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Published in:
2013 | OriginalPaper | Chapter
Discrete Simulation of a Chladni Experiment
Author : Frédéric Rieux
Published in: Mathematical Morphology and Its Applications to Signal and Image Processing
Publisher: Springer Berlin Heidelberg
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Digital diffusion processes have been introduced to capture information about the neighborhood of points in a digital object. The properties of these processes give information about curvature, about specific symmetries and particular points on the discrete set. The evolution of diffusion is governed by the
Laplace-Beltrami
operator which presides to the diffusion on the manifold, as for example random walks. In this paper, we will study the discrete Laplacian operator defined on pixels in order to understand the symmetries and extract their intersections. This will lead to the identifications of particular points or information about geometry of a digital set.