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, 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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