Technical Report Number
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.
Gatzke, Tim and Grimm, Cindy, "Improved Curvature Estimation on Triangular Meshes" Report Number: WUCSE-2004-9 (2004). All Computer Science and Engineering Research.