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Journal Articles ISPRS International Journal of Geo-Information Year : 2016

Morphological PDEs on Graphs for Image Processing on Surfaces and Point Clouds

Abstract

Partial Differential Equations (PDEs)-based morphology offers a wide range of continuous operators to address various image processing problems. Most of these operators are formulated as Hamilton-Jacobi equations or curve evolution level set and morphological flows. In our previous works, we have proposed a simple method to solve PDEs on point clouds using the framework of PdEs (Partial difference Equations) on graphs. In this paper, we propose to apply a large class of morphological-based operators on graphs for processing raw 3D point clouds and extend their applications for the processing of colored point clouds of geo-informatics 3D data. Through illustrations, we show that this simple framework can be used in the resolution of many applications for geo-informatics purposes.
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hal-01397336 , version 1 (21-05-2024)

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Abderrahim Elmoataz, François Lozes, Hugues Talbot. Morphological PDEs on Graphs for Image Processing on Surfaces and Point Clouds. ISPRS International Journal of Geo-Information, 2016, 5 (11), ⟨10.3390/ijgi5110213⟩. ⟨hal-01397336⟩
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