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» Approximate computation of curves on B-spline surfaces
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IMAMS
2007
157views Mathematics» more  IMAMS 2007»
13 years 7 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain
ICIP
2002
IEEE
14 years 7 months ago
Fitting smooth surfaces to scattered 3D data using piecewise quadratic approximation
The approximation of surfaces to scattered data is an important problem encountered in a variety of scientific applications, such as reverse engineering, computer vision, computer...
Hélio Pedrini, Murilo Vicente Gonçal...
ICRA
1998
IEEE
118views Robotics» more  ICRA 1998»
13 years 9 months ago
A General Theory for Positioning and Orienting 2D Polygonal or Curved Parts using Intelligent Motion Surfaces
: In this paper we present novel algorithms to compute quasi-static and dynamic equilibrium positions and orientations (if any) of 2D polygonal or curved parts placed on general sh...
Murilo G. Coutinho, Peter M. Will
SMI
2010
IEEE
228views Image Analysis» more  SMI 2010»
13 years 3 months ago
Hierarchical Spline Approximation of the Signed Distance Function
We present a method to compute the medial axis of a smooth curve or surface by using PHT-spline (polynomial splines over hierarchical T-meshes) hierarchical approximation. In part...
Xinghua Song, Bert Jüttler, Adrien Poteaux
COMPUTING
2004
88views more  COMPUTING 2004»
13 years 5 months ago
Spline Curve Approximation and Design by Optimal Control Over the Knots
In [1] Optimal Control methods over re-parametrization for curve and surface design were introduced. The advantage of Optimal Control over Global Minimization such as in [17] is t...
Rony Goldenthal, Michel Bercovier