Title
A hierarchical sampling approach for polygonizing variational implicit surfaces
Abstract
This article discusses an enhanced polygonization algorithm for variational implicit surfaces. The polygonization scheme is a simple hierarchical adaptation of the Marching Cubes algorithm which takes advantage of some properties of variational implicits to produce a proper and efficient sampling of the surface. The technique exploits the fact that variational objects exhibit properties akin to Euclidean distance metrics, thus allowing the polygonizer to quickly ascertain that a given volume does not contain the surface. Timings show that this technique tends to perform faster than Bloomenthal's continuation polygonizer [Bloomenthal J. Graphics Gems IV 1994;324-49].
Year
DOI
Venue
2005
10.1016/j.cag.2005.08.005
Computers & Graphics
Keywords
Field
DocType
Bloomenthal J. Graphics Gems,hierarchical sampling approach,variational implicit surface,polygonization scheme,variational objects exhibit property,enhanced polygonization algorithm,free form modeling,variational implicits,radial basis functions,continuation polygonizer,polygonization,Marching Cubes algorithm,efficient sampling,Euclidean distance metrics
Mathematical optimization,Radial basis function,Computer science,Marching cubes,Algorithm,Hierarchical sampling
Journal
Volume
Issue
ISSN
29
5
Computers & Graphics
Citations 
PageRank 
References 
0
0.34
26
Authors
4
Name
Order
Citations
PageRank
Alvaro Cuno161.51
Claudio Esperança214613.93
Antonio Oliveira362.54
Paulo Roma Cavalcanti47510.18