Title
Fast polygonization of variational implicit surfaces
Abstract
This article presents a simple hierarchical adaptation of the marching cubes algorithm for polygonizing variational implicit surfaces used in modelling and reconstruction applications. The technique relies on placing the normal and boundary constraint points respecting pseudo-Euclidean distance metrics. This procedure makes it possible to quickly prune the space and minimize the number of costly function evaluations and thus converge rapidly to the surface. Timings show that this technique tends to perform faster than Bloomenthal's (1994) continuation polygonizer.
Year
DOI
Venue
2004
10.1109/SIBGRA.2004.1352969
SIBGRAPI
Keywords
Field
DocType
computational geometry,data visualisation,image reconstruction,image sampling,boundary constraint points,convergence,fast polygonization,function evaluations,hierarchical adaptation,marching cubes algorithm,modelling,pseudo-Euclidean distance metrics,reconstruction,space pruning,variational implicit surfaces
Iterative reconstruction,Mathematical optimization,Data visualization,Marching cubes,Continuation,Computational geometry,Marching tetrahedra,Algorithm,Polygonizer,Mathematics,Image sampling
Conference
ISSN
ISBN
Citations 
1530-1834
0-7695-2227-0
1
PageRank 
References 
Authors
0.34
19
4
Name
Order
Citations
PageRank
Alvaro Cuno161.51
Claudio Esperança2134.79
Antonio Oliveira362.54
Paulo Roma Cavalcanti47510.18