Topology matching for fully automatic similarity estimation of 3D shapes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Partitioning 3D Surface Meshes Using Watershed Segmentation
IEEE Transactions on Visualization and Computer Graphics
Hierarchical isosurface segmentation based on discrete curvature
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Dynamic maintenance and visualization of molecular surfaces
Discrete Applied Mathematics - Special issue: Computational molecular biology series issue IV
Molecular shape analysis based upon the morse-smale complex and the connolly function
Proceedings of the nineteenth annual symposium on Computational geometry
Morse-smale complexes for piecewise linear 3-manifolds
Proceedings of the nineteenth annual symposium on Computational geometry
A Formulation of Boundary Mesh Segmentation
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
TexMol: Interactive Visual Exploration of Large Flexible Multi-Component Molecular Complexes
VIS '04 Proceedings of the conference on Visualization '04
Volumetric Data Analysis using Morse-Smale Complexes
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
A topological hierarchy for functions on triangulated surfaces
IEEE Transactions on Visualization and Computer Graphics
Salient critical points for meshes
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Approximating nearest neighbor among triangles in convex position
Information Processing Letters
Technical Section: Computing smooth approximations of scalar functions with constraints
Computers and Graphics
Surface curvature line clustering for polyp detection in CT colonography
EG VCBM'08 Proceedings of the First Eurographics conference on Visual Computing for Biomedicine
Extraction of feature lines on surface meshes based on discrete morse theory
EuroVis'08 Proceedings of the 10th Joint Eurographics / IEEE - VGTC conference on Visualization
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This paper presents a new method for segmentation of molecular surfaces. Topological analysis of a scalar function defined on the surface and its associated gradient field reveals the relationship between the features of interest and critical points of the scalar function. The segmentation is obtained by associating segments with local minima/maxima. Controlled simplification of the function merges segments resulting in a hierarchical segmentation of the molecular surface. This segmentation is used to identify rigid components of protein molecules and to study the role of cavities and protrusions in protein-protein interactions.