Systems and methods for optimizing geometric stretch of a...

Computer graphics processing and selective visual display system – Computer graphics processing – Adjusting level of detail

Reexamination Certificate

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Reexamination Certificate

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10981228

ABSTRACT:
Systems and methods are provided for optimizing the geometric stretch of a parametrization scheme. Given an arbitrary mesh, the systems and methods construct a progressive mesh (PM) such that all meshes in the PM sequence share a common texture parametrization. The systems and methods minimize geometric stretch, i.e., small texture distances mapped onto large surface distances, to balance sampling rates over all locations and directions on the surface. The systems and methods also minimize texture deviation, i.e., “slippage” error based on parametric correspondence, to obtain accurate textured mesh approximations. The technique(s) begin by partitioning the mesh into charts using planarity and compactness heuristics. Then, the technique(s) proceed by creating a stretch-minimizing parametrization within each chart, and by resizing the charts based on the resulting stretch. Then, the technique(s) simplify the mesh while respecting the chart boundaries. Next, the parametrization is re-optimized to reduce both stretch and deviation over the whole PM sequence. The charts may then be packed into a texture atlas for improved texture mapping in connection with a parametrization scheme.

REFERENCES:
patent: 5963209 (1999-10-01), Hoppe
patent: 5966133 (1999-10-01), Hoppe
patent: 6046744 (2000-04-01), Hoppe
patent: 6285372 (2001-09-01), Cowsar et al.
patent: 6362820 (2002-03-01), Hoppe
patent: 6426750 (2002-07-01), Hoppe
patent: 6614428 (2003-09-01), Lengyel

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