Jacob, MathewsMathewsJacobTHIERRY BLUUnser, MichaelMichaelUnser2024-03-082024-03-082000-12-0110514651https://scholars.lib.ntu.edu.tw/handle/123456789/640680We 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. © 2000 IEEE.journal article2-s2.0-33750922897https://api.elsevier.com/content/abstract/scopus_id/33750922897