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» Inequalities for the curvature of curves and surfaces
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84
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CAGD
2006
103views more  CAGD 2006»
14 years 9 months ago
The implicit structure of ridges of a smooth parametric surface
Given a smooth surface, a blue (red) ridge is a curve such that at each of its points, the maximum (minimum) principal curvature has an extremum along its curvature line. Ridges a...
Frédéric Cazals, Jean-Charles Faug&e...
CAGD
1998
99views more  CAGD 1998»
14 years 9 months ago
A Laguerre geometric approach to rational offsets
Laguerre geometry provides a simple approach to the design of rational curves and surfaces with rational offsets. These so-called PH curves and PN surfaces can be constructed from...
Martin Peternell, Helmut Pottmann
SIAMIS
2008
115views more  SIAMIS 2008»
14 years 9 months ago
Geodesic Evolution Laws---A Level-Set Approach
Motion of curves governed by geometric evolution laws, such as mean curvature flow and surface diffusion, is the basis for many algorithms in image processing. If the images to be ...
Christina Stöcker, Axel Voigt
82
Voted
TASE
2010
IEEE
14 years 4 months ago
Surface Patch Reconstruction From "One-Dimensional" Tactile Data
This paper studies the reconstruction of unknown curved surfaces through finger tracking. A patch can be generated from tactile data points along three concurrent surface curves un...
Yan-Bin Jia, Jiang Tian
GMP
2006
IEEE
157views Solid Modeling» more  GMP 2006»
15 years 3 months ago
Density-Controlled Sampling of Parametric Surfaces Using Adaptive Space-Filling Curves
Abstract. Low-discrepancy point distributions exhibit excellent uniformity properties for sampling in applications such as rendering and measurement. We present an algorithm for ge...
J. A. Quinn, Frank C. Langbein, Ralph R. Martin, G...