Power Tree Filter: A Theoretical Framework Linking Shortest Path Filters and Minimum Spanning Tree Filters

Abstract : Edge-preserving image filtering is an important pre-processing step in many filtering applications. In this article, we analyse the basis of edge-preserving filters and also provide theoretical links between the MST filter, which is a recent state-of-art edge-preserving filter, and filters based on geodesics. We define shortest path filters, which are closely related to adaptive kernel based filters, and show that MST filter is an approximation to the Γ −limit of the shortest path filters. We also propose a different approximation for the Γ −limit that is based on union of all MSTs and show that it yields better results than that of MST approximation by reducing the leaks across object boundaries. We demonstrate the effectiveness of the proposed filter in edge-preserving smoothing by comparing it with the tree filter.
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https://hal.archives-ouvertes.fr/hal-01430538
Contributeur : Sravan Danda <>
Soumis le : mercredi 15 mars 2017 - 14:40:31
Dernière modification le : samedi 18 mars 2017 - 01:11:46

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  • HAL Id : hal-01430538, version 3

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Sravan Danda, Aditya Challa, B Daya Sagar, Laurent Najman. Power Tree Filter: A Theoretical Framework Linking Shortest Path Filters and Minimum Spanning Tree Filters. 2017. <hal-01430538v3>

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