Calcuiating Geometrlc Propertles of Objects Represented by Fourler Coefficients

Nahum Kiryati · 1988

The area, the location of the centroid and the second order moments of a region are determined and expressed in closed-form in terms of the Fourier-coefficients of the boundary function. The orientation of the central axes and the second order central moments can then be easily obtained. Bounds on the perimeter of the region are derived in terms of the Fourier coefficients too.

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