Hausdorff distances between distributions using optimal transport and mathematical morphology
International audience In this paper we address the question of defining and com-puting Hausdorff distances between distributions in a general sense. Weexhibit some links between Prokhorov-Levy distances and dilation-baseddistances. In particular, mathematical morphology provides an elegantway to de...
Main Authors: | , |
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Other Authors: | , , , , , , |
Format: | Conference Object |
Language: | English |
Published: |
HAL CCSD
2015
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Subjects: | |
Online Access: | https://imt.hal.science/hal-01172192 https://doi.org/10.1007/978-3-319-18720-4_44 |
Summary: | International audience In this paper we address the question of defining and com-puting Hausdorff distances between distributions in a general sense. Weexhibit some links between Prokhorov-Levy distances and dilation-baseddistances. In particular, mathematical morphology provides an elegantway to deal with periodic distributions. The case of possibility distribu-tions is addressed using fuzzy mathematical morphology. As an illustra-tion, the proposed approaches are applied to the comparison of spatialrelations between objects in an image or a video sequence, when theserelations are represented as distributions. |
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