Exact Computation of Area Moments for Spline and Wavelet Curves

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.


Published in:
Proceedings of the Fifteenth International Conference on Pattern Recognition (ICPR'00), Barcelona, Kingdom of Spain, 131–134
Year:
2000
Publisher:
IEEE
Laboratories:




 Record created 2015-09-18, last modified 2018-11-14

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