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ESA
2004
Springer
119views Algorithms» more  ESA 2004»
13 years 10 months ago
A Straight Skeleton Approximating the Medial Axis
We propose the linear axis, a new skeleton for polygonal shapes. It is related to the medial axis and the straight skeleton, being the result of a wavefront propagation process. Th...
Mirela Tanase, Remco C. Veltkamp
ECCV
2004
Springer
13 years 10 months ago
Consistency Conditions on the Medial Axis
The medial axis in 3D consists of 2D sheets, meeting in 1D curves and special points. In this paper we investigate the consistency conditions which must hold on a collection of she...
Anthony J. Pollitt, Peter J. Giblin, Benjamin B. K...
SMA
2005
ACM
132views Solid Modeling» more  SMA 2005»
13 years 10 months ago
Simplified engineering analysis via medial mesh reduction
Numerous simplification methods have been proposed for speeding up engineering analysis/ simulation. A recently proposed medial axis reduction is one such method, that is particul...
Murari Sinha, Krishnan Suresh
MOBICOM
2005
ACM
13 years 10 months ago
MAP: medial axis based geometric routing in sensor networks
One of the challenging tasks in the deployment of dense wireless networks (like sensor networks) is in devising a routing scheme for node to node communication. Important consider...
Jehoshua Bruck, Jie Gao, Anxiao Jiang
SMI
2005
IEEE
181views Image Analysis» more  SMI 2005»
13 years 10 months ago
A Tracing Algorithm for Constructing Medial Axis Transform of 3D Objects Bound by Free-Form Surfaces
This paper presents an algorithm for generating the Medial Axis Transform(MAT) of 3D objects with free-form boundaries. The algorithm proposed uses the exact representation of the...
M. Ramanathan, B. Gurumoorthy
SMI
2005
IEEE
13 years 10 months ago
Computational Topology for Reconstruction of Surfaces with Boundary: Integrating Experiments and Theory
We report new techniques and theory in computational topology for reconstructing surfaces with boundary. This complements and extends known techniques for surfaces without boundar...
K. Abe, Justin Bisceglio, Thomas J. Peters, Alexan...
COMPGEOM
2006
ACM
13 years 11 months ago
Medial axis approximation and unstable flow complex
The medial axis of a shape is known to carry a lot of information about it. In particular a recent result of Lieutier establishes that every bounded open subset of Rn has the same...
Joachim Giesen, Edgar A. Ramos, Bardia Sadri
CGI
2006
IEEE
13 years 11 months ago
Dynamic Medial Axes of Planar Shapes
In this paper a computational model called dynamic medial axis (DMA) is proposed to describe the internal evolution of planar shapes. To define the DMA, a symbolic representation ...
Kai Tang, Yong-Jin Liu
IWCIA
2009
Springer
13 years 11 months ago
Hierarchical Discrete Medial Axis for Sphere-Tree Construction
In discrete geometry, the Distance Transformation and the Medial Axis Extraction are classical tools for shape analysis. In this paper, we present a Hierarchical Discrete Medial Ax...
Alain Broutta, David Coeurjolly, Isabelle Sivignon
ICPR
2000
IEEE
14 years 6 months ago
Stability Analysis of Medial Axis Transform under Relative Hausdorff Distance
Medial axis transform (MAT) is a basic tool for shape analysis. But, in spite of its usefulness, it has some drawbacks, one of which is its instability under the boundary perturba...
Sung Woo Choi, Seong-Whan Lee