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Morphological mesh filtering and α-objects
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DOI：10.1016/j.patrec.2008.03.019.png)
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Abstract
En 中文
Since image analysis techniques have come to maturity, mesh analysis has remained challenging requiring more and more efforts for elaborating an effective theoretical model. In this article, following algebraic mesh operators, we introduce algorithms that perform morphological transformations on unorganized point sets connected by their Delaunay triangulations. We show that these algorithms correspond to morphological operators like erosion, dilation or opening, acting as shape filters on meshes. More theoretically, a link is established between these algorithms and the formalisms of edge algebra and alpha-objects. Then, the mesh operators are defined in terms of complete lattices. These algorithms are applied to the problem - among others - of scene reconstruction by stereoscopy in which objects are represented by unstructured and noisy clouds of 3D points. Rapid prototyping should also benefit from these algorithms. (C) 2008 Elsevier B.V. All rights reserved.
Keywords:
shape analysis
mesh analysis
unorganized point cloud
surface-oriented representation
simplicial representation
morphological operator
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