In this paper,we propose a supervised color image segmentation using homotopy continuattion method and Markov Random Field (MRF) model.We propose a constrained compound MRF model to take care of color texture and scene images.Ohta(I1,I2,I3) model is used as the color model for image segmentation.We also have extented the proposed mdoel to intercolor-planes as well as intra-color-planes of the color model and thus a Double constrained Compound MRF (DCCMRF) model is proposed.The a priori MRF model parameters are estimated using the proposed homotopy continuation based method.The model parameters are the maximum pseudo likelihood estimates.The DCCMRF model with estimated model parameters wxhibited improved segmentation accuracy as compared to DCMRF,MRF,Double MRF (DMRF) and JSED method.