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A method to construct new pseudo-distances for the size function space based on the formal series representation of size function is introduced. These new pseudo-distances allow to measure quantitatively the differences in shapes by comparing size functions. Some experiments on digital images are shown.
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Claudia Landi, Patrizio Frosini, "New pseudodistances for the size function space," Proc. SPIE 3168, Vision Geometry VI, (20 October 1997); https://doi.org/10.1117/12.279674