2 October 1998 Fourier analysis of three-dimensional shapes
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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.
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Atsushi Imiya, "Fourier analysis of three-dimensional shapes", Proc. SPIE 3454, Vision Geometry VII, (2 October 1998); doi: 10.1117/12.323278; https://doi.org/10.1117/12.323278
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