منابع مشابه
Groupwise Medial Axis Transform
Medial Axis Transform (MAT) is one of the promising tools used for the shape recognition and it poses the advantages like space and complexity reduction, ease of processing for shape recognition. MAT representation of shapes uses object centred co-ordinate system that represents bending, elongation and thickness. But MAT of the objects is very much sensitive to small perturbations of its bounda...
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We propose an Euclidean medial axis filtering method which generates subsets of Euclidean medial axis were filtering rate is controlled by one parameter. The method is inspired by Miklos’, Giesen’s and Pauly’s scale axis method which preserves important features of an input object from shape understanding point of view even if they are at different scales. Our method overcomes the most importan...
متن کاملEdge-Unfolding Medial Axis Polyhedra
It is shown that a convex medial axis polyhedron has two distinct edge unfoldings: cuttings along edges that unfold the surface to a simple planar polygon. One of these unfoldings is a generalization of the point source unfolding, and is easily established to avoid overlap. The other is a novel unfolding that requires a more complex argument to establish nonoverlap, and might generalize.
متن کاملA discrete λ-medial axis
The λ-medial axis was introduced in 2005 by Chazal and Lieutier as a new concept for computing the medial axis of a shape subject to filtering with a single parameter. These authors proved the stability of the λ-medial axis under small shape perturbations. In this paper, we introduce the definition of a discrete λ-medial axis (DLMA). We evaluate its stability and rotation invariance experimenta...
متن کاملTwo-dimensional offsets and medial axis transform
We present a mathematical theory of the two-dimensional offset curves from the viewpoint of medial axis transform. We explore the local geometry of the offset curve in relation with the medial axis transform, culminating in the classification of points on the offset curve. We then study the domain decomposition from the viewpoint of offsets, and in particular introduce the concept of monotonic ...
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ژورنال
عنوان ژورنال: The Journal of Geometric Analysis
سال: 2017
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-017-9763-x