Method, system, and program product for re-meshing of a...

Computer graphics processing and selective visual display system – Computer graphics processing – Three-dimension

Reexamination Certificate

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C345S419000, C345S423000

Reexamination Certificate

active

07443393

ABSTRACT:
A method, system and program product for re-meshing of a three-dimensional (3D)input model using progressive implicit approximating levels are provided. Specifically, an initial quadrilateral mesh for a 3D input model is provided. Then, an implicit approximating field is built for a first approximating level (L) of the 3D input model using an implicit surface modeling technique. An iso-contour of the implicit approximating field is then extracted, and the quadrilateral mesh is fit to the first approximating level (L). The fit between the quadrilateral mesh and the first approximating level (L) is then estimated, and it is determined whether the fit meets a predetermined quality criterion. If not, the quadrilateral mesh is refined using one or more of a sequence of topological operations are performed to improve the fit. The process is then iteratively repeated for subsequent approximation levels until one of the subsequent approximation levels is fit to the 3D input model.

REFERENCES:
patent: 2004/0075659 (2004-04-01), Taubin
Shen et al., “Interpolating and Approximating Implicit Surfaces from Polygon Soup”, 2004, ACM, pp. 204-212.
Yamakawa et al., “Triangular/Quadrilateral Remeshing of an Arbitrary Polygonal Surface Via Packing Bubbles”, Proceedings of Geometric Modeling and Processing Apr. 13-15, 2004, pp. 153-162.
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Duan et al., “A Subdivision-Based Deformable Model for Surface Reconstruction of Unknown Topology”, Graphical Models, vol. 66, No. 4, Jul. 2004, pp. 181-202.
Duan et al., A Novel Modeling Algorithm for Shape Recovery of Unknown Topology, Part 1, vol. 1, pp. 402-409, Eighth IEEE International Conference on Computer Vision (ICCV) Jul. 7-14, 2001.

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