Isosurfaces Over Simplicial Partitions of Multiresolution Grids

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Isosurfaces Over Simplicial Partitions of Multiresolution Grids
We provide a simple method that extracts an isosurface that is manifold and intersection-free from a function over an arbitrary octree. Our method samples the function dual to minimal edges, faces, and cells, and we show how to position those samples to reconstruct sharp and thin features of the surface. Moreover, we describe an error metric designed to guide octree expansion such that flat regions of the function are tiled with fewer polygons than curved regions to create an adaptive polygonalization of the isosurface. We then show how to improve the quality of the triangulation by moving dual vertices to the isosurface and provide a topological test that guarantees we maintain the topology of the surface. While we describe our algorithm in terms of extracting surfaces from volumetric functions, we also show that our algorithm extends to generating manifold level sets of co-dimension 1 of functions of arbitrary dimension. Categories and Subject Descriptors (according to ACM CCS): I....
Josiah Manson and Scott Schaefer
Added 11 Mar 2010
Updated 15 Mar 2010
Type Conference
Year 2010
Authors Josiah Manson and Scott Schaefer
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