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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
VMV
2003
154views Visualization» more  VMV 2003»
13 years 6 months ago
Piecewise Linear Approximation of Signed Distance Fields
The signed distance field of a surface can effectively support many geometry processing tasks such as decimation, smoothing, and Boolean operations since it provides efficient a...
Jianhua Wu, Leif Kobbelt
AAECC
2007
Springer
132views Algorithms» more  AAECC 2007»
13 years 5 months ago
Approximate implicitization of planar curves by piecewise rational approximation of the distance function
We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given...
Mohamed Shalaby, Bert Jüttler, Josef Schicho
CGF
2010
157views more  CGF 2010»
13 years 2 months ago
Non-iterative Second-order Approximation of Signed Distance Functions for Any Isosurface Representation
Signed distance functions (SDF) to explicit or implicit surface representations are intensively used in various computer graphics and visualization algorithms. Among others, they ...
Vladimir Molchanov, Paul Rosenthal, Lars Linsen
DAGSTUHL
2010
13 years 6 months ago
On Curved Simplicial Elements and Best Quadratic Spline Approximation for Hierarchical Data Representation
We present a method for hierarchical data approximation using curved quadratic simplicial elements for domain decomposition. Scientific data defined over two- or three-dimensional ...
Bernd Hamann