Generating tool paths on surfaces for a numerically controlled calotte cutting system

Non-planar driving mirrors have a complex geometry, which is defined by a base surface (the so-called calotte) and a planar contour. We describe and compare methods for generating NC tool paths for a calotte cutting machine from these data. The methods are based on piecewise circular arcs and on pol...

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Published inComputer aided design Vol. 36; no. 4; pp. 325 - 331
Main Authors Wings, Elmar, Jüttler, Bert
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.02.2004
Subjects
Distance bounds
NC tool paths
Pythagorean hodograph curves
Spline curves
Spline curves
NC tool paths
Distance bounds
Pythagorean hodograph curves
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Abstract Non-planar driving mirrors have a complex geometry, which is defined by a base surface (the so-called calotte) and a planar contour. We describe and compare methods for generating NC tool paths for a calotte cutting machine from these data. The methods are based on piecewise circular arcs and on polynomial spline curves. Distance bounds for the resulting tool paths, which are needed in order to check the accuracy, are also discussed. The paper concludes with suggestions for research on the use of Pythagorean hodograph curves in industrial NC tool path generation.
AbstractList Non-planar driving mirrors have a complex geometry, which is defined by a base surface (the so-called calotte) and a planar contour. We describe and compare methods for generating NC tool paths for a calotte cutting machine from these data. The methods are based on piecewise circular arcs and on polynomial spline curves. Distance bounds for the resulting tool paths, which are needed in order to check the accuracy, are also discussed. The paper concludes with suggestions for research on the use of Pythagorean hodograph curves in industrial NC tool path generation.
Author Wings, Elmar
Jüttler, Bert
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  givenname: Bert
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  organization: Institut für Analysis, Johannes-Kepler-Universität Linz, Abt. für Angewandte Geometrie, Altenberger Str., 69 A-4040 Linz, Austria
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Issue 4
Keywords Spline curves
NC tool paths
Distance bounds
Pythagorean hodograph curves
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References Farouki (BIB2) 2002
Costantini, Farouki, Manni, Sestini (BIB3) 2001; 18
Farouki, Tsai, Feldman (BIB4) 2001; 18
Nutbourne, Martin, Differential (BIB12) 1988
Jüttler (BIB9) 2001; 70
Horsch, Jüttler (BIB7) 1998; 30
Piegl, Tiller (BIB11) 1995
.
Farouki RT, Smith TS, Timar SD. Specification of time-optimal feedrates for curved tool paths in 3-axis machining, preprint; 2002 (available from
Hoschek, Lasser (BIB8) 1993
Sederberg (BIB10) 1984; 1
Albrecht, Farouki (BIB1) 1996; 5
Farouki, Tsai (BIB5) 2001; 33
Piegl (10.1016/S0010-4485(03)00103-9_BIB11) 1995
Farouki (10.1016/S0010-4485(03)00103-9_BIB4) 2001; 18
Jüttler (10.1016/S0010-4485(03)00103-9_BIB9) 2001; 70
Horsch (10.1016/S0010-4485(03)00103-9_BIB7) 1998; 30
10.1016/S0010-4485(03)00103-9_BIB6
Hoschek (10.1016/S0010-4485(03)00103-9_BIB8) 1993
Farouki (10.1016/S0010-4485(03)00103-9_BIB2) 2002
Costantini (10.1016/S0010-4485(03)00103-9_BIB3) 2001; 18
Farouki (10.1016/S0010-4485(03)00103-9_BIB5) 2001; 33
Nutbourne (10.1016/S0010-4485(03)00103-9_BIB12) 1988
Albrecht (10.1016/S0010-4485(03)00103-9_BIB1) 1996; 5
Sederberg (10.1016/S0010-4485(03)00103-9_BIB10) 1984; 1
References_xml – start-page: 405
  year: 2002
  end-page: 428
  ident: BIB2
  article-title: Pythagorean-hodograph curves
  publication-title: Handbook of computer aided geometric design
  contributor:
    fullname: Farouki
– volume: 5
  start-page: 417
  year: 1996
  end-page: 442
  ident: BIB1
  article-title: Construction of
  publication-title: Adv Comput Math
  contributor:
    fullname: Farouki
– volume: 70
  start-page: 1089
  year: 2001
  end-page: 1111
  ident: BIB9
  article-title: Hermite interpolation by Pythagorean hodograph curves of degree seven
  publication-title: Math Comput
  contributor:
    fullname: Jüttler
– volume: 1
  start-page: 241
  year: 1984
  end-page: 255
  ident: BIB10
  article-title: Planar piecewise algebraic curves
  publication-title: Comput Aided Geom Des
  contributor:
    fullname: Sederberg
– volume: 18
  start-page: 875
  year: 2001
  end-page: 897
  ident: BIB3
  article-title: Computation of optimal composite parameterizations
  publication-title: Comput Aided Geom Des
  contributor:
    fullname: Sestini
– volume: 18
  start-page: 245
  year: 2001
  end-page: 265
  ident: BIB4
  article-title: Performance analysis of CNC interpolators for time dependent feedrates along PH curves
  publication-title: Comput Aided Geom Des
  contributor:
    fullname: Feldman
– year: 1988
  ident: BIB12
  publication-title: Geometry applied to curve and surface design. Vol. 1:foundations
  contributor:
    fullname: Differential
– volume: 30
  start-page: 217
  year: 1998
  end-page: 224
  ident: BIB7
  article-title: Cartesian spline interpolation for industrial robots
  publication-title: Comput-Aided Des
  contributor:
    fullname: Jüttler
– year: 1993
  ident: BIB8
  publication-title: Fundamentals of computer aided geometric design
  contributor:
    fullname: Lasser
– year: 1995
  ident: BIB11
  publication-title: The NURBS book
  contributor:
    fullname: Tiller
– volume: 33
  start-page: 155
  year: 2001
  end-page: 165
  ident: BIB5
  article-title: Exact Taylor series coefficients for variable-feedrate CNC curve interpolators
  publication-title: Comput Aided Des
  contributor:
    fullname: Tsai
– volume: 18
  start-page: 875
  year: 2001
  ident: 10.1016/S0010-4485(03)00103-9_BIB3
  article-title: Computation of optimal composite parameterizations
  publication-title: Comput Aided Geom Des
  doi: 10.1016/S0167-8396(01)00071-1
  contributor:
    fullname: Costantini
– volume: 30
  start-page: 217
  year: 1998
  ident: 10.1016/S0010-4485(03)00103-9_BIB7
  article-title: Cartesian spline interpolation for industrial robots
  publication-title: Comput-Aided Des
  doi: 10.1016/S0010-4485(97)00061-4
  contributor:
    fullname: Horsch
– volume: 70
  start-page: 1089
  year: 2001
  ident: 10.1016/S0010-4485(03)00103-9_BIB9
  article-title: Hermite interpolation by Pythagorean hodograph curves of degree seven
  publication-title: Math Comput
  doi: 10.1090/S0025-5718-00-01288-6
  contributor:
    fullname: Jüttler
– ident: 10.1016/S0010-4485(03)00103-9_BIB6
– volume: 5
  start-page: 417
  year: 1996
  ident: 10.1016/S0010-4485(03)00103-9_BIB1
  article-title: Construction of C2 Pythagorean-hodograph interpolating splines by the homotopy method
  publication-title: Adv Comput Math
  doi: 10.1007/BF02124754
  contributor:
    fullname: Albrecht
– year: 1988
  ident: 10.1016/S0010-4485(03)00103-9_BIB12
  contributor:
    fullname: Nutbourne
– volume: 1
  start-page: 241
  year: 1984
  ident: 10.1016/S0010-4485(03)00103-9_BIB10
  article-title: Planar piecewise algebraic curves
  publication-title: Comput Aided Geom Des
  doi: 10.1016/0167-8396(84)90011-6
  contributor:
    fullname: Sederberg
– volume: 33
  start-page: 155
  year: 2001
  ident: 10.1016/S0010-4485(03)00103-9_BIB5
  article-title: Exact Taylor series coefficients for variable-feedrate CNC curve interpolators
  publication-title: Comput Aided Des
  doi: 10.1016/S0010-4485(00)00085-3
  contributor:
    fullname: Farouki
– start-page: 405
  year: 2002
  ident: 10.1016/S0010-4485(03)00103-9_BIB2
  article-title: Pythagorean-hodograph curves
  contributor:
    fullname: Farouki
– year: 1995
  ident: 10.1016/S0010-4485(03)00103-9_BIB11
  contributor:
    fullname: Piegl
– year: 1993
  ident: 10.1016/S0010-4485(03)00103-9_BIB8
  contributor:
    fullname: Hoschek
– volume: 18
  start-page: 245
  year: 2001
  ident: 10.1016/S0010-4485(03)00103-9_BIB4
  article-title: Performance analysis of CNC interpolators for time dependent feedrates along PH curves
  publication-title: Comput Aided Geom Des
  doi: 10.1016/S0167-8396(01)00029-2
  contributor:
    fullname: Farouki
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Snippet Non-planar driving mirrors have a complex geometry, which is defined by a base surface (the so-called calotte) and a planar contour. We describe and compare...
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NC tool paths
Pythagorean hodograph curves
Spline curves
Title Generating tool paths on surfaces for a numerically controlled calotte cutting system
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