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.

• Type: Conference
• Year: 2000
• Where: ICPR
• Authors: Mathews Jacob, Thierry Blu, Michael Unser
• Keywords: Area Moments, Computer Vision, Exact Algorithm, ICPR 2000, Suitable Multidimensional Filter