The Color Monogenic Signal: Application to Color Edge Detection and Color Optical Flow
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- Demarcq, G., Mascarilla, L., Berthier, M. et al. J Math Imaging Vis (2011) 40: 269. doi:10.1007/s10851-011-0262-6
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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 ℝ5,0. 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.