Estimation of Similarity of 3D Object's Shape Using Spherical Harmonic Function

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Other Title
  • 2319 球面調和関数展開による 3 次元物体の類似度判定

Abstract

Various applications such as the construction of 3D shape search engine for finding similar shape, the estimation of deformation measure from standard object, and design and design evaluations of product become possible if similarity between two shapes can be estimated based on proper information that does not depend on the posture of the object. In this study, we propose a method for estimating the similarity measure of 3D shapes. The similarity is defined by the spectrum that is obtained from expansion coefficients of spherical harmonic function in relation to shape characteristics. Simulation using an area and a perimeter of multidirectional projected images of the 3D object as the shape characteristics shows the validity of this method.

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