Computer Aided Geometric Design, Volume 18

Volume 18, Number 1, February 2001

• Wen-Han Qian, Kang Qian:
  Optimising the four-arc approximation to ellipses. 1-19
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• Eng-Wee Chionh, Thomas W. Sederberg:
  On the minors of the implicitization Bézout matrix for a rational plane curve. 21-36
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• Esmeralda Mainar, Juan Manuel Peña, Javier Sánchez-Reyes:
  Shape preserving alternatives to the rational Bézier model. 37-60
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• Falai Chen, Jianmin Zheng, Thomas W. Sederberg:
  The mu-basis of a rational ruled surface. 61-72
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• Wolfgang Schuster:
  Erratum to: "A closed algebraic interpolation curve", Computer Aided Geometric Design 17 (7) (2000) 631-642. 73-76
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Volume 18, Number 2, March 2001

• Michael S. Floater, Martin Reimers:
  Meshless parameterization and surface reconstruction. 77-92
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• Hwan Pyo Moon, Rida T. Farouki, Hyeong In Choi:
  Construction and shape analysis of PH quintic Hermite interpolants. 93-115
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• Jun-Hai Yong, Shi-Min Hu, Jia-Guang Sun, Xing-Yu Tan:
  Degree reduction of B-spline curves. 117-127
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• J. J. Zheng:
  The n-sided control point surfaces without twist constraints. 129-134
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• A. A. Ball, J. J. Zheng:
  Degree elevation for n-sided surfaces. 135-147
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Volume 18, Number 3, April 2001

• Chandrajit L. Bajaj, Guoliang Xu:
  Regular algebraic curve segments (III) - applications in interactive design and data fitting. 149-173
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• Jean-Charles Fiorot, Olivier Gibaru:
  A rectangular Gm-continuous filling surface patch and some improvements at corners. 175-194
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• V. L. Rvachev, T. I. Sheiko, Vladimir A. Shapiro, Igor G. Tsukanov:
  Transfinite interpolation over implicitly defined sets. 195-220
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• Guoliang Xu, Hongci Huang, Chandrajit L. Bajaj:
  C₁ modeling with A-patches from rational trivariate functions. 221-243
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• Yi-Feng Tsai, Rida T. Farouki, Bryan Feldman:
  Performance analysis of CNC interpolators for time-dependent feedrates along PH curves. 245-265
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• Erich Hartmann:
  Implicit G_n-blending of vertices. 267-285
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• Marie-Laurence Mazure:
  Quasi-Chebyshev splines with connection matrices: application to variable degree polynomial splines. 287-298
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Volume 18, Number 4, May 2001

• Sanyuan Zhang, Hujun Bao, Baogang Wei:
  Cubic algebraic curves based on geometric constraints. 299-307
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• A. Marco, J. J. Martínez:
  Using polynomial interpolation for implicitizing algebraic curves. 309-319
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• John E. Lavery:
  Shape-preserving, multiscale interpolation by bi- and multivariate cubic L1 splines. 321-343
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• Luiz Velho:
  Quasi 4-8 subdivision. 345-357
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• Robert Schneider, Leif Kobbelt:
  Geometric fairing of irregular meshes for free-form surface design. 359-379
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Volume 18, Number 5, June 2001

• Jos Stam:
  On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree. 383-396
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• Luiz Velho, Denis Zorin:
  4-8 Subdivision. 397-427
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• Denis Zorin, Peter Schröder:
  A unified framework for primal/dual quadrilateral subdivision schemes. 429-454
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• Jörg Peters, Georg Umlauf:
  Computing curvature bounds for bounded curvature subdivision. 455-461
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• Denis Zorin, Peter Schröder:
  A unified framework for primal/dual quadrilateral subdivision schemes. 429-454
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• Nathan Litke, Adi Levin, Peter Schröder:
  Trimming for subdivision surfaces. 463-481
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• Géraldine Morin, Joe D. Warren, Henrik Weimer:
  A subdivision scheme for surfaces of revolution. 483-502
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Volume 18, Number 6, July 2001

• Przemyslaw Kiciak:
  A simple look at polar forms. 503-504
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• Stefan Leopoldseder:
  Algorithms on cone spline surfaces and spatial osculating arc splines. 505-530
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• Wenping Wang, Jiaye Wang, Myung-Soo Kim:
  An algebraic condition for the separation of two ellipsoids. 531-539
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• Deok-Soo Kim, Donguk Kim, Kokichi Sugihara:
  Voronoi diagram of a circle set from Voronoi diagram of a point set: I. Topology. 541-562
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• Deok-Soo Kim, Donguk Kim, Kokichi Sugihara:
  Voronoi diagram of a circle set from Voronoi diagram of a point set: II. Geometry. 563-585
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• Javier Sánchez-Reyes:
  Inversion approximations for functions via s-power series. 587-608
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Volume 18, Number 7, September 2001

• Pierre-Jean Laurent, Paul Sablonnière:
  Pierre Bézier: An engineer, a mathematician. 609-617
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• Geir Westgaard, Horst Nowacki:
  A process for surface fairing in irregular meshes. 619-638
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• Rida T. Farouki, Carla Manni, Alessandra Sestini:
  Real-time CNC interpolators for Bézier conics. 639-655
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• Géraldine Morin, Ronald N. Goldman:
  On the smooth convergence of subdivision and degree elevation for Bézier curves. 657-666
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• Shi-Min Hu:
  Conversion between triangular and rectangular Bézier patches. 667-671
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• Mahendra Kumar Jena, P. Shunmugaraj, P. C. Das:
  A subdivision algorithm for generalized Bernstein-Bézier curves. 673-698
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• Przemyslaw Kiciak:
  Computing normal vector Bézier patches. 699-710
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• Holger Theisel:
  Are isophotes and reflection lines the same? 711-722
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Volume 18, Number 8, October 2001

• Thomas G. Berry, Richard R. Patterson:
  Implicitization and parametrization of nonsingular cubic surfaces. 723-738
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• Manabu Sakai:
  Osculatory interpolation. 739-750
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• Erich Hartmann:
  Gn-continuous connections between normal ringed surfaces. 751-770
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• J. Rafael Sendra, Franz Winkler:
  Tracing index of rational curve parametrizations. 771-795
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• Michael Kallay:
  A geometric Newton-Raphson strategy. 797-803
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• Juan Monterde:
  Singularities of rational Bézier curves. 805-816
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Volume 18, Number 9, November 2001

• Lianghong Xu, Jianhong Shi:
  Geometric Hermite interpolation for space curves. 817-829
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• Tait S. Smith, Rida T. Farouki:
  Gauss map computation for free-form surfaces. 831-850
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• David Lutterkort, Jörg Peters:
  Optimized refinable enclosures of multivariate polynomial pieces. 851-863
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• Anton Gfrerrer, Otto Röschel:
  Blended Hermite interpolants. 865-873
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• Paolo Costantini, Rida T. Farouki, Carla Manni, Alessandra Sestini:
  Computation of optimal composite re-parameterizations. 875-897
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