu (490_CR56) 2007 D.D. Holm (490_CR59) 2005 490_CR111 490_CR7 N.K. Smolentsev (490_CR120) 2006; 37 B. Clarke (490_CR32) 2013; 273 B. Clarke (490_CR33) 2013; 30 490_CR9 A.C.G. Mennucci (490_CR84) 2009 A. Kriegl (490_CR77) 1997; 7 S. Saitoh (490_CR112) 1988 M. Micheli (490_CR87) 2012; 5 P.W. Michor (490_CR93) 2005; 10 490_CR116 F.L. Bookstein (490_CR19) 1976; 34 D.G. Kendall (490_CR68) 1999 M.I. Miller (490_CR97) 2001; 41 M. Micheli (490_CR88) 2013; 77 B. Khesin (490_CR72) 2013; 23 J. Burgers (490_CR24) 1948 V. Cervera (490_CR26) 1991; 1 S. Manay (490_CR81) 2006; 28 W. Mio (490_CR99) 2004 490_CR52 B. Khesin (490_CR69) 2003; 176 M. Bauer (490_CR12) 2012; 4 A.M. Bronstein (490_CR21) 2010; 89 S. Yamada (490_CR133) 2004; 11 M. Bauer (490_CR6) 2012; 41 P.W. Michor (490_CR91) 2006 C.J. Cotter (490_CR38) 2008; 41 L. Younes (490_CR137) 1998; 58 B. Clarke (490_CR31) 2013; 93 B. Clarke (490_CR29) 2010; 39 M. Bauer (490_CR13) 2013; 44 S. Zhang (490_CR140) 2008; 68 G. Misiołek (490_CR101) 1998; 24 G. Segal (490_CR114) 1991; 6 P. Constantin (490_CR36) 1985; 38 A.A. Kirillov (490_CR73) 1988; 5 L. Younes (490_CR138) 2010 M.E. Taylor (490_CR126) 2011 G. Kainz (490_CR65) 1984; 98 490_CR130 F. Mémoli (490_CR83) 2005; 5 E. Stanhope (490_CR122) 2011; 40 P.W. Michor (490_CR90) 1980 H. Okamoto (490_CR107) 2008; 21 490_CR135 E. Binz (490_CR17) 1980; 89 D.S. Freed (490_CR49) 1989; 36 I.H. Jermyn (490_CR62) 2012 S. Kouranbaeva (490_CR75) 1999; 40 J.K. Hunter (490_CR61) 1994; 79 C.J. Cotter (490_CR39) 2012; 99 C. Samir (490_CR113) 2012; 12 M. Bauer (490_CR15) 2013; 94 L. Younes (490_CR139) 2008; 19 D. Mumford (490_CR103) 1991 E. Klassen (490_CR74) 2004; 26 M. Bauer (490_CR5) 2011; 3 B. Wirth (490_CR131) 2011; 93 M. Bruveris (490_CR22) 2013; 43 T. Kato (490_CR66) 1975; 58 A. Constantin (490_CR34) 2002; 35 490_CR46 B. Khesin (490_CR70) 2008; 342 K.-H. Neeb (490_CR106) 2006; 1 V.Y. Ovsienko (490_CR108) 1987; 21 D.G. Ebin (490_CR44) 1970; 92 A.E. Fischer (490_CR48) 1984; 284 P.W. Michor (490_CR96) 2013; 44 M. Wunsch (490_CR132) 2010; 17 U. Grenander (490_CR55) 2007 A. Trouvé (490_CR128) 1998; 28 490_CR51 P.W. Michor (490_CR95) 2007; 23 W. Mio (490_CR100) 2007; 73 |
| References_xml | – volume: 7 start-page: 65 issue: 1 year: 1982 end-page: 222 ident: CR58 article-title: The inverse function theorem of Nash and Moser publication-title: Bull. Am. Math. Soc. – volume: 8 start-page: 1 year: 2006 end-page: 48 ident: CR94 article-title: Riemannian geometries on spaces of plane curves publication-title: J. Eur. Math. Soc. – volume: 34 start-page: 177 year: 1976 end-page: 219 ident: CR19 article-title: The study of shape transformations after d’Arcy Thompson publication-title: Math. Biosci. – volume: 176 start-page: 116 issue: 1 year: 2003 end-page: 144 ident: CR69 article-title: Euler equations on homogeneous spaces and Virasoro orbits publication-title: Adv. Math. – year: 2007 ident: CR55 publication-title: Pattern Theory: from Representation to Inference – volume: 40 start-page: 857 issue: 2 year: 1999 end-page: 868 ident: CR75 article-title: The Camassa-Holm equation as a geodesic flow on the diffeomorphism group publication-title: J. Math. Phys. – volume: 68 start-page: 337 year: 1950 end-page: 404 ident: CR2 article-title: Theory of reproducing kernels publication-title: Trans. Am. Math. Soc. – ident: CR51 – volume: 28 start-page: 213 year: 1998 end-page: 221 ident: CR128 article-title: Diffeomorphic groups and pattern matching in image analysis publication-title: Int. J. Comput. Vis. – volume: 16 start-page: 81 issue: 2 year: 1984 end-page: 121 ident: CR67 article-title: Shape manifolds, Procrustean metrics, and complex projective spaces publication-title: Bull. Lond. Math. Soc. – volume: 18 start-page: 325 issue: 3 year: 2009 end-page: 336 ident: CR78 article-title: Teichons: solitonlike geodesics on universal Teichmüller space publication-title: Exp. Math. – volume: 28 start-page: 1602 issue: 10 year: 2006 end-page: 1618 ident: CR81 article-title: Integral invariants for shape matching publication-title: IEEE Trans. Pattern Anal. Mach. Intell. – volume: 4 start-page: 375 year: 2002 end-page: 405 ident: CR98 article-title: On the metrics and Euler-Lagrange equations of computational anatomy publication-title: Annu. Rev. Biomed. Eng. – volume: 30 start-page: 851 issue: 5 year: 2008 end-page: 864 ident: CR124 article-title: Coarse-to-fine segmentation and tracking using Sobolev active contours publication-title: IEEE Trans. Pattern Anal. Mach. Intell. – volume: 93 start-page: 293 issue: 3 year: 2011 end-page: 318 ident: CR131 article-title: A continuum mechanical approach to geodesics in shape space publication-title: Int. J. Comput. Vis. – ident: CR135 – volume: 51 start-page: 1498 issue: 6 year: 1991 end-page: 1521 ident: CR60 article-title: Dynamics of director fields publication-title: SIAM J. Appl. Math. – volume: 66 start-page: 123 issue: 1 year: 2008 end-page: 137 ident: CR115 article-title: -type Riemannian metrics on the space of planar curves publication-title: Q. Appl. Math. – volume: 1 start-page: 391 issue: 4 year: 1991 end-page: 401 ident: CR26 article-title: The action of the diffeomorphism group on the space of immersions publication-title: Differ. Geom. Appl. – volume: 68 start-page: 806 issue: 3 year: 2008 end-page: 824 ident: CR140 article-title: Diffeomorphic surface flows: a novel method of surface evolution publication-title: SIAM J. Appl. Math. – volume: 36 start-page: 323 issue: 3 year: 1989 end-page: 344 ident: CR49 article-title: The basic geometry of the manifold of Riemannian metrics and of its quotient by the diffeomorphism group publication-title: Mich. Math. J. – volume: 58 start-page: 565 issue: 2 year: 1998 end-page: 586 ident: CR137 article-title: Computable elastic distances between shapes publication-title: SIAM J. Appl. Math. – volume: 23 start-page: 334 issue: 1 year: 2013 end-page: 366 ident: CR72 article-title: Geometry of Diffeomorphism Groups, Complete integrability and Geometric statistics publication-title: Geom. Funct. Anal. – volume: 41 start-page: 61 year: 2001 end-page: 84 ident: CR97 article-title: Group actions, homeomorphisms, and matching: a general framework publication-title: Int. J. Comput. Vis. – volume: 4 start-page: 365 issue: 4 year: 2012 end-page: 383 ident: CR12 article-title: Sobolev metrics on shape space, II: Weighted Sobolev metrics and almost local metrics publication-title: J. Geom. Mech. – start-page: 1403 year: 2005 end-page: 1408 ident: CR27 article-title: Designing spatially coherent minimizing flows for variational problems based on active contours publication-title: International Conference on Computer Vision – volume: 9 start-page: 291 issue: 2 year: 2013 end-page: 332 ident: CR71 article-title: Curvatures of Sobolev metrics on diffeomorphism groups publication-title: Pure Appl. Math. Q. – start-page: 804 year: 2012 end-page: 817 ident: CR62 article-title: Elastic shape matching of parameterized surfaces using square root normal fields publication-title: Proceedings of the 12th European Conference on Computer Vision (ECCV’12) – volume: 92 start-page: 102 year: 1970 end-page: 163 ident: CR44 article-title: Groups of diffeomorphisms and the motion of an incompressible fluid publication-title: Ann. Math. (2) – start-page: 1 year: 2011 end-page: 14 ident: CR57 article-title: Direct LDDMM of discrete currents with adaptive finite elements publication-title: 3rd MICCAI Workshop on Mathematical Foundations of Computational Anatomy – volume: 4 start-page: 109 issue: 1 year: 2011 end-page: 145 ident: CR125 article-title: A new geometric metric in the space of curves, and applications to tracking deforming objects by prediction and filtering publication-title: SIAM J. Imaging Sci. – volume: 20 start-page: 179 issue: 1–2 year: 2004 end-page: 200 ident: CR53 article-title: Landmark matching via large deformation diffeomorphisms on the sphere publication-title: J. Math. Imaging Vis. – volume: 99 start-page: 103 issue: 1 year: 2012 end-page: 121 ident: CR39 article-title: A reparameterisation based approach to geodesic constrained solvers for curve matching publication-title: Int. J. Comput. Vis. – year: 2010 ident: CR104 publication-title: Pattern Theory: the Stochastic Analysis of Real-World Signals – start-page: 2 year: 1991 end-page: 10 ident: CR103 article-title: Mathematical theories of shape: do they model perception? publication-title: San Diego ’91 – year: 1992 ident: CR127 publication-title: Theory of Function Spaces. II – year: 2007 ident: CR56 publication-title: Aspects Géométriques et Algébriques, Généralisations [Geometric and Algebraic Aspects, Generalizations] – volume: 41 start-page: 281 issue: 3 year: 2012 end-page: 305 ident: CR110 article-title: The geometry of whips publication-title: Ann. Glob. Anal. Geom. – volume: 89 start-page: 275 issue: 4 year: 1980 end-page: 288 ident: CR17 article-title: Two natural metrics and their covariant derivatives on a manifold of embeddings publication-title: Monatshefte Math. – year: 2008 ident: CR64 publication-title: Riemannian Geometry and Geometric Analysis – volume: 37 start-page: 3 year: 2006 end-page: 100 ident: CR120 article-title: Diffeomorphism groups of compact manifolds publication-title: Sovr. Mat. Prilozh. Geom. – volume: 21 start-page: 2447 issue: 10 year: 2008 end-page: 2461 ident: CR107 article-title: On a generalization of the Constantin-Lax-Majda equation publication-title: Nonlinearity – volume: 77 start-page: 109 issue: 3 year: 2013 end-page: 136 ident: CR88 article-title: Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds publication-title: Izv. Math. – volume: 11 start-page: 327 issue: 2–3 year: 2004 end-page: 344 ident: CR133 article-title: On the geometry of Weil-Petersson completion of Teichmüller spaces publication-title: Math. Res. Lett. – volume: 62 start-page: 247 issue: 3–4 year: 2003 end-page: 276 ident: CR1 article-title: The Riemannian geometry of orbit spaces—the metric, geodesics, and integrable systems publication-title: Publ. Math. (Debr.) – volume: 44 start-page: 529 issue: 4 year: 2013 end-page: 540 ident: CR96 article-title: A zoo of diffeomorphism groups on publication-title: Ann. Glob. Anal. Geom. – volume: 5 start-page: 313 issue: 3 year: 2005 end-page: 347 ident: CR83 article-title: A theoretical and computational framework for isometry invariant recognition of point cloud data publication-title: Found. Comput. Math. – start-page: 11 year: 1970 end-page: 40 ident: CR43 article-title: The manifold of Riemannian metrics publication-title: Global Analysis (Proc. Sympos. Pure Math.) – volume: 9 start-page: 1357 issue: 8 year: 2000 end-page: 1370 ident: CR63 article-title: Landmark matching via large deformation diffeomorphisms publication-title: IEEE Trans. Image Process. – volume: 7 start-page: 61 issue: 1 year: 1997 end-page: 99 ident: CR77 article-title: Regular infinite-dimensional Lie groups publication-title: J. Lie Theory – volume: 10 start-page: 217 year: 2005 end-page: 245 ident: CR93 article-title: Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms publication-title: Doc. Math. – ident: CR86 – volume: 38 start-page: 715 issue: 6 year: 1985 end-page: 724 ident: CR36 article-title: A simple one-dimensional model for the three-dimensional vorticity equation publication-title: Commun. Pure Appl. Math. – volume: 5 start-page: 244 issue: 1 year: 2012 end-page: 310 ident: CR10 article-title: Almost local metrics on shape space of hypersurfaces in -space publication-title: SIAM J. Imaging Sci. – volume: 61 start-page: 139 issue: 2 year: 2005 end-page: 157 ident: CR16 article-title: Computing large deformation metric mappings via geodesic flows of diffeomorphisms publication-title: Int. J. Comput. Vis. – start-page: 171 year: 1948 end-page: 199 ident: CR24 article-title: A mathematical model illustrating the theory of turbulence publication-title: Advances in Applied Mechanics – year: 2011 ident: CR41 article-title: Metrics, analysis, differential calculus, and optimization publication-title: Shapes and Geometries – volume: 284 start-page: 319 issue: 1 year: 1984 end-page: 335 ident: CR48 article-title: On the Weil-Petersson metric on Teichmüller space publication-title: Trans. Am. Math. Soc. – volume: 21 start-page: 329 year: 1987 end-page: 331 ident: CR108 article-title: Korteweg–de Vries superequations as an Euler equation publication-title: Funct. Anal. Appl. – start-page: 203 year: 2005 end-page: 235 ident: CR59 article-title: Momentum maps and measure-valued solutions (peakons, filaments, and sheets) for the EPDiff equation publication-title: The Breadth of Symplectic and Poisson Geometry – volume: 12 start-page: 49 issue: 1 year: 2012 end-page: 73 ident: CR113 article-title: A gradient-descent method for curve fitting on Riemannian manifolds publication-title: Found. Comput. Math. – start-page: 913 year: 2005 end-page: 919 ident: CR136 article-title: Conformal metrics and true “gradient flows” for curves publication-title: Proceedings of the Tenth IEEE International Conference on Computer Vision – ident: CR3 – volume: 24 start-page: 203 issue: 3 year: 1998 end-page: 208 ident: CR101 article-title: A shallow water equation as a geodesic flow on the Bott-Virasoro group publication-title: J. Geom. Phys. – ident: CR52 – year: 1999 ident: CR68 publication-title: Shape and Shape Theory – year: 1997 ident: CR76 publication-title: The Convenient Setting of Global Analysis – volume: 6 start-page: 2859 issue: 16 year: 1991 end-page: 2869 ident: CR114 article-title: The geometry of the KdV equation publication-title: Int. J. Mod. Phys. A – volume: 17 start-page: 7 issue: 1 year: 2010 end-page: 11 ident: CR132 article-title: On the geodesic flow on the group of diffeomorphisms of the circle with a fractional Sobolev right-invariant metric publication-title: J. Nonlinear Math. Phys. – year: 1996 ident: CR119 publication-title: The Statistical Theory of Shape – year: 1998 ident: CR42 publication-title: Statistical Shape Analysis – start-page: 350 year: 2004 end-page: 357 ident: CR117 article-title: 2d-shape analysis using conformal mapping publication-title: Proc. IEEE Conf. Computer Vision and Pattern Recognition – volume: 39 start-page: 533 year: 2010 end-page: 545 ident: CR29 article-title: The metric geometry of the manifold of Riemannian metrics over a closed manifold publication-title: Calc. Var. Partial Differ. Equ. – year: 2011 ident: CR126 publication-title: Partial Differential Equations I. Basic Theory – volume: 3 start-page: 389 issue: 4 year: 2011 end-page: 438 ident: CR5 article-title: Sobolev metrics on shape space of surfaces publication-title: J. Geom. Mech. – volume: 89 start-page: 266 issue: 2–3 year: 2010 end-page: 286 ident: CR21 article-title: A Gromov-Hausdorff framework with diffusion geometry for topologically-robust non-rigid shape matching publication-title: Int. J. Comput. Vis. – volume: 41 start-page: 461 issue: 4 year: 2012 end-page: 472 ident: CR6 article-title: Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation publication-title: Ann. Glob. Anal. Geom. – volume: 93 start-page: 203 issue: 2 year: 2013 end-page: 268 ident: CR31 article-title: The completion of the manifold of Riemannian metrics publication-title: J. Differ. Geom. – volume: 33 start-page: 1415 issue: 7 year: 2011 end-page: 1428 ident: CR121 article-title: Shape analysis of elastic curves in Euclidean spaces publication-title: IEEE Trans. Pattern Anal. Mach. Intell. – year: 1980 ident: CR90 publication-title: Manifolds of Differentiable Mappings – ident: CR102 – volume: 5 start-page: 173 issue: 2 year: 2005 end-page: 198 ident: CR129 article-title: Metamorphoses through Lie group action publication-title: Found. Comput. Math. – volume: 10 start-page: 423 issue: 4 year: 2008 end-page: 445 ident: CR85 article-title: Properties of Sobolev-type metrics in the space of curves publication-title: Interfaces Free Bound. – volume: 79 start-page: 361 issue: 2–4 year: 1994 end-page: 386 ident: CR61 article-title: On a completely integrable nonlinear hyperbolic variational equation publication-title: Physica D – volume: 30 start-page: 33 issue: 1 year: 2012 end-page: 41 ident: CR11 article-title: Curvature weighted metrics on shape space of hypersurfaces in -space publication-title: Differ. Geom. Appl. – volume: 22 start-page: 269 issue: 3 year: 2007 end-page: 290 ident: CR82 article-title: -particle dynamics of the Euler equations for planar diffeomorphisms publication-title: Dyn. Syst. – start-page: II-10 year: 2004 end-page: II-15 ident: CR99 article-title: Elastic-string models for representation and analysis of planar shapes publication-title: Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2004) – volume: 58 start-page: 181 issue: 3 year: 1975 end-page: 205 ident: CR66 article-title: The Cauchy problem for quasi-linear symmetric hyperbolic systems publication-title: Arch. Ration. Mech. Anal. – volume: 11 start-page: 1407 issue: 4 year: 2012 end-page: 1419 ident: CR47 article-title: The geometry of a vorticity model equation publication-title: Commun. Pure Appl. Anal. – volume: 44 start-page: 361 issue: 4 year: 2013 end-page: 368 ident: CR8 article-title: Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group. II publication-title: Ann. Glob. Anal. Geom. – volume: 251 start-page: 504 issue: 3 year: 2011 end-page: 550 ident: CR109 article-title: The motion of whips and chains publication-title: J. Differ. Equ. – ident: CR111 – volume: 59 start-page: 1251 issue: 5–6 year: 1990 end-page: 1263 ident: CR40 article-title: On a one-dimensional model for the three-dimensional vorticity equation publication-title: J. Stat. Phys. – volume: 73 start-page: 307 issue: 3 year: 2007 end-page: 324 ident: CR100 article-title: On shape of plane elastic curves publication-title: Int. J. Comput. Vis. – volume: 39 start-page: 131 issue: 2 year: 2011 end-page: 163 ident: CR30 article-title: The Riemannian topology on the manifold of Riemannian metrics publication-title: Ann. Glob. Anal. Geom. – start-page: 182 year: 2011 end-page: 194 ident: CR4 article-title: A new Riemannian setting for surface registration publication-title: 3nd MICCAI Workshop on Mathematical Foundations of Computational Anatomy – ident: CR46 – volume: 98 start-page: 211 issue: 3 year: 1984 end-page: 217 ident: CR65 article-title: A metric on the manifold of immersions and its Riemannian curvature publication-title: Monatshefte Math. – volume: 21 start-page: 325 issue: 3 year: 1980 end-page: 337 ident: CR89 article-title: Manifolds of smooth maps. III. The principal bundle of embeddings of a noncompact smooth manifold publication-title: Cah. Topol. Géom. Différ. – volume: 5 start-page: 319 issue: 3 year: 2013 end-page: 344 ident: CR105 article-title: On Euler’s equation and ‘EPDiff’ publication-title: J. Geom. Mech. – ident: CR116 – volume: 70 start-page: 55 year: 2006 end-page: 75 ident: CR118 article-title: 2d-shape analysis using conformal mapping publication-title: Int. J. Comput. Vis. – ident: CR9 – volume: 35 start-page: R51 issue: 32 year: 2002 end-page: R79 ident: CR34 article-title: On the geometric approach to the motion of inertial mechanical systems publication-title: J. Phys. A – volume: 31 start-page: 155 issue: 2 year: 2007 end-page: 180 ident: CR37 article-title: On geodesic exponential maps of the Virasoro group publication-title: Ann. Glob. Anal. Geom. – start-page: 310 year: 1981 end-page: 329 ident: CR18 article-title: The manifold of embeddings of a closed manifold publication-title: Differential Geometric Methods in Mathematical Physics (Proc. Internat. Conf Tech. Univ. Clausthal) – volume: 2 start-page: 55 issue: 51 year: 2009 end-page: 58 ident: CR50 article-title: Well-posedness of higher dimensional Camassa-Holm equations publication-title: Bull. Transilv. Univ. Braşov, Ser. III – year: 1988 ident: CR112 publication-title: Theory of Reproducing Kernels and Its Applications – year: 2010 ident: CR138 publication-title: Shapes and Diffeomorphisms – volume: 57 start-page: 2049 issue: 10 year: 2007 end-page: 2064 ident: CR80 article-title: The Hunter-Saxton equation describes the geodesic flow on a sphere publication-title: J. Geom. Phys. – volume: 5 start-page: 394 issue: 1 year: 2012 end-page: 433 ident: CR87 article-title: Sectional curvature in terms of the cometric, with applications to the Riemannian manifolds of landmarks publication-title: SIAM J. Imaging Sci. – volume: 41 issue: 34 year: 2008 ident: CR38 article-title: The variational particle-mesh method for matching curves publication-title: J. Phys. A, Math. Theor. – start-page: 531 year: 2011 end-page: 546 ident: CR134 article-title: Some aspects of Weil-Petersson geometry of Teichmüller spaces publication-title: Surveys in Geometric Analysis and Relativity – volume: 19 start-page: 25 issue: 1 year: 2008 end-page: 57 ident: CR139 article-title: A metric on shape space with explicit geodesics publication-title: Atti Accad. Naz. Lincei, Rend. Lincei, Mat. Appl. – year: 1997 ident: CR20 publication-title: Morphometric Tools for Landmark Data: Geometry and Biology – year: 1993 ident: CR54 publication-title: General Pattern Theory – ident: CR14 – volume: 26 start-page: 372 issue: 3 year: 2004 end-page: 383 ident: CR74 article-title: Analysis of planar shapes using geodesic paths on shape spaces publication-title: IEEE Trans. Pattern Anal. Mach. Intell. – volume: 71 start-page: 1661 issue: 11 year: 1993 end-page: 1664 ident: CR25 article-title: An integrable shallow water equation with peaked solitons publication-title: Phys. Rev. Lett. – year: 2008 ident: CR92 publication-title: Topics in Differential Geometry – volume: 1 start-page: 291 issue: 2 year: 2006 end-page: 468 ident: CR106 article-title: Towards a Lie theory of locally convex groups publication-title: Jpn. J. Math. – volume: 342 start-page: 617 issue: 3 year: 2008 end-page: 656 ident: CR70 article-title: Generalized Hunter-Saxton equation and the geometry of the group of circle diffeomorphisms publication-title: Math. Ann. – ident: CR79 – volume: 44 start-page: 5 issue: 1 year: 2013 end-page: 21 ident: CR13 article-title: Geodesic distance for right invariant Sobolev metrics of fractional order on the diffeomorphism group publication-title: Ann. Glob. Anal. Geom. – start-page: 133 year: 2006 end-page: 215 ident: CR91 article-title: Some geometric evolution equations arising as geodesic equations on groups of diffeomorphisms including the Hamiltonian approach publication-title: Phase Space Analysis of Partial Differential Equations – volume: 78 start-page: 787 issue: 4 year: 2003 end-page: 804 ident: CR35 article-title: Geodesic flow on the diffeomorphism group of the circle publication-title: Comment. Math. Helv. – ident: CR23 – volume: 94 start-page: 187 issue: 2 year: 2013 end-page: 208 ident: CR15 article-title: Sobolev metrics on the Riemannian manifold of all Riemannian metrics publication-title: J. Differ. Geom. – volume: 5 start-page: 351 year: 1988 end-page: 363 ident: CR73 article-title: Representations of the Virasoro algebra by the orbit method publication-title: J. Geom. Phys. – year: 2009 ident: CR84 article-title: Metrics of curves in shape optimization and analysis publication-title: CIME Course on “Level Set and PDE Based Reconstruction Methods: Applications to Inverse Problems and Image Processing” – volume: 23 start-page: 74 issue: 1 year: 2007 end-page: 113 ident: CR95 article-title: An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach publication-title: Appl. Comput. Harmon. Anal. – ident: CR130 – volume: 40 start-page: 47 issue: 1 year: 2011 end-page: 65 ident: CR122 article-title: The spectral function of a Riemannian orbifold publication-title: Ann. Glob. Anal. Geom. – volume: 43 start-page: 385 issue: 4 year: 2013 end-page: 395 ident: CR22 article-title: The energy functional on the Virasoro–Bott group with the -metric has no local minima publication-title: Ann. Glob. Anal. Geom. – volume: 30 start-page: 251 issue: 2 year: 2013 end-page: 274 ident: CR33 article-title: Conformal deformations of the Ebin metric and a generalized Calabi metric on the space of Riemannian metrics publication-title: Ann. Inst. Henri Poincaré, Anal. Non Linéaire – year: 2007 ident: CR45 publication-title: Global Analysis on Open Manifolds – ident: CR7 – volume: 273 start-page: 55 issue: 1–2 year: 2013 end-page: 93 ident: CR32 article-title: Geodesics, distance, and the CAT(0) property for the manifold of Riemannian metrics publication-title: Math. Z. – ident: CR28 – volume: 73 start-page: 345 issue: 3 year: 2007 end-page: 366 ident: CR123 article-title: Sobolev active contours publication-title: Int. J. Comput. Vis. – volume: 9 start-page: 291 issue: 2 year: 2013 ident: 490_CR71 publication-title: Pure Appl. Math. Q. doi: 10.4310/PAMQ.2013.v9.n2.a2 – volume: 23 start-page: 74 issue: 1 year: 2007 ident: 490_CR95 publication-title: Appl. Comput. Harmon. Anal. doi: 10.1016/j.acha.2006.07.004 – volume: 35 start-page: R51 issue: 32 year: 2002 ident: 490_CR34 publication-title: J. Phys. A doi: 10.1088/0305-4470/35/32/201 – volume: 11 start-page: 1407 issue: 4 year: 2012 ident: 490_CR47 publication-title: Commun. Pure Appl. Anal. doi: 10.3934/cpaa.2012.11.1407 – ident: 490_CR135 – volume: 5 start-page: 244 issue: 1 year: 2012 ident: 490_CR10 publication-title: SIAM J. Imaging Sci. doi: 10.1137/100807983 – volume: 5 start-page: 319 issue: 3 year: 2013 ident: 490_CR105 publication-title: J. Geom. Mech. doi: 10.3934/jgm.2013.5.319 – volume: 36 start-page: 323 issue: 3 year: 1989 ident: 490_CR49 publication-title: Mich. Math. J. doi: 10.1307/mmj/1029004004 – volume-title: Statistical Shape Analysis year: 1998 ident: 490_CR42 – volume: 30 start-page: 851 issue: 5 year: 2008 ident: 490_CR124 publication-title: IEEE Trans. Pattern Anal. Mach. Intell. doi: 10.1109/TPAMI.2007.70751 – volume: 89 start-page: 266 issue: 2–3 year: 2010 ident: 490_CR21 publication-title: Int. J. Comput. Vis. doi: 10.1007/s11263-009-0301-6 – volume-title: Riemannian Geometry and Geometric Analysis year: 2008 ident: 490_CR64 – volume: 58 start-page: 565 issue: 2 year: 1998 ident: 490_CR137 publication-title: SIAM J. Appl. Math. doi: 10.1137/S0036139995287685 – volume: 51 start-page: 1498 issue: 6 year: 1991 ident: 490_CR60 publication-title: SIAM J. Appl. Math. doi: 10.1137/0151075 – volume: 59 start-page: 1251 issue: 5–6 year: 1990 ident: 490_CR40 publication-title: J. Stat. Phys. doi: 10.1007/BF01334750 – start-page: 133 volume-title: Phase Space Analysis of Partial Differential Equations year: 2006 ident: 490_CR91 doi: 10.1007/978-0-8176-4521-2_11 – volume: 31 start-page: 155 issue: 2 year: 2007 ident: 490_CR37 publication-title: Ann. Glob. Anal. Geom. doi: 10.1007/s10455-006-9042-8 – start-page: 804 volume-title: Proceedings of the 12th European Conference on Computer Vision (ECCV’12) year: 2012 ident: 490_CR62 – volume: 16 start-page: 81 issue: 2 year: 1984 ident: 490_CR67 publication-title: Bull. Lond. Math. Soc. doi: 10.1112/blms/16.2.81 – volume: 22 start-page: 269 issue: 3 year: 2007 ident: 490_CR82 publication-title: Dyn. Syst. doi: 10.1080/14689360701191931 – volume: 10 start-page: 217 year: 2005 ident: 490_CR93 publication-title: Doc. Math. doi: 10.4171/dm/187 – volume: 57 start-page: 2049 issue: 10 year: 2007 ident: 490_CR80 publication-title: J. Geom. Phys. doi: 10.1016/j.geomphys.2007.05.003 – volume-title: Pattern Theory: the Stochastic Analysis of Real-World Signals year: 2010 ident: 490_CR104 doi: 10.1201/b10620 – volume: 251 start-page: 504 issue: 3 year: 2011 ident: 490_CR109 publication-title: J. Differ. Equ. doi: 10.1016/j.jde.2011.05.005 – volume-title: Manifolds of Differentiable Mappings year: 1980 ident: 490_CR90 – ident: 490_CR51 – ident: 490_CR28 – volume: 44 start-page: 361 issue: 4 year: 2013 ident: 490_CR8 publication-title: Ann. Glob. Anal. Geom. doi: 10.1007/s10455-013-9370-4 – start-page: II-10 volume-title: Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR 2004) year: 2004 ident: 490_CR99 doi: 10.1109/CVPR.2004.1315138 – volume: 9 start-page: 1357 issue: 8 year: 2000 ident: 490_CR63 publication-title: IEEE Trans. Image Process. doi: 10.1109/83.855431 – volume: 78 start-page: 787 issue: 4 year: 2003 ident: 490_CR35 publication-title: Comment. Math. Helv. doi: 10.1007/s00014-003-0785-6 – volume: 5 start-page: 313 issue: 3 year: 2005 ident: 490_CR83 publication-title: Found. Comput. Math. doi: 10.1007/s10208-004-0145-y – volume: 284 start-page: 319 issue: 1 year: 1984 ident: 490_CR48 publication-title: Trans. Am. Math. Soc. – volume-title: Shape and Shape Theory year: 1999 ident: 490_CR68 doi: 10.1002/9780470317006 – volume: 21 start-page: 325 issue: 3 year: 1980 ident: 490_CR89 publication-title: Cah. Topol. Géom. Différ. – start-page: 203 volume-title: The Breadth of Symplectic and Poisson Geometry year: 2005 ident: 490_CR59 – volume: 24 start-page: 203 issue: 3 year: 1998 ident: 490_CR101 publication-title: J. Geom. Phys. doi: 10.1016/S0393-0440(97)00010-7 – ident: 490_CR86 – ident: 490_CR14 doi: 10.4310/jdg/1367438647 – volume: 20 start-page: 179 issue: 1–2 year: 2004 ident: 490_CR53 publication-title: J. Math. Imaging Vis. doi: 10.1023/B:JMIV.0000011326.88682.e5 – volume: 39 start-page: 131 issue: 2 year: 2011 ident: 490_CR30 publication-title: Ann. Glob. Anal. Geom. doi: 10.1007/s10455-010-9227-z – volume: 43 start-page: 385 issue: 4 year: 2013 ident: 490_CR22 publication-title: Ann. Glob. Anal. Geom. doi: 10.1007/s10455-012-9350-0 – volume: 79 start-page: 361 issue: 2–4 year: 1994 ident: 490_CR61 publication-title: Physica D doi: 10.1016/S0167-2789(05)80015-6 – volume: 26 start-page: 372 issue: 3 year: 2004 ident: 490_CR74 publication-title: IEEE Trans. Pattern Anal. Mach. Intell. doi: 10.1109/TPAMI.2004.1262333 – ident: 490_CR79 – volume: 38 start-page: 715 issue: 6 year: 1985 ident: 490_CR36 publication-title: Commun. Pure Appl. Math. doi: 10.1002/cpa.3160380605 – ident: 490_CR46 – volume-title: Aspects Géométriques et Algébriques, Généralisations [Geometric and Algebraic Aspects, Generalizations] year: 2007 ident: 490_CR56 – volume: 7 start-page: 61 issue: 1 year: 1997 ident: 490_CR77 publication-title: J. Lie Theory – ident: 490_CR23 – volume: 273 start-page: 55 issue: 1–2 year: 2013 ident: 490_CR32 publication-title: Math. Z. doi: 10.1007/s00209-012-0996-x – volume: 18 start-page: 325 issue: 3 year: 2009 ident: 490_CR78 publication-title: Exp. Math. doi: 10.1080/10586458.2009.10129054 – volume: 4 start-page: 375 year: 2002 ident: 490_CR98 publication-title: Annu. Rev. Biomed. Eng. doi: 10.1146/annurev.bioeng.4.092101.125733 – volume-title: Shapes and Diffeomorphisms year: 2010 ident: 490_CR138 doi: 10.1007/978-3-642-12055-8 – start-page: 350 volume-title: Proc. IEEE Conf. Computer Vision and Pattern Recognition year: 2004 ident: 490_CR117 – volume: 17 start-page: 7 issue: 1 year: 2010 ident: 490_CR132 publication-title: J. Nonlinear Math. Phys. doi: 10.1142/S1402925110000544 – ident: 490_CR9 – volume: 93 start-page: 203 issue: 2 year: 2013 ident: 490_CR31 publication-title: J. Differ. Geom. doi: 10.4310/jdg/1361800866 – volume-title: Theory of Function Spaces. II year: 1992 ident: 490_CR127 doi: 10.1007/978-3-0346-0419-2 – volume-title: Pattern Theory: from Representation to Inference year: 2007 ident: 490_CR55 – volume: 5 start-page: 173 issue: 2 year: 2005 ident: 490_CR129 publication-title: Found. Comput. Math. doi: 10.1007/s10208-004-0128-z – volume: 68 start-page: 337 year: 1950 ident: 490_CR2 publication-title: Trans. Am. Math. Soc. doi: 10.1090/S0002-9947-1950-0051437-7 – volume-title: Global Analysis on Open Manifolds year: 2007 ident: 490_CR45 – ident: 490_CR3 – volume: 70 start-page: 55 year: 2006 ident: 490_CR118 publication-title: Int. J. Comput. Vis. doi: 10.1007/s11263-006-6121-z – volume-title: Morphometric Tools for Landmark Data: Geometry and Biology year: 1997 ident: 490_CR20 – volume: 10 start-page: 423 issue: 4 year: 2008 ident: 490_CR85 publication-title: Interfaces Free Bound. doi: 10.4171/IFB/196 – volume: 1 start-page: 391 issue: 4 year: 1991 ident: 490_CR26 publication-title: Differ. Geom. Appl. doi: 10.1016/0926-2245(91)90015-2 – volume: 30 start-page: 33 issue: 1 year: 2012 ident: 490_CR11 publication-title: Differ. Geom. Appl. doi: 10.1016/j.difgeo.2011.10.002 – start-page: 1403 volume-title: International Conference on Computer Vision year: 2005 ident: 490_CR27 – start-page: 11 volume-title: Global Analysis (Proc. Sympos. Pure Math.) year: 1970 ident: 490_CR43 – volume: 89 start-page: 275 issue: 4 year: 1980 ident: 490_CR17 publication-title: Monatshefte Math. doi: 10.1007/BF01659491 – start-page: 310 volume-title: Differential Geometric Methods in Mathematical Physics (Proc. Internat. Conf Tech. Univ. Clausthal) year: 1981 ident: 490_CR18 doi: 10.1007/3-540-10578-6_35 – volume: 5 start-page: 351 year: 1988 ident: 490_CR73 publication-title: J. Geom. Phys. doi: 10.1016/0393-0440(88)90029-0 – volume: 93 start-page: 293 issue: 3 year: 2011 ident: 490_CR131 publication-title: Int. J. Comput. Vis. doi: 10.1007/s11263-010-0416-9 – volume: 66 start-page: 123 issue: 1 year: 2008 ident: 490_CR115 publication-title: Q. Appl. Math. doi: 10.1090/S0033-569X-07-01084-4 – volume: 94 start-page: 187 issue: 2 year: 2013 ident: 490_CR15 publication-title: J. Differ. Geom. doi: 10.4310/jdg/1367438647 – volume: 99 start-page: 103 issue: 1 year: 2012 ident: 490_CR39 publication-title: Int. J. Comput. Vis. doi: 10.1007/s11263-012-0520-0 – ident: 490_CR116 – volume: 41 start-page: 281 issue: 3 year: 2012 ident: 490_CR110 publication-title: Ann. Glob. Anal. Geom. doi: 10.1007/s10455-011-9283-z – volume: 58 start-page: 181 issue: 3 year: 1975 ident: 490_CR66 publication-title: Arch. Ration. Mech. Anal. doi: 10.1007/BF00280740 – volume: 41 issue: 34 year: 2008 ident: 490_CR38 publication-title: J. Phys. A, Math. Theor. doi: 10.1088/1751-8113/41/34/344003 – volume-title: Partial Differential Equations I. Basic Theory year: 2011 ident: 490_CR126 – ident: 490_CR52 doi: 10.1093/qmath/42.1.183 – volume-title: CIME Course on “Level Set and PDE Based Reconstruction Methods: Applications to Inverse Problems and Image Processing” year: 2009 ident: 490_CR84 – volume-title: Theory of Reproducing Kernels and Its Applications year: 1988 ident: 490_CR112 – volume: 7 start-page: 65 issue: 1 year: 1982 ident: 490_CR58 publication-title: Bull. Am. Math. Soc. doi: 10.1090/S0273-0979-1982-15004-2 – volume: 21 start-page: 2447 issue: 10 year: 2008 ident: 490_CR107 publication-title: Nonlinearity doi: 10.1088/0951-7715/21/10/013 – volume: 342 start-page: 617 issue: 3 year: 2008 ident: 490_CR70 publication-title: Math. Ann. doi: 10.1007/s00208-008-0250-3 – volume: 98 start-page: 211 issue: 3 year: 1984 ident: 490_CR65 publication-title: Monatshefte Math. doi: 10.1007/BF01507749 – volume: 28 start-page: 1602 issue: 10 year: 2006 ident: 490_CR81 publication-title: IEEE Trans. Pattern Anal. Mach. Intell. doi: 10.1109/TPAMI.2006.208 – volume: 41 start-page: 61 year: 2001 ident: 490_CR97 publication-title: Int. J. Comput. Vis. doi: 10.1023/A:1011161132514 – volume: 176 start-page: 116 issue: 1 year: 2003 ident: 490_CR69 publication-title: Adv. Math. doi: 10.1016/S0001-8708(02)00063-4 – volume: 4 start-page: 109 issue: 1 year: 2011 ident: 490_CR125 publication-title: SIAM J. Imaging Sci. doi: 10.1137/090781139 – volume: 92 start-page: 102 year: 1970 ident: 490_CR44 publication-title: Ann. Math. (2) doi: 10.2307/1970699 – volume: 33 start-page: 1415 issue: 7 year: 2011 ident: 490_CR121 publication-title: IEEE Trans. Pattern Anal. Mach. Intell. doi: 10.1109/TPAMI.2010.184 – ident: 490_CR111 – volume: 40 start-page: 47 issue: 1 year: 2011 ident: 490_CR122 publication-title: Ann. Glob. Anal. Geom. doi: 10.1007/s10455-010-9244-y – volume: 71 start-page: 1661 issue: 11 year: 1993 ident: 490_CR25 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.71.1661 – volume: 34 start-page: 177 year: 1976 ident: 490_CR19 publication-title: Math. Biosci. doi: 10.1016/0025-5564(77)90101-8 – volume: 21 start-page: 329 year: 1987 ident: 490_CR108 publication-title: Funct. Anal. Appl. doi: 10.1007/BF01077813 – volume: 4 start-page: 365 issue: 4 year: 2012 ident: 490_CR12 publication-title: J. Geom. Mech. – start-page: 2 volume-title: San Diego ’91 year: 1991 ident: 490_CR103 – start-page: 913 volume-title: Proceedings of the Tenth IEEE International Conference on Computer Vision year: 2005 ident: 490_CR136 – volume: 3 start-page: 389 issue: 4 year: 2011 ident: 490_CR5 publication-title: J. Geom. Mech. doi: 10.3934/jgm.2011.3.389 – start-page: 531 volume-title: Surveys in Geometric Analysis and Relativity year: 2011 ident: 490_CR134 – volume: 44 start-page: 529 issue: 4 year: 2013 ident: 490_CR96 publication-title: Ann. Glob. Anal. Geom. doi: 10.1007/s10455-013-9380-2 – volume: 39 start-page: 533 year: 2010 ident: 490_CR29 publication-title: Calc. Var. Partial Differ. Equ. doi: 10.1007/s00526-010-0323-5 – volume: 23 start-page: 334 issue: 1 year: 2013 ident: 490_CR72 publication-title: Geom. Funct. Anal. doi: 10.1007/s00039-013-0210-2 – volume: 77 start-page: 109 issue: 3 year: 2013 ident: 490_CR88 publication-title: Izv. Math. doi: 10.1070/IM2013v077n03ABEH002648 – volume: 6 start-page: 2859 issue: 16 year: 1991 ident: 490_CR114 publication-title: Int. J. Mod. Phys. A doi: 10.1142/S0217751X91001416 – volume: 2 start-page: 55 issue: 51 year: 2009 ident: 490_CR50 publication-title: Bull. Transilv. Univ. Braşov, Ser. III – volume-title: The Convenient Setting of Global Analysis year: 1997 ident: 490_CR76 doi: 10.1090/surv/053 – volume: 1 start-page: 291 issue: 2 year: 2006 ident: 490_CR106 publication-title: Jpn. J. Math. doi: 10.1007/s11537-006-0606-y – volume: 61 start-page: 139 issue: 2 year: 2005 ident: 490_CR16 publication-title: Int. J. Comput. Vis. doi: 10.1023/B:VISI.0000043755.93987.aa – volume-title: Shapes and Geometries year: 2011 ident: 490_CR41 doi: 10.1137/1.9780898719826 – volume: 28 start-page: 213 year: 1998 ident: 490_CR128 publication-title: Int. J. Comput. Vis. doi: 10.1023/A:1008001603737 – volume: 62 start-page: 247 issue: 3–4 year: 2003 ident: 490_CR1 publication-title: Publ. Math. (Debr.) doi: 10.5486/PMD.2003.2821 – volume: 11 start-page: 327 issue: 2–3 year: 2004 ident: 490_CR133 publication-title: Math. Res. Lett. doi: 10.4310/MRL.2004.v11.n3.a5 – volume: 5 start-page: 394 issue: 1 year: 2012 ident: 490_CR87 publication-title: SIAM J. Imaging Sci. doi: 10.1137/10081678X – volume: 30 start-page: 251 issue: 2 year: 2013 ident: 490_CR33 publication-title: Ann. Inst. Henri Poincaré, Anal. Non Linéaire doi: 10.1016/j.anihpc.2012.07.003 – volume: 44 start-page: 5 issue: 1 year: 2013 ident: 490_CR13 publication-title: Ann. Glob. Anal. Geom. doi: 10.1007/s10455-012-9353-x – start-page: 182 volume-title: 3nd MICCAI Workshop on Mathematical Foundations of Computational Anatomy year: 2011 ident: 490_CR4 – volume: 41 start-page: 461 issue: 4 year: 2012 ident: 490_CR6 publication-title: Ann. Glob. Anal. Geom. doi: 10.1007/s10455-011-9294-9 – ident: 490_CR7 – volume-title: The Statistical Theory of Shape year: 1996 ident: 490_CR119 doi: 10.1007/978-1-4612-4032-7 – volume: 12 start-page: 49 issue: 1 year: 2012 ident: 490_CR113 publication-title: Found. Comput. Math. doi: 10.1007/s10208-011-9091-7 – volume-title: Topics in Differential Geometry year: 2008 ident: 490_CR92 doi: 10.1090/gsm/093 – volume: 73 start-page: 307 issue: 3 year: 2007 ident: 490_CR100 publication-title: Int. J. Comput. Vis. doi: 10.1007/s11263-006-9968-0 – volume: 73 start-page: 345 issue: 3 year: 2007 ident: 490_CR123 publication-title: Int. J. Comput. Vis. doi: 10.1007/s11263-006-0635-2 – ident: 490_CR130 – start-page: 171 volume-title: Advances in Applied Mechanics year: 1948 ident: 490_CR24 – volume: 68 start-page: 806 issue: 3 year: 2008 ident: 490_CR140 publication-title: SIAM J. Appl. Math. doi: 10.1137/060664707 – ident: 490_CR102 – volume-title: General Pattern Theory year: 1993 ident: 490_CR54 – volume: 40 start-page: 857 issue: 2 year: 1999 ident: 490_CR75 publication-title: J. Math. Phys. doi: 10.1063/1.532690 – start-page: 1 volume-title: 3rd MICCAI Workshop on Mathematical Foundations of Computational Anatomy year: 2011 ident: 490_CR57 – volume: 37 start-page: 3 year: 2006 ident: 490_CR120 publication-title: Sovr. Mat. Prilozh. Geom. – volume: 8 start-page: 1 year: 2006 ident: 490_CR94 publication-title: J. Eur. Math. Soc. doi: 10.4171/JEMS/37 – volume: 19 start-page: 25 issue: 1 year: 2008 ident: 490_CR139 publication-title: Atti Accad. Naz. Lincei, Rend. Lincei, Mat. Appl. doi: 10.4171/RLM/506 |
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| Title | Overview of the Geometries of Shape Spaces and Diffeomorphism Groups |
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