Calculating geometric properties of objects represented by Fourier coefficients.

N. Kiryati*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations

Abstract

The author is concerned with the calculation of object features directly from the Fourier-series coefficients of boundary function r(φ) which describes the length of the radius-vector from the origin to a boundary point. The area, the coordinates of the centroid, and the second-order moments with respect to the axes passing through the origin are determined. Given these features, the orientation of the central axes, and the central moments of inertia can be easily determined. The difficulty of calculating the perimeter in terms of the Fourier coefficients of r(φ) is known. Hence, lower and upper bounds on the perimeter are established.

Original languageEnglish
Title of host publicationProc CVPR 88 Comput Soc Conf on Comput Vision and Pattern Recognit
PublisherPubl by IEEE
Pages641-646
Number of pages6
ISBN (Print)0818608625
StatePublished - 1988
Externally publishedYes

Publication series

NameProc CVPR 88 Comput Soc Conf on Comput Vision and Pattern Recognit

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