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Proceedings Paper

Fourier analysis of three-dimensional shapes
Author(s): Atsushi Imiya
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Paper Abstract

Almost all people can imagine a process to make a clay cube a clay ball by smoothing every edge and vertex of a cube without knowing any mathematics to describe this procedure theoretically. This is an example which shows that we can infer and obtain new concepts from learned geometrical concepts. This paper proposed a mathematical model to explain a process to obtain an outline of a shape by using the generalized cylinder representation of the 3D shape and Fourier descriptor for boundary curves on each slice. The method yields an outline of changing of the curvature along an orthogonal net drown on the surface of the original shape.

Paper Details

Date Published: 2 October 1998
PDF: 12 pages
Proc. SPIE 3454, Vision Geometry VII, (2 October 1998); doi: 10.1117/12.323278
Show Author Affiliations
Atsushi Imiya, Chiba Univ. (Japan)


Published in SPIE Proceedings Vol. 3454:
Vision Geometry VII
Robert A. Melter; Angela Y. Wu; Longin Jan Latecki, Editor(s)

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