A generative classification of mesh refinement rules with lattice transformations

[1]  Neil A. Dodgson,et al.  An Heuristic Analysis of the Classification of Bivariate Subdivision Schemes , 2005, IMA Conference on the Mathematics of Surfaces.

[2]  Neil A. Dodgson,et al.  On the support of recursive subdivision , 2004, ACM Trans. Graph..

[3]  Luiz Velho,et al.  Stellar Subdivision Grammars , 2003, Symposium on Geometry Processing.

[4]  Peter Schröder,et al.  Composite primal/dual -subdivision schemes , 2003, Comput. Aided Geom. Des..

[5]  L. Schumaker,et al.  Characteristics of dual-sqrt(3) subdivision schemes , 2003 .

[6]  Neil A. Dodgson,et al.  On the Geometry of Recursive Subdivision , 2002, Int. J. Shape Model..

[7]  M. Sabin,et al.  Recursive subdivision and hypergeometric functions , 2002, Proceedings SMI. Shape Modeling International 2002.

[8]  J. Claes,et al.  A corner-cutting scheme for hexagonal subdivision surfaces , 2002, Proceedings SMI. Shape Modeling International 2002.

[9]  Marc Alexa,et al.  Refinement operators for triangle meshes , 2002, Comput. Aided Geom. Des..

[10]  Charles T. Loop Smooth Ternary Subdivision of Triangle Meshes , 2002 .

[11]  M. F. Hassan,et al.  Towards a ternary interpolating subdivision scheme for the triangular mesh , 2002 .

[12]  Peter Schröder,et al.  A unified framework for primal/dual quadrilateral subdivision schemes , 2001, Comput. Aided Geom. Des..

[13]  Luiz Velho,et al.  4-8 Subdivision , 2001, Comput. Aided Geom. Des..

[14]  George Drettakis,et al.  Interactive Sampling and Rendering for Complex and Procedural Geometry , 2001, Rendering Techniques.

[15]  Zhang Sanyuan,et al.  Cubic algebraic curves based on geometric constraints , 2001 .

[16]  Luiz Velho,et al.  Quasi 4-8 subdivision , 2001, Comput. Aided Geom. Des..

[17]  Ulf Labsik,et al.  Interpolatory √3‐Subdivision , 2000 .

[18]  Larry L. Schumaker,et al.  Curve and Surface Fitting: Saint-Malo 1999 , 2000 .

[19]  P. Hansen,et al.  Discrete Mathematical Chemistry , 2000 .

[20]  Malcolm A. Sabin,et al.  Behaviour of recursive division surfaces near extraordinary points , 1998 .

[21]  Patrick W. Fowler,et al.  (3-6)-cages, Hexagonal Toroidal Cages, and Their Spectra , 1998, Discrete Mathematical Chemistry.

[22]  Jörg Peters,et al.  The simplest subdivision scheme for smoothing polyhedra , 1997, TOGS.

[23]  Leif Kobbelt,et al.  Interpolatory Subdivision on Open Quadrilateral Nets with Arbitrary Topology , 1996, Comput. Graph. Forum.

[24]  M. Senechal Quasicrystals and geometry , 1995 .

[25]  I. Sloan Lattice Methods for Multiple Integration , 1994 .

[26]  Nira Dyn,et al.  Interpolatory convexity-preserving subdivision schemes for curves and surfaces , 1992, Comput. Aided Des..

[27]  N. Dyn,et al.  A butterfly subdivision scheme for surface interpolation with tension control , 1990, TOGS.

[28]  Gilles Deslauriers,et al.  Symmetric iterative interpolation processes , 1989 .

[29]  J. N. Lyness,et al.  The representation of lattice quadrature rules as multiple sums , 1989 .

[30]  Charles T. Loop,et al.  Smooth Subdivision Surfaces Based on Triangles , 1987 .

[31]  E. Catmull,et al.  Recursively generated B-spline surfaces on arbitrary topological meshes , 1978 .