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CVIU
2011
9 years 5 months ago
Sampled medial loci for 3D shape representation
The medial axis transform is valuable for shape representation as it is complete and captures part structure. However, its exact computation for arbitrary 3D models is not feasibl...
Svetlana Stolpner, Sue Whitesides, Kaleem Siddiqi
SMI
2010
IEEE
228views Image Analysis» more  SMI 2010»
9 years 8 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
TCS
2008
9 years 10 months ago
Finding a minimum medial axis of a discrete shape is NP-hard
The medial axis is a classical representation of digital objects widely used in many applications. However, such a set of balls may not be optimal: subsets of the medial axis may ...
David Coeurjolly, Jérôme Hulin, Isabe...
JMIV
2006
130views more  JMIV 2006»
9 years 10 months ago
Alternative 2D Shape Representations using the Symmetry Set
Among the many attempts made to represent families of 2D shapes in a simpler way, the Medial Axis (MA) takes a prominent place. Its graphical representation is intuitively appealin...
Arjan Kuijper, Ole Fogh Olsen, Peter J. Giblin, Ma...
CCCG
2007
9 years 12 months ago
Medial Axis Approximation of Planar Shapes from Union of Balls: A Simpler and more Robust Algorithm
Given a dense sampling S of the smooth boundary of a planar shape O. We show that the medial axis of the union of Voronoi balls centered at Voronoi vertices inside O has a particu...
Joachim Giesen, Balint Miklos, Mark Pauly
CGI
2000
IEEE
10 years 2 months ago
Local and Global Geometric Methods for Analysis Interrogation, Reconstruction, Modification and Design of Shape
This paper gives an overview of some recent methods useful for local and global shape analysis and for the design of solids. These methods include as new tools for global and loca...
Franz-Erich Wolter, K.-I. Friese
CVPR
2006
IEEE
10 years 2 months ago
An Efficiency Criterion for 2D Shape Model Selection.
We propose efficiency of representation as a criterion for evaluating shape models, then apply this criterion to compare the boundary curve representation with the medial axis. We...
Kathryn Leonard
COMPGEOM
2007
ACM
10 years 2 months ago
Medial axis approximation from inner Voronoi balls: a demo of the Mesecina tool
We illustrate a simple algorithm for approximating the medial axis of a 2D shape with smooth boundary from a sample of this boundary. The algorithm is compared to a more general a...
Balint Miklos, Joachim Giesen, Mark Pauly
COMPGEOM
1999
ACM
10 years 2 months ago
Motion Planning for a Rigid Body Using Random Networks on the Medial Axis of the Free Space
Several motion planning methods using networks of randomly generated nodes in the free space have been shown to perform well in a number of cases, however their performance degrad...
Steven A. Wilmarth, Nancy M. Amato, Peter F. Still...
COMPGEOM
2009
ACM
10 years 3 months ago
The scale axis picture show
We demonstrate how the scale axis transform can be used to compute a parameterized family of shape skeletons. The skeletons gradually represent only the most important features of...
Joachim Giesen, Balint Miklos, Mark Pauly, Camille...
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