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
ACM SIGGRAPH 2003 Papers
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Fair morse functions for extracting the topological structure of a surface mesh
ACM SIGGRAPH 2004 Papers
ACM SIGGRAPH 2005 Papers
Salient geometric features for partial shape matching and similarity
ACM Transactions on Graphics (TOG)
Towards Stable and Salient Multi-View Representation of 3D Shapes
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
SMI '06 Proceedings of the IEEE International Conference on Shape Modeling and Applications 2006
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
Computer Aided Geometric Design - Special issue: Applications of geometric modeling in the life sciences
A topological hierarchy for functions on triangulated surfaces
IEEE Transactions on Visualization and Computer Graphics
Technical Section: Computing smooth approximations of scalar functions with constraints
Computers and Graphics
Topology- and error-driven extension of scalar functions from surfaces to volumes
ACM Transactions on Graphics (TOG)
Saliency Regions for 3D Mesh Abstraction
PCM '09 Proceedings of the 10th Pacific Rim Conference on Multimedia: Advances in Multimedia Information Processing
Spectral-Driven Isometry-Invariant Matching of 3D Shapes
International Journal of Computer Vision
Saliency for animated meshes with material properties
Proceedings of the 7th Symposium on Applied Perception in Graphics and Visualization
Evaluation of 3D interest point detection techniques
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
3D dental biometrics: Alignment and matching of dental casts for human identification
Computers in Industry
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A novel method for extracting the salient critical points of meshes, possibly with noise, is presented by combining mesh saliency with Morse theory. In this paper, we use the idea of mesh saliency as a measure of regional importance for meshes. The proposed method defines the salient critical points in a scalar function space using a center-surround filter operator on Gaussian-weighted average of the scalar of vertices. Compared to using a purely geometric measure of shape, such as curvature, our method yields more satisfactory results with the lower number of critical points. We demonstrate the effectiveness of this approach by comparing our results with the results of the conventional approaches in a number of examples. Furthermore, this work has a variety of potential applications. We give a direct application to the hierarchical topological representation for meshes by combining the salient critical points with the Morse-Smale complex.