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Curvature-Dependent Triangulation of Implicit Surfaces
March/April 2001 (vol. 21 no. 2)
pp. 60-69
ASCII Text
x 
 
Tasso Karkanis, A. James Stewart, "Curvature-Dependent Triangulation of Implicit Surfaces," IEEE Computer Graphics and Applications, vol. 21, no. 2, pp. 60-69, March/April, 2001.
 
 
BibTex
x
 
@article{ 10.1109/38.909016,
author = {Tasso Karkanis and A. James Stewart},
title = {Curvature-Dependent Triangulation of Implicit Surfaces},
journal ={IEEE Computer Graphics and Applications},
volume = {21},
number = {2},
issn = {0272-1716},
year = {2001},
pages = {60-69},
doi = {http://doi.ieeecomputersociety.org/10.1109/38.909016},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - MGZN
JO - IEEE Computer Graphics and Applications
TI - Curvature-Dependent Triangulation of Implicit Surfaces
IS - 2
SN - 0272-1716
SP60
EP69
EPD - 60-69
A1 - Tasso Karkanis,
A1 - A. James Stewart,
PY - 2001
KW - Implicit surface
KW - adaptive triangulation
VL - 21
JA - IEEE Computer Graphics and Applications
ER -
 
This article describes an algorithm to generate a triangulation of an implicit surface. The generated triangles are close to equilateral and the triangle edge lengths vary with local surface curvature (the user may choose the ratio of edge length to surface curvature). The output of this algorithm is useful for applications that require high-quality triangulations, such as medical imaging, molecular modeling, computer aided design, and finite element analysis. Triangles are "grown" on the surface outward from a seed triangle. After the growing stops, the remaining gap in the triangulation is filled by a set of heuristics. Experiments show that the algorithm consistently builds high-quality triangulations, which compare favorably to those produced by cell-based and particle-based algorithms.

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Index Terms:
Implicit surface, adaptive triangulation
Citation:
Tasso Karkanis, A. James Stewart, "Curvature-Dependent Triangulation of Implicit Surfaces," IEEE Computer Graphics and Applications, vol. 21, no. 2, pp. 60-69, March-April 2001, doi:10.1109/38.909016
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