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3DPVT
2006
IEEE
216views Visualization» more  3DPVT 2006»
14 years 3 days ago
Shape Measure for Identifying Perceptually Informative Parts of 3D Objects
We propose a mathematical approach for quantifying shape complexity of 3D surfaces based on perceptual principles of visual saliency. Our curvature variation measure (CVM), as a 3...
Sreenivas R. Sukumar, David Page, Andrei V. Gribok...
ICIP
2003
IEEE
14 years 7 months ago
Shape analysis algorithm based on information theory
In this paper, we describe an algorithm to measure the shape complexity for discrete approximations of planar curves in 2D images and manifold surfaces for 3D triangle meshes. We ...
Andreas Koschan, Besma Roui-Abidi, David L. Page, ...
SGP
2007
13 years 8 months ago
Robust statistical estimation of curvature on discretized surfaces
A robust statistics approach to curvature estimation on discretely sampled surfaces, namely polygon meshes and point clouds, is presented. The method exhibits accuracy, stability ...
Evangelos Kalogerakis, Patricio D. Simari, Derek N...
SIAMSC
2010
108views more  SIAMSC 2010»
13 years 4 months ago
Goal-Oriented Error Estimation and Adaptivity for Free-Boundary Problems: The Shape-Linearization Approach
Abstract. We develop duality-based a posteriori error estimates for functional outputs of solutions of free-boundary problems via shape-linearization principles. To derive an appro...
K. G. van der Zee, E. H. van Brummelen, R. de Bors...
SMA
2008
ACM
154views Solid Modeling» more  SMA 2008»
13 years 6 months ago
Consistent computation of first- and second-order differential quantities for surface meshes
Differential quantities, including normals, curvatures, principal directions, and associated matrices, play a fundamental role in geometric processing and physics-based modeling. ...
Xiangmin Jiao, Hongyuan Zha