Bayesian restoration of interferometric phase through biased anisotropic diffusion

In this paper a new Bayesian algorithm for interferometric phase restoration is presented. Based on a non-linear anisotropic extension of Orientation Diffusions, the inherent directionality of the fringe structure is introduced into its prior model. It also accounts for the periodicity of the phase representation. A fidelity term derived from the anisotropic metrics and the InSAR phase statistics deviates diffusion towards the acquired phase value. It acts as an adapted likelihood of the diffused phase. Hence, phase restoration is a trade-off between directionality and reconstruction fidelity, prior and likelihood. Results are provided on a High Resolution Spotlight scene acquired by TerraSAR-X.