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Exact Computation of Area Moments for Spline and Wavelet Curves

M. Jacob, T. Blu, M. Unser

Proceedings of the Fifteenth International Conference on Pattern Recognition (ICPR'00), Barcelona, Kingdom of Spain, September 3-8, 2000, vol. III, pp. 131-134.



We present an exact algorithm for the computation of the moments of a region bounded by a curve represented in a scaling function or wavelet basis. Using Green's theorem, we show that the computation of the area moments is equivalent to applying a suitable multidimensional filter on the coefficients of the curve and thereafter computing a scalar product. We compare this algorithm with existing methods such as pixel-based approaches and approximation of the region by a polygon.


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