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Quasi-Flat Zones for Angular Data Simplification

Erchan Aptoula 1 Minh-Tan Pham 2 Sébastien Lefèvre 2
2 OBELIX - Environment observation with complex imagery
UBS - Université de Bretagne Sud, IRISA-D5 - SIGNAUX ET IMAGES NUMÉRIQUES, ROBOTIQUE
Abstract : Quasi-flat zones are based on the constrained connectivity paradigm and they have proved to be effective tools in the context of image simplification and super-pixel creation. When stacked, they form successive levels of the α-or ω-tree powerful representations. In this paper we elaborate on their extension to angular data, whose periodicity prevents the direct application of grayscale quasi-flat zone definitions. Specifically we study two approaches in this regard, respectively based on reference angles and angular distance computations. The proposed methods are tested both qualitatively and quantitatively on a variety of angular data, such as hue images, texture orientation fields and optical flow images. The results indicate that quasi-flat zones constitute an effective means of simplifying angular data, and support future work on angular tree-based representations .
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Erchan Aptoula, Minh-Tan Pham, Sébastien Lefèvre. Quasi-Flat Zones for Angular Data Simplification. International Symposium on Mathematical Morphology (ISMM), 2017, Fontainebleau, France. ⟨10.1007/978-3-319-57240-6_28⟩. ⟨hal-01672857⟩

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