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» Inequalities for the curvature of curves and surfaces
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COMPGEOM
2010
ACM
13 years 11 months ago
Visualizing 3D Euler spirals
This video describes a new type of 3D curves, which generalizes the family of 2D Euler spirals. They are defined as the curves having both their curvature and their torsion evolv...
Gur Harary, Ayellet Tal
CAGD
2004
59views more  CAGD 2004»
13 years 6 months ago
Single equation without inequalities to represent a composite curve
A scheme is proposed based on an extension of Analytic Geometry to represent a composite curve either with a single equation or with two equations in the case of parametric repres...
E. Chicurel-Uziel
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...
ICPR
2004
IEEE
14 years 7 months ago
Surface Tortuosity and its Application to Analyzing Cracks in Concrete
Previous studies of tortuosity were restricted to a curve in 2D or 3D. We propose several measures of surface tortuosity based on surface normals and principal curvatures, and app...
George Nagy, Tong Zhang
SMI
2006
IEEE
141views Image Analysis» more  SMI 2006»
14 years 8 days ago
Degree Reduction for NURBS Symbolic Computation on Curves
Symbolic computation of NURBS plays an important role in many areas of NURBS-based geometric computation and design. However, any nontrivial symbolic computation, especially when ...
Xianming Chen, Richard F. Riesenfeld, Elaine Cohen