Morphological PDEs on graphs for filtering and inpainting of point clouds

Author

Lozes, Francois ; Elmoataz, A. ; Lezoray, O.

Author_Institution

ENSICAEN, Normandie Univ., Caen, France

fYear

2013

fDate

4-6 Sept. 2013

Firstpage

542

Lastpage

547

Abstract

In this paper, we propose an adaptation of morphological Partial Differential Equations (PDEs) on graphs using the framework of Partial difference Equations (PdEs). This enables to define adaptive morphological operators on graphs. We then show how these operators can be used for interpolation and filtering of raw point clouds. To enable a patch-based processing of point clouds, we also show how a weighted graph based on patches can be associated with a point cloud. Finally, we present applications in cultural heritage¹.

Keywords

computer graphics; difference equations; filtering theory; graph theory; image reconstruction; interpolation; mathematical morphology; partial differential equations; adaptive morphological operators; cultural heritage; interpolation; morphological PDE; partial difference equations; partial differential equations; patch-based processing; point clouds filtering; point clouds inpainting; weighted graph; Cultural differences; Digital images; Image color analysis; Image restoration; Interpolation; Three-dimensional displays; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Image and Signal Processing and Analysis (ISPA), 2013 8th International Symposium on

Conference_Location

Trieste

Type

conf

DOI

10.1109/ISPA.2013.6703800

Filename

6703800