Elsevier

Pattern Recognition Letters

Volume 12, Issue 2, February 1991, Pages 109-115
Pattern Recognition Letters

Fold principal axis—a new tool for defining the orientations of rotationally symmetric shapes

https://doi.org/10.1016/0167-8655(91)90056-RGet rights and content

Abstract

Chou, S.-L., J.-C. Lin and W.-H. Tsai, Fold principal axis—a new tool for defining the orientations of rotationally symmetric shapes, Pattern Recognition Letters 12 (1991) 109–115.

A new type of principal axis, namely, fold principal axis, is introduced in this paper, which can be used to define the orientations of rotationally symmetric shapes. A given shape is first transformed into a new shape on which the well-defined traditional principal axis is detected. The traditional principal axis is then transformed back to obtain the proposed fold principal axes of the given shape. The properties of such axes, including the uniqueness, existence, and invariance under rotation, translation, and scaling, are investigated. Some illustrative examples are also given.

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Sheng-Lin Chou is also with Advanced Technology Center, Computer and Communication Research Laboratories, Industrial Technology Research Institute, Chutung, Hsinchu, Taiwan 31015, ROC.

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