We propose a method for computing continuous (exact) geometric moments on 2D binary images, based on a decomposition into overlapping rectangles and on the inclusion-exclusion principle. The approach assumes that the input is given as a chain code describing the contour of the represented object (black pixels) and reduces the number of pixels where calculations are to be performed, especially when the contours have long axis-parallel sides.
Computation of 2D Continuous Geometric Moments Through Inclusion–Exclusion
Magillo, Paola;
2024-01-01
Abstract
We propose a method for computing continuous (exact) geometric moments on 2D binary images, based on a decomposition into overlapping rectangles and on the inclusion-exclusion principle. The approach assumes that the input is given as a chain code describing the contour of the represented object (black pixels) and reduces the number of pixels where calculations are to be performed, especially when the contours have long axis-parallel sides.
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