[Farin], Chapter 3, 4.1-4.6,7.1-7.7
Additional reading on splines:
Hans-Peter Seidel, An
introduction to polar forms IEEE Transaction on Computer Graphics,
1, 1993, pp. 38-46
Carl deBoor B-spline basics Fundamental Developments of Computer-Aided Geometric Modeling, Les Piegl (ed.), Academic Press (London) 1993; 27--49;
Lyle Ramshaw Blossoming: A Connect-the-Dots Approach to Splines,SRC Research Report 19, 19987, and Blossoms are polar forms , SRC Report 34, 1989
Stephen Mann, ``Algorithms from Blossoms,'' Research Report CS-96-29, Computer Science Department, University of Waterloo (October 1996).
[Joy] Bezier Curves and Patches , B-Spline Curves and Patches
[Joy] Bezier Curves and Patches
[Farin] Ch. 10
[Joy] B-Spline Curves and Patches
Uniform B-splines. Two-scale relation.
Subdivision as a generalization of splines. Subdivision rules for cubic and quadratic splines.
[Farin] Chapter 16.1-16.4, 17.1, 17.2, 17.10
[Warren] , Chapter 1,2
[Siggraph] Chapter 2.
J. Miller. Sculptured surfaces in solid models: issues and alternative
approaches. IEEE Transactions on Computer Graphics and Applications, 6(12),
pp. 37--48, 1986
A. Rockwood and K. Heaton and T. Davis, Real-time rendering of Trimmed Surfaces, SIGGRAPH `89
G. Chaikin. An algorithm for high-speed curve generation. Computer Graphics and Image Processing, 3, pp. 346-349, 1974
N. Dyn, J. Gregory and D. Levin. A four-point interpolatory subdivision scheme for curve design. Computer-Aided Geometric Design 4, pp. 257-268, 1987
G. Deslauriers, S. Dubuc. Symmetric Iterative Interpolation Processes, CONAP, 5(1), pp. 49-68, 1989
Subdivision rules for tensor product splines. Subdivision rules for triangular
splines. Loop subdivision scheme.
[Siggraph] Chapter 3.
C. Loop. Smooth subdivision surfaces based on triangles. MS thesis. University of Utah, 1987.
E. Catmull and J. Clark. Recursively generated B-spline surfaces on arbitrary topological meshes. Computer-Aided Design 10, 1978, 350-355
D. Doo. A subdivision algorithm for smoothing down irregularly shaped polyhedrons. In Proced. Int'l Conf. Ineractive Techniques in Computer Aided Design (1978), pp. 157-165. Bologna, Italy, IEEE Computer Soc.
D. Doo and M. Sabin. Behaviour of recursive division surfaces near extraordinary points. Computer-Aided Design 10 (Sept. 1978), 356-360
N. Dyn, D. Levin and C. Micchelli. Using parameters to increase smoothness of curves and surfaces generated by subdivision. Computer-Aided Geometric Design 7, pp. 129-140, 1990
U. Reif. A Unified approach to subdivision algorithms near extraordinary points, Computer-Aided Geometric Design 12, pp. 153-174, 1995
H. Hoppe, T. DeRose, T. Duchamp, M. Halstead, H. Jin, J. McDonald, J.
Schweitzer and W. Stuetzle. Piecewise Smooth Surface Reconstruction. SIGGRAPH
95 Conference Proceedings, pp. 173--182
[Siggraph] Chapter 8,10.
T. DeRose, M. Kass, T. Truong. Subdivision Surfaces in Character Animation. SIGGRAPH 98 Conference Proceedings pp. 85--94
Carl Erikson, Polygonal
Simplification: An Overview, Technical Report TR96-016, University
of North Carolina, Chapel Hill, 1996.
Hugues Hoppe, Progressive Meshes, SIGGRAPH 96.
Greg Turk, Re-Tiling Polygonal Surfaces, SIGGRAPH '92 Proceedings.
William J. Schroeder, Jonathan Zarge, and William Lorensen, Decimation of Triangle Meshes, SIGGRAPH 92 Proceedings
J. Rossignac and P. Borrel, Multi-resolution 3D approximations for rendering complex scenes (vertex clustering).
Michael Garland and Paul Heckbert, Surface Simplification Using Quadric Error Metrics, SIGGRAPH '97 Proceedings
Jonathan Cohen et al., Simplification Envelopes, SIGGRAPH '96.
Multiresolution Surface Modeling Course Notes, SIGGRAPH `97.
G. Taubin A Signal Processing Approach to Fair Surface Design IBM Technical Report
G. Taubin, T. Zhang and G. Golub, Optimal Surface Smoothing as Filter Design. Proc. of the Fourth European Conference on Computer Vision, vol.1, pp. 283 - 292, 1996. Also available as an IBM Technical Report
Gabriel Taubin and Jarek Rossignac, Geometry Compression through Topological Surgery, ACM Transactions On Graphics, v. 17, n. 4, p. 84-115, 1998
VRML 2.0 binary format proposal based on this paper
Michael Deering. Geoemtry Compression. SIGGRAPH '95 Proceeedings. pp. 13-19 Java3D geometry compression specs based on this paper
B. Naylor. Tutorial
on BSP trees.
A. Kaufman, D. Cohen and R. Yagel, Volume Graphics, IEEE Computer, Vol. 26, No. 7, July 1993, pp. 51-64.
H. Fuchs, Z. Kedem and B. Naylor, "On Visible Surface Generation by
A Priori Tree Structures" SIGGRAPH '80, pp124-133.
BSP tree FAQ
R. Westermann, T. Ertl, A Multiscale Approach to Integrated Volume Segmentation and Rendering Eurographics 1997, Conference Proceedings
Shenchang Eric Chen and Lance Williams, View Interpolation for Image
Synthesis, SIGGRAPH `93.
Leonard McMillan and Gary Bishop, Plenoptic Modeling: An Image-Based Rendering System, SIGGRAPH `95.
Michael Cohen's Talk for the SIGGRAPH `97 Panel on Image-Based Rendering
Marc Levoy and Pat Hanrahan, Light
Field Rendering, SIGGRAPH '96
Steven J. Gortler, Radek Grzeszczuk, Richard Szeliski, and Michael J. Cohen, The Lumigraph, SIGGRAPH '96
© Denis Zorin, 1998