Computer Aided Geometric Design, Volume 26 (original) (raw)



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Volume 26, Number 1, January 2009

John E. Lavery:
Shape-preserving univariate cubic and higher-degree L1 splines with function-value-based and multistep minimization principles. 1-16

Hwan Pyo Moon:
Equivolumetric offset surfaces. 17-36

Helmut Pottmann, Johannes Wallner, Qi-Xing Huang, Yong-Liang Yang:
Integral invariants for robust geometry processing. 37-60

Christian Schulz:
Bézier clipping is quadratically convergent. 61-74

Scott Schaefer, Ron Goldman:
Non-uniform subdivision for B-splines of arbitrary degree. 75-81

Rijing Pan, Bin Weng:
Recursive representation and application of transformation matrices of B-spline bases. 82-93

Thomas J. Cashman, Neil A. Dodgson
, Malcolm A. Sabin:
A symmetric, non-uniform, refine and smooth subdivision algorithm for general degree B-splines. 94-104

Kestutis Karciauskas, Jörg Peters
:
Guided spline surfaces. 105-116

Christopher Dyken, Michael S. Floater:
Transfinite mean value interpolation. 117-134
Volume 26, Number 2, February 2009

Hwan Pyo Moon:
Equivolumetric tubular solids for volume-preserving bend of cylinders. 137-151

P. Centella, Juan Monterde
, E. Moreno, R. Oset:
Two C1-methods to generate Bézier surfaces from the boundary. 152-173

Hendrik Speleers
, Paul Dierckx, Stefan Vandewalle
:
Quasi-hierarchical Powell-Sabin B-splines. 174-191

Simon Flöry
:
Fitting curves and surfaces to point clouds in the presence of obstacles. 192-202

Tom Lyche, Knut Mørken, Francesca Pelosi:
Stable, linear spline wavelets on nonuniform knots with vanishing moments. 203-216

Ning Song, Ron Goldman:
mu-bases for polynomial systems in one variable. 217-230

Ron Goldman, Etienne Vouga, Scott Schaefer:
On the smoothness of real-valued functions generated by subdivision schemes using nonlinear binary averaging. 231-242

Seok Hur, Min-jae Oh
, Tae-wan Kim:
Classification and resolution of critical cases in Grandine and Klein's topology determination using a perturbation method. 243-258
Volume 26, Number 3, March 2009

Lian Zhou, Guo-Jin Wang:
Constrained multi-degree reduction of Bézier surfaces using Jacobi polynomials. 259-270

Juan Monterde
:
Salkowski curves revisited: A family of curves with constant curvature and non-constant torsion. 271-278

Nira Dyn, Michael S. Floater, Kai Hormann
:
Four-point curve subdivision based on iterated chordal and centripetal parameterizations. 279-286

Xiaohong Jia, Falai Chen, Jiansong Deng
:
Computing self-intersection curves of rational ruled surfaces. 287-299

Haohao Wang, Xiaohong Jia, Ron Goldman:
Axial moving planes and singularities of rational space curves. 300-316

Changhe Tu, Wenping Wang, Bernard Mourrain, Jiaye Wang:
Using signature sequences to classify intersection curves of two quadrics. 317-335

Renjiang Zhang, Weiyin Ma
:
A simple and efficient approximation of a Bézier piece by its cutdown polygon. 336-341

Wei Lü:
Curves with chord length parameterization. 342-350

Knut Mørken, Martin Reimers, Christian Schulz:
Computing intersections of planar spline curves using knot insertion. 351-366
Volume 26, Number 4, May 2009
Special Issue: Geometric Modeling and Processing 2008

Falai Chen, Bert Jüttler
:
Geometric Modeling and Processing. 367

Eng-Wee Chionh:
Shifting planes always implicitize a surface of revolution. 369-377

Guoliang Xu:
Mixed finite element methods for geometric modeling using general fourth order geometric flows. 378-395

E. I. Karousos, Alexandros I. Ginnis, Panagiotis D. Kaklis:
Controlling torsion sign. 396-411

André Lieutier, Boris Thibert:
Convergence of geodesics on triangulations. 412-424
Regular papers

Georg Nawratil
, Helmut Pottmann, Bahram Ravani
:
Generalized penetration depth computation based on kinematical geometry. 425-443

Lixin Cao, Zhenyuan Jia, Jian Liu:
Computation of medial axis and offset curves of curved boundaries in planar domains based on the Cesaro's approach. 444-454

Osmar Aléssio
:
Differential geometry of intersection curves in R4 of three implicit surfaces. 455-471

Thomas J. Cashman, Neil A. Dodgson
, Malcolm A. Sabin:
Selective knot insertion for symmetric, non-uniform refine and smooth B-spline subdivision. 472-479

Rijing Pan, Zhiqiang Yao:
Biorthogonal nonuniform B-spline wavelets based on a discrete norm. 480-492
Volume 26, Number 5, June 2009

Dieter Roller, Bernadetta Kwintiana Ane:
Geometric constraint modelling: Boundary planar B-spline curves and control polyhedra for 5-axes response surface graph. 493-509

Duo Wang, Bryan Clark, Xiangmin Jiao
:
An analysis and comparison of parameterization-based computation of differential quantities for discrete surfaces. 510-527

Ágoston Róth, Imre Juhász
, Josef Schicho, Miklós Hoffmann
:
A cyclic basis for closed curve and surface modeling. 528-546

Ligang Liu, Lei Zhang, Binbin Lin, Guojin Wang:
Fast approach for computing roots of polynomials using cubic clipping. 547-559

Zhijie Cai:
Convexity preservation of the interpolating four-point C2 ternary stationary subdivision scheme. 560-565

Pawel Wozny
, Stanislaw Lewanowicz:
Multi-degree reduction of Bézier curves with constraints, using dual Bernstein basis polynomials. 566-579

Rida T. Farouki, Carlotta Giannelli
, Carla Manni
, Alessandra Sestini:
Quintic space curves with rational rotation-minimizing frames. 580-592

Xiao-Ming Liu, Lei Yang
, Jun-Hai Yong, He-Jin Gu, Jia-Guang Sun:
A torus patch approximation approach for point projection on surfaces. 593-598

Rida T. Farouki, Nicolas Szafran, Luc Biard:
Existence conditions for Coons patches interpolating geodesic boundary curves. 599-614
Volume 26, Number 6, August 2009

Bruno Lévy, Dinesh Manocha
, Hong Qin, Hiromasa Suzuki:
Preface. 615-616

Jin Huang, Lu Chen, Xinguo Liu, Hujun Bao:
Efficient mesh deformation using tetrahedron control mesh. 617-626

Eric Berberich, Michael Sagraloff:
A generic and flexible framework for the geometrical and topological analysis of (algebraic) surfaces. 627-647

Tobias Martin, Elaine Cohen, Robert Michael Kirby
:
Volumetric parameterization and trivariate B-spline fitting using harmonic functions. 648-664

Yu-Kun Lai, Shi-Min Hu, Ralph R. Martin, Paul L. Rosin:
Rapid and effective segmentation of 3D models using random walks. 665-679

Johannes Mezger, Bernhard Thomaszewski
, Simon Pabst, Wolfgang Straßer:
Interactive physically-based shape editing. 680-694

Iddo Hanniel, Gershon Elber:
Computing the Voronoi cells of planes, spheres and cylinders in R2. 695-710

Yan Fu, Bingfeng Zhou:
Direct sampling on surfaces for high quality remeshing. 711-723
Volume 26, Number 7, October 2009

Isabelle Cattiaux-Huillard, Gudrun Albrecht
, Victoria Hernández-Mederos:
Optimal parameterization of rational quadratic curves. 725-732

Tim N. T. Goodman, Dereck S. Meek, Desmond J. Walton:
An involute spiral that matches G2 Hermite data in the plane. 733-756

Nicolás Botbol, Alicia Dickenstein
, Marc Dohm:
Matrix representations for toric parametrizations. 757-771

Ilijas Selimovic:
On NURBS algorithms using tangent cones. 772-778

Jesús M. Carnicer, Tim N. T. Goodman, Juan Manuel Peña
:
Convexity preserving scattered data interpolation using Powell-Sabin elements. 779-796

Charles K. Chui, Qingtang Jiang
:
Matrix-valued 4-point spline and 3-point non-spline interpolatory curve subdivision schemes. 797-809

Sunita Daniel, P. Shunmugaraj:
An approximating C2 non-stationary subdivision scheme. 810-821
Volume 26, Number 8, November 2009

Markus Rhein, Thomas Kalbe:
Quasi-interpolation by quadratic C1-splines on truncated octahedral partitions. 825-841

Irene Polo-Blanco
, Jaap Top:
A remark on parameterizing nonsingular cubic surfaces. 842-849

Marco Attene, Daniela Giorgi
, Massimo Ferri
, Bianca Falcidieno:
On converting sets of tetrahedra to combinatorial and PL manifolds. 850-864

Javier Sánchez-Reyes
:
Complex rational Bézier curves. 865-876

H. E. Bez:
Invariant-geometry conditions for the rational bi-quadratic Bézier surfaces. 877-887

Voon Pang Kong
, B. H. Ong:
Shape preserving approximation by spatial cubic splines. 888-903

Qingtang Jiang
, Baobin Li, Weiwei Zhu:
Interpolatory quad/triangle subdivision schemes for surface design. 904-922
Volume 26, Number 9, December 2009

Xiaopeng Zhang, WuJun Che, Jean-Claude Paul:
Computing lines of curvature for implicit surfaces. 923-940

Laureano González-Vega
, Ignacio F. Rúa
:
Solving the implicitization, inversion and reparametrization problems for rational curves through subresultants. 941-961

Kestutis Karciauskas, Jörg Peters
:
Adjustable speed surface subdivision. 962-969

Xiaohong Jia, Ron Goldman:
µ-Bases and singularities of rational planar curves. 970-988

Javier Sánchez-Reyes
:
Periodic Bézier curves. 989-1005

Guozhao Wang, Lincong Fang:
On control polygons of quartic Pythagorean-hodograph curves. 1006-1015

Marie-Laurence Mazure:
Dimension elevation formula for Chebyshevian blossoms. 1016-1027

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