2011 | OriginalPaper | Chapter
Using Mathematical Morphology for Similarity Search of 3D Objects
Authors : Roberto Lam, J. M. Hans du Buf
Published in: Pattern Recognition and Image Analysis
Publisher: Springer Berlin Heidelberg
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In this paper we use the erosion and dilation operators for characterizing 3D polygonal objects. The goal is to perform a similarity search in a set of distinct objects. The method applies successive dilations and erosions of the meshes in order to compute the difference volume as a function of the size of the structuring element. Because of appropriate pre-processing, the resulting function is invariant to translation, rotation and mesh resolution. On a set of 32 complex objects with different mesh resolutions, the method achieved an average ranking rate of 1.47, with 23 objects ranked first and 6 objects ranked second.