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...
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...
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...
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...
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...
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...
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...
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 ...
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
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...