Adaptive, multiresolution representation of a machine part; with exactly resolved features (edges, corners); top: 5% error; middle: 1% error; finest level mesh
CS 175: Topics in Geometric Modeling
 

Resources and Related Materials

The links below may be useful. Some may have been mentioned in class.

Introduction to Polar Forms [postscript]

Blossoming (18 April 2001)

Subdivision Methods for Geometric Design
Updated version available as book: 
Joe Warren, Henrik Weimer
Subdivision Methods for Geometric Design
ISBN 1-55860-446-4

Subdivision for Modeling and Animation

Exact Evaluation of Catmull-Clark Subdivision Surfaces
by Jos Stam

Historic Papers:
Recursivly generated B-spline surfaces on arbitrary topological meshes
E. Catmull and J. Clark
Analysis of the behaviour of recursive division surfaces
D. Doo and M. Sabin

Piecewise-smooth Subdivision Surfaces with Normal Control
Henning Biermann, Adi Levin, Denis Zorin

Papers for suggested projects:
See Adi Levin's website for papers on
  •     tri-quad (bottom most)
  •     combined subdivision (4th paper)
  •     quasi-interpolation (Loop: 7th paper; Catmull-Clark: 8th paper)
For cut ratios there really isn't anything except some old papers of Jorg
Peters. One example is the bottom most paper at
http://www.cise.ufl.edu/research/SurfLab/pre99-papers/jorgs_papers.html.
Note that these are not about subdivision but about surface splines. A very
different beast but one example to see cut ratios. The Pixar paper on
creating semi-sharp creases a different way (still relevant to see the
issues) is http://portal.acm.org/citation.cfm?doid=280814.280826.

The ideas for procedural generation of surfaces are found in
http://w3.impa.br/~lvelho/spd/spd.pdf and papers of Dr. P. (I'll let Ilja
find an example of those).  Przemyslaw Prusinkiewicz, Lindenmayer Systems, Fractals and Plants. http://directory.google.com/Top/Computers/Artificial_Life/Lindenmayer_Systems/?tc=1

In general use http://www.citeseer.com/ to find stuff. Very handy. Also
note that our library has unrestricted access (through their web portal) to
the ACM digitla library which contains everything in Siggraph and ACM TOG
(for example). 
 

Caltech Multi-Res Modelling Group Publications


Copyright © 2000 Eitan Grinspun, Igor Guskov