PolSAR Image Classification Based on Wishart TMF With Specific Auxiliary Field

The triplet Markov field (TMF) can obtain more promising classification results of nonstationary images than theMarkov random field (MRF). However, TMF has limitedly specialized applications to polarimetric synthetic aperture radar(PolSAR) images with nonstationarity properties. In addition, it is difficult to interpret the meaning of the auxiliaryfield derived by TMF. This implies that the auxiliary field may not have the physical meaning. We propose Wishart TMFwith a specific auxiliary field for PolSAR image classification. We define a smoothness characteristic, which describesthe extent of pixel smoothness in its neighborhood. This characteristic acts on the energy of the proposed TMF tosupervise the classification of the auxiliary field. The auxiliary field can distinguish the smoothness stationarity andnonsmoothness stationarity of PolSAR images, which indicates that the auxiliary field has the specific physical meaning.The effectiveness of the proposed TMF is demonstrated by real PolSAR image classification experiments.