We address the problem of computing discrete geometric moments on 2D binary images encoded in the quadtree data structure. We do this by precomputing central moments of the squares of side length 2k, and using the connection between ordinary and central moments. Compared with the state of the art for images encoded as quadtrees, our method considerably improves the efficiency of moment computation.
Computation of 2D discrete geometric moments on quadtrees
Paola Magillo;Lidija Comic
2025-01-01
Abstract
We address the problem of computing discrete geometric moments on 2D binary images encoded in the quadtree data structure. We do this by precomputing central moments of the squares of side length 2k, and using the connection between ordinary and central moments. Compared with the state of the art for images encoded as quadtrees, our method considerably improves the efficiency of moment computation.
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