Color Image Segmentation in a Quaternion Framework

Authors:
Özlem N. Subakan;Baba C. Vemuri
Affiliations:
Department of Computer and Information Science and Engineering, University of Florida, Gainesville, USA 32611;Department of Computer and Information Science and Engineering, University of Florida, Gainesville, USA 32611
Venue:
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Year:
2009

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Abstract

In this paper, we present a feature/detail preserving color image segmentation framework using Hamiltonian quaternions. First, we introduce a novel Quaternionic Gabor Filter (QGF) which can combine the color channels and the orientations in the image plane. Using the QGFs, we extract the local orientation information in the color images. Second, in order to model this derived orientation information, we propose a continuous mixture of appropriate hypercomplex exponential basis functions. We derive a closed form solution for this continuous mixture model. This analytic solution is in the form of a spatially varying kernel which, when convolved with the signed distance function of an evolving contour (placed in the color image), yields a detail preserving segmentation.