Unconstrained Isosurface Extraction on Arbitrary Octrees
Michael Kazhdan, Allison Klein, Ketan Dalal, Hugues Hoppe
Eurographics Symposium on Geometry Processing, 2007, pp. 125--133.
Abstract: This paper presents a novel algorithm for generating a watertight level-set from an octree. We show that the level- set can be efficiently extracted regardless of the topology of the octree or the values assigned to the vertices. The key idea behind our approach is the definition of a set of binary edge-trees derived from the octree's topology. We show that the edge-trees can be used define the positions of the isovalue-crossings in a consistent fashion and to resolve inconsistencies that may arise when a single edge has multiple isovalue-crossings. Using the edge-trees, we show that a provably watertight mesh can be extracted from the octree without necessitating the refinement of nodes or modification of their values.
@inproceedings{Kazhdan:2007:UIE,
author = {Michael Kazhdan and Allison Klein and Ketan Dalal and Hugues Hoppe},
title = {Unconstrained Isosurface Extraction on Arbitrary Octrees},
booktitle = {Eurographics Symposium on Geometry Processing},
pages = {125--133},
year = {2007},
}
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