A unified framework for primal/dual quadrilateral subdivision schemes

[1]  M. Sabin,et al.  Behaviour of recursive division surfaces near extraordinary points , 1978 .

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

[3]  Tom Lyche,et al.  Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics , 1980 .

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

[5]  Hanan Samet,et al.  The Design and Analysis of Spatial Data Structures , 1989 .

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

[7]  Ruibin Qu Recursive subdivision algorithms for curve and surface design (subdivision algorithms) , 1990 .

[8]  C. Micchelli,et al.  Stationary Subdivision , 1991 .

[9]  Ulrich Reif,et al.  A unified approach to subdivision algorithms near extraordinary vertices , 1995, Comput. Aided Geom. Des..

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

[11]  Peter Schröder,et al.  Interpolating Subdivision for meshes with arbitrary topology , 1996, SIGGRAPH.

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

[13]  Hartmut Prautzsch,et al.  Smoothness of subdivision surfaces at extraordinary points , 1998, Adv. Comput. Math..

[14]  Denis Z orin Smoothness of Stationary Subdivision on Irregular Meshes , 1998 .

[15]  Ayman Habib,et al.  Edge and vertex insertion for a class of C1 subdivision surfaces , 1999, Comput. Aided Geom. Des..

[16]  Kunio Kondo,et al.  Adaptive Refinements in Subdivision Surfaces? , 1999, Eurographics.

[17]  Denis Zorin,et al.  A Method for Analysis of C1 -Continuity of Subdivision Surfaces , 2000, SIAM J. Numer. Anal..

[18]  M. Ortiz,et al.  Subdivision surfaces: a new paradigm for thin‐shell finite‐element analysis , 2000 .

[19]  Luiz Velho,et al.  Using Semi-Regular 4–8 Meshes for Subdivision Surfaces , 2000, J. Graphics, GPU, & Game Tools.

[20]  Henning Biermann,et al.  Piecewise smooth subdivision surfaces with normal control , 2000, SIGGRAPH.

[21]  J. Stam On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree , 2001 .

[22]  D. Zorin,et al.  4-8 Subdivision , 2001 .