Surface topology and geometry reconstruction from wire-frame...

Data processing: structural design – modeling – simulation – and em – Modeling by mathematical expression

Reexamination Certificate

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C345S418000

Reexamination Certificate

active

06915243

ABSTRACT:
A method, a system, and a program product for reconstructing surface geometry from discrete points on an object are disclosed. The method comprises steps of; providing input data derived from said discrete points; generating a graph from said input data, said graph including biconnected graphs; subjecting said graph to triconnected component decomposition to generate a component graph; generating all possible embeddings including possible face loops from said surface geometry; filling said possible face loops with possible surface to reconstruct said surface geometry; examining geometrical acceptance of said surfaces and omitting embeddings, including at least one geometrically unacceptable surface from computation thereafter and scoring said embeddings depending on said examination; and sorting said embeddings with respect to said scores to select embeddings for reconstructing said surface geometry.

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patent: 2003/0128209 (2003-07-01), Maekawa et al.
Bagali et al., “A Shortest Path Approach To Wireframe To Solid Model conversion”, ACM Digital Library, 1995.

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