The Color Monogenic Signal: Application to Color Edge Detection and Color Optical Flow

被引：21

作者：

Demarcq, Guillaume ^{[1
]}

Mascarilla, Laurent ^{[1
]}

Berthier, Michel ^{[1
]}

Courtellemont, Pierre ^{[1
]}

机构：

[1] Univ La Rochelle, Math Lab, Applicat MIA, F-17042 La Rochelle, France

来源：

JOURNAL OF MATHEMATICAL IMAGING AND VISION | 2011年 / 40卷 / 03期

关键词：

Color monogenic signal; Analytic and monogenic signal; Clifford algebras; Color segmentation; Color optical flow;

D O I：

10.1007/s10851-011-0262-6

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The aim of this paper is to define an extension of the analytic signal for a color image. We generalize the construction of the so-called monogenic signal to mappings with values in the vectorial part of the Clifford algebra R-5,R-0. Solving a Dirac equation in this context leads to a multiscale signal (relatively to the Poisson scale-space) which contains both structure and color information. The color monogenic signal can be used in a wide range of applications. Two examples are detailed: the first one concerns a multiscale geometric segmentation with respect to a given color; the second one is devoted to the extraction of the optical flow from moving objects of a given color.

引用

页码：269 / 284

页数：16

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