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» Orthogonal Distance Fitting of Implicit Curves and Surfaces
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COMPUTING
2007
81views more  COMPUTING 2007»
13 years 5 months ago
Hybrid curve fitting
We consider a parameterized family of closed planar curves and introduce an evolution process for identifying a member of the family that approximates a given unorganized point cl...
Martin Aigner, Bert Jüttler
AAECC
2007
Springer
117views Algorithms» more  AAECC 2007»
13 years 5 months ago
A predictor-corrector-type technique for the approximate parameterization of intersection curves
Abstract We describe a method to approximate a segment of the intersection curve of two implicitly defined surfaces by a rational parametric curve. Starting from an initial soluti...
Bert Jüttler, Pavel Chalmovianský
CVPR
2003
IEEE
14 years 7 months ago
Implicit Meshes for Modeling and Reconstruction
Explicit surfaces, such as triangulations or wireframe models, have been extensively used to represent the deformable 3?D models that are used to fit 3?D point and 2?D silhouette ...
Slobodan Ilic, Pascal Fua
CAD
2006
Springer
13 years 5 months ago
Constrained 3D shape reconstruction using a combination of surface fitting and registration
We investigate 3D shape reconstruction from measurement data in the presence of constraints. The constraints may fix the surface type or set geometric relations between parts of a...
Yang Liu, Helmut Pottmann, Wenping Wang
SMI
2010
IEEE
228views Image Analysis» more  SMI 2010»
13 years 4 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