Isosurfaces Over Simplicial Partitions of Multiresolution Grids

Simple item page
dc.contributor.authorManson, Josiahen_US
dc.contributor.authorSchaefer, Scotten_US
dc.date.accessioned2015-02-23T16:40:34Z
dc.date.available2015-02-23T16:40:34Z
dc.date.issued2010en_US
dc.description.abstractWe 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.en_US
dc.description.number2en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume29en_US
dc.identifier.doi10.1111/j.1467-8659.2009.01607.xen_US
dc.identifier.issn1467-8659en_US
dc.identifier.pages377-385en_US
dc.identifier.urihttps://doi.org/10.1111/j.1467-8659.2009.01607.xen_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltden_US
dc.titleIsosurfaces Over Simplicial Partitions of Multiresolution Gridsen_US
Files
Collections
29-Issue 2
Full Papers 2010 - CGF 29-Issue 2