SGP05: Eurographics Symposium on Geometry Processing
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Browsing SGP05: Eurographics Symposium on Geometry Processing by Subject "Categories and Subject Descriptors (according to ACM CCS): I.3.3 [Computer Graphics]: Line and Curve Generation"
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Item An Adaptive MLS Surface for Reconstruction with Guarantees(The Eurographics Association, 2005) Dey, Tamal K.; Sun, Jian; Mathieu Desbrun and Helmut PottmannRecent work have shown that moving least squares (MLS) surfaces can be used effectively to reconstruct surfaces from possibly noisy point cloud data. Several variants of MLS surfaces have been suggested, some of which have been analyzed theoretically for guarantees. These analyses, so far, have assumed uniform sampling density. We propose a new variant of the MLS surface that, for the first time, incorporates local feature sizes in its formulation, and we analyze it for reconstruction guarantees using a non-uniform sampling density. The proposed variant of the MLS surface has several computational advantages over existing MLS methods.Item Non-conforming Surface Rrepresentations(The Eurographics Association, 2005) Alexa, Marc; Mathieu Desbrun and Helmut PottmannSurface geometry is commonly represented by a collection of primitives. Conforming representations consist of primitives meeting at their boundaries (e.g., in a triangle mesh two triangles are incident upon an edge). Without the restriction to conforming elements there are no dependencies among primitives, leading to more degrees of freedom for each primitive. This yields more efficient and flexible algorithms for reconstruction, processing, and rendering, as well as compact and accurate representations.