A meshless strategy for shape diameter analysis
An approach to computing an intuitive local thickness from surface meshes was introduced with the shape diameter function (SDF) in Shapira et al. (Vis Comput 24(4):249–259, 2008 ). In this paper, we present a new dynamic approach to the computation of the SDF for a cloud of points on the boundary of...
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| Published in | The Visual computer Vol. 33; no. 3; pp. 303 - 315 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.03.2017
Springer Nature B.V |
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| Abstract | An approach to computing an intuitive local thickness from surface meshes was introduced with the shape diameter function (SDF) in Shapira et al. (Vis Comput 24(4):249–259,
2008
). In this paper, we present a new dynamic approach to the computation of the SDF for a cloud of points on the boundary of a volumetric object. We employ a particle flow driven by a simple collision test. The resulting SDF scalar field can be naturally exploited as a shape property for the volume-oriented object decomposition. Experimental results show the effectiveness and efficiency of our proposals. |
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| AbstractList | An approach to computing an intuitive local thickness from surface meshes was introduced with the shape diameter function (SDF) in Shapira et al. (Vis Comput 24(4):249–259,
2008
). In this paper, we present a new dynamic approach to the computation of the SDF for a cloud of points on the boundary of a volumetric object. We employ a particle flow driven by a simple collision test. The resulting SDF scalar field can be naturally exploited as a shape property for the volume-oriented object decomposition. Experimental results show the effectiveness and efficiency of our proposals. An approach to computing an intuitive local thickness from surface meshes was introduced with the shape diameter function (SDF) in Shapira et al. (Vis Comput 24(4):249–259, 2008). In this paper, we present a new dynamic approach to the computation of the SDF for a cloud of points on the boundary of a volumetric object. We employ a particle flow driven by a simple collision test. The resulting SDF scalar field can be naturally exploited as a shape property for the volume-oriented object decomposition. Experimental results show the effectiveness and efficiency of our proposals. |
| Author | Huska, Martin Morigi, Serena |
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| CitedBy_id | crossref_primary_10_1016_j_cam_2018_06_048 crossref_primary_10_1109_ACCESS_2020_2976847 crossref_primary_10_1177_09544054221118795 crossref_primary_10_1177_1550147718822458 |
| Cites_doi | 10.1007/s11263-009-0279-0 10.1016/j.cad.2012.04.005 10.1145/2611811 10.1145/1531326.1531379 10.1145/1015706.1015817 10.1007/s00371-013-0873-6 10.1111/j.1467-8659.2007.01103.x 10.1016/j.camwa.2006.04.002 10.1007/s00371-012-0749-1 10.1016/j.gmod.2013.06.001 10.1111/cgf.12169 10.1007/s00371-012-0725-9 10.1080/10586458.1993.10504266 10.1007/s00371-007-0197-5 10.1109/TVCG.2011.131 10.1109/SMI.2006.24 10.1145/1236246.1236265 10.1007/978-3-662-05105-4_2 10.1007/978-3-642-24734-7_16 10.5244/C.22.40 10.1007/978-3-642-24785-9_4 |
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| Keywords | Variational partitioning Shape diameter function Meshless surface processing Shape analysis |
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| References | Shapira, Shalom, Shamir, Cohen-Or, Zhang (CR21) 2010; 89 CR2 Casciola, Lazzaro, Montefusco, Morigi (CR5) 2006; 51 Fayolle, Pasko (CR8) 2013; 29 Shapira, Shamir, Cohen-Or (CR20) 2008; 24 CR3 Chen, Golovinskiy, Funkhouser (CR4) 2009; 28 CR6 CR19 Rolland-Nevière, Doërr, Alliez (CR17) 2013; 75 Pinkall, Polthier (CR16) 1993; 2 CR15 Kaick, Fish, Kleiman, Asafi, Cohen-Or (CR10) 2014; 34 Yan, Wang, Liu, Yang (CR23) 2012; 44 CR13 Cohen-Steiner, Alliez, Desbrun (CR7) 2004; 23 CR12 CR11 CR22 Asafi, Goren, Cohen-Or (CR1) 2013; 32 Heider, Pierre-Pierre, Li, Mueller, Grimm (CR9) 2012; 28 Shamir (CR18) 2008; 27 Morigi, Rucci (CR14) 2014; 30 A Shamir (1198_CR18) 2008; 27 G Casciola (1198_CR5) 2006; 51 X Rolland-Nevière (1198_CR17) 2013; 75 1198_CR19 S Morigi (1198_CR14) 2014; 30 S Asafi (1198_CR1) 2013; 32 P Heider (1198_CR9) 2012; 28 1198_CR15 1198_CR13 1198_CR12 D Cohen-Steiner (1198_CR7) 2004; 23 1198_CR11 U Pinkall (1198_CR16) 1993; 2 1198_CR22 D-M Yan (1198_CR23) 2012; 44 X Chen (1198_CR4) 2009; 28 1198_CR2 P-A Fayolle (1198_CR8) 2013; 29 1198_CR3 1198_CR6 L Shapira (1198_CR20) 2008; 24 L Shapira (1198_CR21) 2010; 89 OV Kaick (1198_CR10) 2014; 34 |
| References_xml | – volume: 89 start-page: 309 issue: 2–3 year: 2010 end-page: 326 ident: CR21 article-title: Contextual part analogies in 3d objects publication-title: Int. J. Comput. Vis. doi: 10.1007/s11263-009-0279-0 contributor: fullname: Zhang – ident: CR22 – ident: CR19 – volume: 44 start-page: 1072 issue: 11 year: 2012 end-page: 1082 ident: CR23 article-title: Variational mesh segmentation via quadric surface fitting publication-title: Comput. Aided Des. doi: 10.1016/j.cad.2012.04.005 contributor: fullname: Yang – volume: 34 start-page: 4:1 issue: 1 year: 2014 end-page: 4:11 ident: CR10 article-title: Shape segmentation by approximate convexity analysis publication-title: ACM Trans. Graph. doi: 10.1145/2611811 contributor: fullname: Cohen-Or – volume: 28 start-page: 73:1 issue: 3 year: 2009 end-page: 73:12 ident: CR4 article-title: A benchmark for 3d mesh segmentation publication-title: ACM Trans. Graph. doi: 10.1145/1531326.1531379 contributor: fullname: Funkhouser – ident: CR3 – volume: 23 start-page: 905 issue: 3 year: 2004 end-page: 914 ident: CR7 article-title: Variational shape approximation publication-title: ACM Trans. Graph. doi: 10.1145/1015706.1015817 contributor: fullname: Desbrun – volume: 30 start-page: 479 issue: 5 year: 2014 end-page: 492 ident: CR14 article-title: Multilevel mesh simplification publication-title: Vis. Comput. doi: 10.1007/s00371-013-0873-6 contributor: fullname: Rucci – ident: CR15 – volume: 27 start-page: 1539 issue: 6 year: 2008 end-page: 1556 ident: CR18 article-title: A survey on mesh segmentation techniques publication-title: Comput. Graph. Forum doi: 10.1111/j.1467-8659.2007.01103.x contributor: fullname: Shamir – ident: CR2 – volume: 51 start-page: 1185 issue: 8 year: 2006 end-page: 1198 ident: CR5 article-title: Shape preserving surface reconstruction using locally anisotropic radial basis function interpolants publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2006.04.002 contributor: fullname: Morigi – ident: CR12 – ident: CR13 – volume: 29 start-page: 449 issue: 5 year: 2013 end-page: 465 ident: CR8 article-title: Segmentation of discrete point clouds using an extensible set of templates publication-title: Vis. Comput. doi: 10.1007/s00371-012-0749-1 contributor: fullname: Pasko – ident: CR11 – volume: 75 start-page: 279 issue: 6 year: 2013 end-page: 296 ident: CR17 article-title: Robust diameter-based thickness estimation of 3d objects publication-title: Graph. 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Graph. doi: 10.1145/1531326.1531379 contributor: fullname: X Chen – volume: 29 start-page: 449 issue: 5 year: 2013 ident: 1198_CR8 publication-title: Vis. Comput. doi: 10.1007/s00371-012-0749-1 contributor: fullname: P-A Fayolle – volume: 28 start-page: 919 issue: 9 year: 2012 ident: 1198_CR9 publication-title: Vis. Comput. doi: 10.1007/s00371-012-0725-9 contributor: fullname: P Heider – volume: 23 start-page: 905 issue: 3 year: 2004 ident: 1198_CR7 publication-title: ACM Trans. Graph. doi: 10.1145/1015706.1015817 contributor: fullname: D Cohen-Steiner – ident: 1198_CR19 doi: 10.1007/978-3-642-24734-7_16 – ident: 1198_CR22 doi: 10.5244/C.22.40 – ident: 1198_CR6 – ident: 1198_CR15 doi: 10.1007/978-3-642-24785-9_4 – volume: 24 start-page: 249 issue: 4 year: 2008 ident: 1198_CR20 publication-title: Vis. Comput. doi: 10.1007/s00371-007-0197-5 contributor: fullname: L Shapira |
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| SubjectTerms | Algorithms Artificial Intelligence Computer Graphics Computer Science Datasets Decomposition Diameters Image Processing and Computer Vision Industrial design Industrial production Original Article Production costs Scalars Sparsity Vision systems |
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| Title | A meshless strategy for shape diameter analysis |
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