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Title: US6987511: Linear anisotrophic mesh filtering
[ Derwent Title ]


Country: US United States of America

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47 pages

 
Inventor: Taubin, Gabriel; Hartsdale, NY, United States of America

Assignee: International Business Machines Corporation, Armonk, NY, United States of America
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Published / Filed: 2006-01-17 / 2002-10-17

Application Number: US2002000273807

IPC Code: Advanced: G06T 5/00; G06T 15/00; G06T 17/20;
Core: more...

ECLA Code: G06T5/00D; G06T17/20;

U.S. Class: 345/420; 345/426; 345/611;

Field of Search: 345/419,420,426,581,606,611,616 353/098

Priority Number:
2002-10-17  US2002000273807

Abstract:     The present invention smoothes a spherical graph signal composed of spherical signal points associated with graph vertices of a graph producing a smoothed spherical graph signal composed of smoothed spherical signal points. Each smoothed spherical signal point is computed by multiplying a vertex rotation matrix by the corresponding spherical signal point. The vertex rotation matrix is computed as a weighted average of neighbor rotation matrices using a local parameterization of the group of rotations. The present invention also filters anisotropically a graph signal composed signal points associated with graph vertices of a graph producing a filtered graph signal composed of filtered signal points. Each filtered signal point is computed as a weighted average of signal points corresponding to the corresponding graph vertices and neighbor graph vertices with neighbor weight matrices. The present invention also denoises the vertex positions of a polygon mesh without tangential drift. The face normals are smoothed on the dual graph of the polygon mesh. The smoothed face normals are used to construct neighbor weight matrices on the primal graph of the polygon mesh. The vertex positions are anisotropically filtered on the primal graph of the polygon mesh. The present invention also filters the vertex positions and face normals of a polygon mesh with interpolatory vertex positions and face normal constraints.

Attorney, Agent or Firm: Herzberg, Louis P. ;

Primary / Asst. Examiners: Jankus, Almis R.;

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First Claim:
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    1. A method comprising:

obtaining a first spherical graph signal defined on a graph, the graph including a plurality of graph vertices and a plurality of graph edges, the first spherical graph signal including a plurality of spherical signal points, each spherical signal point being a point in a N-dimensional sphere of a given radius, each spherical signal point corresponding to one of the graph vertices;

applying a spherical graph signal smoothing algorithm to the first spherical graph signal to produce a smoothed spherical graph signal defined on the graph, the smoothed spherical graph signal including a plurality of smoothed spherical signal points, each smoothed spherical signal point being a point in the N-dimensional sphere, each of the smoothed spherical signal points corresponding to one of the graph vertices; and

replacing the first spherical graph signal with the smoothed spherical graph signal.



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Forward References: Show 3 U.S. patent(s) that reference this one

       
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PDF
Patent  Pub.Date  Inventor Assignee   Title
Buy PDF- 38pp US6517211  2003-02 Mihara  Kabushiki Kaisha Toshiba Illumination device for projection-type display and projection-type display apparatus
       
Foreign References: None

Continuity Data:
Application Number Filed Notes

US2002000273807 2002-10-17  is a related to the prior publication
     US20040075659A1 issued 2004-04-22  Linear anisotropic mesh filtering


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