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» Geometric Fitting of Parametric Curves and Surfaces
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CAGD
1998
99views more  CAGD 1998»
13 years 6 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
CAD
2008
Springer
13 years 6 months ago
Constrained curve fitting on manifolds
When designing curves on surfaces the need arises to approximate a given noisy target shape by a smooth fitting shape. We discuss the problem of fitting a B-spline curve to a poin...
Simon Flöry, Michael Hofer
CAD
2011
Springer
12 years 9 months ago
Principal curvature ridges and geometrically salient regions of parametric B-spline surfaces
Ridges are characteristic curves of a surface that mark salient intrinsic features of its shape and are therefore valuable for shape matching, surface quality control, visualizati...
Suraj Musuvathy, Elaine Cohen, James N. Damon, Joo...
ICRA
2002
IEEE
95views Robotics» more  ICRA 2002»
13 years 11 months ago
Extremal Distance Maintenance for Parametric Curves and Surfaces
A new extremal distance tracking algorithm is presented for parametric curves and surfaces undergoing rigid body motion. The essentially geometric extremization problem is transfo...
Volkan Patoglu, R. Brent Gillespie
DICTA
2003
13 years 7 months ago
Algebraic Curve Fitting Support Vector Machines
An algebraic curve is defined as the zero set of a multivariate polynomial. We consider the problem of fitting an algebraic curve to a set of vectors given an additional set of v...
Christian J. Walder, Brian C. Lovell, Peter J. Koo...