Title

Improved Curvature Estimation on Triangular Meshes

Authors

Tim Gatzke, Washington University in St. Louis
Cindy Grimm, Washington University in St. Louis

Document Type

Technical Report

Publication Date

2004-09-01

Filename

wucse-2004-9.pdf

DOI:

10.7936/K7PV6HQZ

Technical Report Number

WUCSE-2004-9

Abstract

This paper takes a systematic look at calculating the curvature of surfaces represented by triangular meshes. We have developed a suite of test cases for assessing the sensitivity of curvature calculations, to noise, mesh resolution, and mesh regularity. These tests are applied to existing discrete curvature approximation techniques and three common surface fitting methods (polynomials, radial basis functions and conics). We also introducea modification to the standard parameterization technique. Finally, we examine the behaviour of the curvature calculation techniques in the context of segmentation.

Comments

Permanent URL: http://dx.doi.org/10.7936/K7PV6HQZ

Recommended Citation

Gatzke, Tim and Grimm, Cindy, "Improved Curvature Estimation on Triangular Meshes" Report Number: WUCSE-2004-9 (2004). All Computer Science and Engineering Research.
https://openscholarship.wustl.edu/cse_research/1056