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.
Type
conference paper
Publication date
2000
Publisher
Published in
Proceedings of the Fifteenth International Conference on Pattern Recognition (ICPR'00)
Issue
Barcelona, Kingdom of Spain
Start page
131
End page
134
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
September 18, 2015
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