Computer graphics processing and selective visual display system – Computer graphics processing – Three-dimension
Reexamination Certificate
2007-07-03
2007-07-03
Zimmerman, Mark (Department: 2628)
Computer graphics processing and selective visual display system
Computer graphics processing
Three-dimension
C345S581000
Reexamination Certificate
active
10835285
ABSTRACT:
A system or method to distribute curvature in a set of target vertices by computing curvature at boundary vertices of the set of target vertices by use of an umbrella operator. The boundary curvatures may be distributed into the set of target vertices by solving for a system of Umbrella operator equations for curvatures of respective vertices of the set of target vertices, with the computed curvature at the boundary vertices as a boundary condition for the system of equations. The vertices of the set of target vertices may be repositioned relative to the their neighbors according to the solved curvatures of the respective vertices of the set of vertices. The computing, distributing, and repositioning may be repeated, thereby changing the overall shape of the set of target vertices according to the curvature at the boundary vertices.
REFERENCES:
patent: 6693631 (2004-02-01), Hubeli et al.
Hubeli, “Fairing Of Non-Manifolds For Visualization”, Oct. 2000, p. 407-414.
Robert Schneider et al., “Geometric Fairing of Irregular Meshes using Mesh Hierarchies”, Max-Planck Institute for Computer Science, Saarbrucken, Germany pp. 1-4.
Robert Schneider et al., “Geometric Fairing of Irregular Meshes for Free-Form Surface Design”, Max-Planck Institute for Computer Sciences, Saarabrucken, Germany, May 2001.
Mathieu Desbrun et al., “Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow”.
Andreas Hubeli et al., “Fairing of Non-Manifold Models”, Computer Science Dept, ETH Zurich, CS Technical Report #337, Mar. 2000.
Leif Kobbelt et al., “Interactive Multi-Resolution Modeling on Arbitrary Meshes”, University of Erlangen-N{umlaut over ())}{umlaut over (})}urnberg.
Peter Liepa, “Filling Holes in Meshes”, Eurographics Symposium on Geometry Processing, 2003.
Autodesk, Inc.
Staas & Halsey , LLP
Xu Kevin
Zimmerman Mark
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