Computer graphics processing and selective visual display system – Computer graphics processing – Three-dimension
Reexamination Certificate
2007-01-30
2007-01-30
Zimmerman, Mark (Department: 2628)
Computer graphics processing and selective visual display system
Computer graphics processing
Three-dimension
C345S442000
Reexamination Certificate
active
11063880
ABSTRACT:
A method for converting a subdivision surface, such as a Catmull-Clark subdivision surface, into a cubic Bezier surface defined by sixteen control points. The method includes (a) converting a subdivision face to Bezier control points using a conversion matrix using fifteen points and a dummy value for an unavailable sixteenth point; and (b) replacing one of the Bezier control points which corresponds to an extraordinary point on the subdivision face with the extraordinary point's limit point.
REFERENCES:
patent: 5999188 (1999-12-01), Kumar et al.
patent: 6208360 (2001-03-01), Doi et al.
patent: 6389154 (2002-05-01), Stam
patent: 6476804 (2002-11-01), Costabel
patent: 6801654 (2004-10-01), Nakamura et al.
patent: 6856312 (2005-02-01), Imai et al.
patent: 6950099 (2005-09-01), Stollnitz et al.
patent: 2002/0036639 (2002-03-01), Bourges-Sevenier
patent: 2003/0034971 (2003-02-01), Fujiwara et al.
Article “Subdivison Surface Theory” by Brian Sharp, Gamasutra, Apr. 11, 2000, pp. 1-13, URL: http://www.gamasutra.com/features/20000411/sharp—01.htm.
Article “C2 subdivision over triangulations with one extraordinary point” by Avi Zulti, Adi Levin, David Levin and Mina Teicher, Department of Mathematics and Statistics, Bar-Ilan University, Ramat-Gan 52900, Israel, Jun. 5, 2005.
Article “A novel FEM-based dynamic framework for subdivision surfaces” by C Mandal, H Qin, BC Vemuri, Symposium on Solid Modeling and Applications, 1999, pp. 191-201.
U.S. Appl. No. 10/185,750, filed Jul. 1, 2002, Stollnitz et al., Alias Systems Corp.
Bartels, et al. “An Introduction to Splines For Use In Computer Graphics and Geometric Modeling.” 1987. pp. 243-245.
E. Catmull, et al. “Recursively Generated B-Spline Surfaces on Arbitrary Topological Meshes.” 1978. pp. 350-355.
Jos Stam. “Exact Evaluation of Catmull-Clark Subdivision Surfaces At Arbitrary Parameter Values.” Alias/Wavefront, Inc.
Rice Richard Everett
Stollnitz Eric Joel
Autodesk, Inc.
Santiago Enrique L.
Staas & Halsey , LLP
Zimmerman Mark
LandOfFree
Approximation of Catmull-Clark subdivision surfaces by... does not yet have a rating. At this time, there are no reviews or comments for this patent.
If you have personal experience with Approximation of Catmull-Clark subdivision surfaces by..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Approximation of Catmull-Clark subdivision surfaces by... will most certainly appreciate the feedback.
Profile ID: LFUS-PAI-O-3737247