Radiance Scaling for versatile surface enhancement
Proceedings of the 2010 ACM SIGGRAPH symposium on Interactive 3D Graphics and Games
Surface Relief Analysis for Illustrative Shading
Computer Graphics Forum
Growing Least Squares for the Analysis of Manifolds in Scale-Space
Computer Graphics Forum
Local shape descriptors, a survey and evaluation
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Illustrative molecular visualization with continuous abstraction
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
Multiscale geometric modeling of macromolecules I: Cartesian representation
Journal of Computational Physics
Interactive extraction and tracking of biomolecular surface features
EuroVis '13 Proceedings of the 15th Eurographics Conference on Visualization
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Local shape descriptors compactly characterize regions of a surface, and have been applied to tasks in visualization, shape matching, and analysis. Classically, curvature has be used as a shape descriptor; however, this differential property characterizes only an infinitesimal neighborhood. In this paper, we provide shape descriptors for surface meshes designed to be multi-scale, that is, capable of characterizing regions of varying size. These descriptors capture statistically the shape of a neighborhood around a central point by fitting a quadratic surface. They therefore mimic differential curvature, are efficient to compute, and encode anisotropy. We show how simple variants of mesh operations can be used to compute the descriptors without resorting to expensive parameterizations, and additionally provide a statistical approximation for reduced computational cost. We show how these descriptors apply to a number of uses in visualization, analysis, and matching of surfaces, particularly to tasks in protein surface analysis.