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SCALESPACE
2009
Springer

Adaptation of Eikonal Equation over Weighted Graph

10 years 9 months ago
Adaptation of Eikonal Equation over Weighted Graph
Abstract. In this paper, an adaptation of the eikonal equation is proposed by considering the latter on weighted graphs of arbitrary structure. This novel approach is based on a family of discrete morphological local and nonlocal gradients expressed by partial difference equations (PdEs). Our formulation of the eikonal equation on weighted graphs generalizes local and nonlocal configurations in the context of image processing and extends this equation for the processing of any unorganized high dimensional discrete data that can be represented by a graph. Our approach leads to a unified formulation for image segmentation and high dimensional irregular data processing.
Vinh-Thong Ta, Abderrahim Elmoataz, Olivier Lezora
Added 27 May 2010
Updated 27 May 2010
Type Conference
Year 2009
Where SCALESPACE
Authors Vinh-Thong Ta, Abderrahim Elmoataz, Olivier Lezoray
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