Computer Aided Geometric Design, Volume 21

Volume 21, Number 1, January 2004

Thomas W. Sederberg, Jianmin Zheng, Xiaowen Song:
A conjecture on tangent intersections of surface patches. 1-2
Johannes Wallner:
Gliding spline motions and applications. 3-21
E. Chicurel-Uziel:
Single equation without inequalities to represent a composite curve. 23-42
John E. Lavery:
Shape-preserving approximation of multiscale univariate data by cubic L1 spline fits. 43-64
Tim Culver, John Keyser, Dinesh Manocha:
Exact computation of the medial axis of a polyhedron. 65-98
Ioannis P. Ivrissimtzis, Neil A. Dodgson, Malcolm A. Sabin:
A generative classification of mesh refinement rules with lattice transformations. 99-109

Javier Sánchez-Reyes:
Geometric recipes for constructing Bézier conics of given centre or focus. 111-116
Juan Monterde:
Bézier surfaces of minimal area: The Dirichlet approach. 117-136
Robert J. Renka:
Constructing fair curves and surfaces with a Sobolev gradient method. 137-149
Hasik Sunwoo, Namyong Lee:
A unified matrix representation for degree reduction of Bézier curves. 151-164
Donna A. Dietz, Bruce R. Piper:
Interpolation with cubic spirals. 165-180
Young Joon Ahn, Byung-Gook Lee, Yunbeom Park, Jaechil Yoo:
Constrained polynomial degree reduction in the L2-norm equals best weighted Euclidean approximation of Bézier coefficients. 181-191
Guozhao Wang, Qinyu Chen, Minghua Zhou:
NUAT B-spline curves. 193-205
Qinmin Yang, Guozhao Wang:
Inflection points and singularities on C-curves. 207-213

Arpan Biswas, Vadim Shapiro, Igor G. Tsukanov:
Heterogeneous material modeling with distance fields. 215-242
Ronald N. Goldman:
Multisided arrays of control points for multisided Bezier patches. 243-261
Falai Chen, Wu Yang:
Degree reduction of disk Be'zier curves. 263-280
Jun-Hai Yong, Fuhua (Frank) Cheng:
Geometric Hermite curves with minimum strain energy. 281-301
Xiaowen Song, Thomas W. Sederberg, Jianmin Zheng, Rida T. Farouki, Joel Hass:
Linear perturbation methods for topologically consistent representations of free-form surface intersections. 303-319
Xiaowen Song, Thomas W. Sederberg, Jianmin Zheng, Rida T. Farouki, Joel Hass:
Corrigendum to: 'Linear perturbation methods for topologically consistent representations of free-form surface intersections': Computer Aided Geometric Design 21 (2004) 303-319. 321

Hee Cheol Cho, Hyeong In Choi, Song-Hwa Kwon, Doo Seok Lee, Nam-Sook Wee:
Clifford algebra, Lorentzian geometry, and rational parametrization of canal surfaces. 327-339
Costanza Conti, Georg Zimmermann:
Interpolatory rank-1 vector subdivision schemes. 341-351
Angel Plaza, José P. Suárez, Miguel A. Padron, Sergio Falcón, Daniel Amieiro:
Mesh quality improvement and other properties in the four-triangles longest-edge partition. 353-369
Ching-Shoei Chiang, Robert Joan-Arinyo:
Revisiting variable radius circles in constructive geometric constraint solving. 371-399
Falai Chen, Lin Deng:
Interval implicitization of rational curves. 401-415
Kestutis Karciauskas:
Gaussian and mean curvatures of rational maps. 417-419

Ulrich Clarenz, Udo Diewald, G. Dziuk, Martin Rumpf, R. Rusu:
A finite element method for surface restoration with smooth boundary conditions. 427-445
Sheng-Gwo Chen, Jyh-Yang Wu:
Estimating normal vectors and curvatures by centroid weights. 447-458
Rida T. Farouki, Chang Yong Han, Joel Hass, Thomas W. Sederberg:
Topologically consistent trimmed surface approximations based on triangular patches. 459-478
Hyungjun Park:
An error-bounded approximate method for representing planar curves in B-splines. 479-497
Weishi Li, Shuhong Xu, Jianmin Zheng, Gang Zhao:
Target curvature driven fairing algorithm for planar cubic B-spline curves. 499-513
Yulin Wang, Bingyan Zhao, Luzou Zhang, Jiachuan Xu, Kanchang Wang, Shuchun Wang:
Designing fair curves using monotone curvature pieces. 515-527

Xuli Han:
Cubic trigonometric polynomial curves with a shape parameter. 535-548
Lucia Romani, Malcolm A. Sabin:
The conversion matrix between uniform B-spline and Be'zier representations. 549-560
Loïc Barthe, Leif Kobbelt:
Subdivision scheme tuning around extraordinary vertices. 561-583
Jörg Peters, Ulrich Reif:
Shape characterization of subdivision surfaces--basic principles. 585-599
Kestutis Karciauskas, Jörg Peters, Ulrich Reif:
Shape characterization of subdivision surfaces--case studies. 601-614
Jörg Peters, Xiaobin Wu:
SLEVEs for planar spline curves. 615-635

Wendelin L. F. Degen:
Exploiting curvatures to compute the medial axis for domains with smooth boundary. 641-660
Günter Aumann:
Degree elevation and developable Be'zier surfaces. 661-670
Evelyne Vanraes, Joris Windmolders, Adhemar Bultheel, Paul Dierckx:
Automatic construction of control triangles for subdivided Powell-Sabin splines. 671-682
Przemyslaw Kiciak, Ahmed Zidna:
Recursive de Casteljau bisection and rounding errors. 683-695
Juan Monterde, Hassan Ugail:
On harmonic and biharmonic Bézier surfaces. 697-715

Shi-Min Hu, Helmut Pottmann:
Special issue on geometric modeling and processing. 725-726
Ulrich Clarenz, Nathan Litke, Martin Rumpf:
Axioms and variational problems in surface parameterization . 727-749
Gregory M. Nielson, Kun Lee, Liyan Zhang:
Lifting curve parameterization methods to isosurfaces. 751-766
Guoliang Xu:
Discrete Laplace-Beltrami operators and their convergence. 767-784
Martin Peternell:
Developable surface fitting to point clouds. 785-803
Xiao-Shan Gao, Ming Li:
Rational quadratic approximation to real algebraic curves. 805-828

Quoc-Nam Tran:
Efficient Groebner walk conversion for implicitization of geometric objects. 837-857
Hyeong In Choi, Song-Hwa Kwon, Nam-Sook Wee:
Almost rotation-minimizing rational parametrization of canal surfaces. 859-881
Johannes Wallner:
Existence of set-interpolating and energy-minimizing curves. 883-892
Xiquan Shi, Tianjun Wang, Peiru Wu, Fengshan Liu:
Reconstruction of convergent G1 smooth B-spline surfaces. 893-913

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