Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
A variational level set approach to multiphase motion
Journal of Computational Physics
International Journal of Computer Vision
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
IEEE Transactions on Image Processing
Segmentation of triangular meshes using multi-scale normal variation
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part I
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In this paper, we present a novel algorithm that extracts feature curves from triangular mesh domains. It is an extension of the level-set formulation of active contour model in image space to triangular mesh domains. We assume that meshes handled by our method are smooth overall, and feature curves of meshes are thin regions rather than mathematical curves such as found in mechanical parts. We use a simple and robust scheme that assigns feature weights to the vertices of a mesh. We define the energy functional of the active contour over the domain of triangular mesh and derive a level-set evolution equation that finds feature regions. The feature regions are skeletonized and smoothed to form a set of smooth feature curves on the mesh.