Polygonizing Extremal Surfaces with Manifold Guarantees
Published in Proceedings of the 14th ACM Symposium on Solid and Physical Modeling, 2010
Moving least squares surfaces for surfaces with boundaries, Extremal surfaces are a class of implicit surfaces that have been found useful in a variety of geometry reconstruction applications. Compared to iso-surfaces, extremal surfaces are particularly challenging to construct in part due to the presence of boundaries and the lack of a consistent orientation. We present a novel, grid-based algorithm for constructing polygonal approximations of extremal surfaces that may be open or unorientable. The algorithm is simple to implement and applicable to both uniform and adaptive grid structures. More importantly, the resulting discrete surface preserves the structural property of the extremal surface in a grid-independent manner. The algorithm is applied to extract ridge surfaces from intensity volumes and reconstruct surfaces from point sets with unoriented normals. Implicit surface, moving least squares, reconstruction from point sets
authors: Ruosi Li and Liu Lu and Sasakthi Abeysinghe and Ly Phan and Cindy Grimm and Tao Ju
Authors: Ruosi Li and Liu Lu and Sasakthi Abeysinghe and Ly Phan and Cindy Grimm and Tao Ju
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