Half-quadratic cost functions for phase unwrapping.
We present a generic regularized formulation, based on robust half-quadratic regularization, for unwrapping noisy and discontinuous wrapped phase maps. Two cases are presented: the convex case and the nonconvex case. The unwrapped phase with the convex formulation is unique and robust to noise; however, the convex function solution deteriorates as a result of real discontinuities in phase maps. Therefore we also present a nonconvex formulation that, with a parameter continuation strategy, shows superior performance.
Centro de Investigacion en Matematicas A.C., Apartado Postal 402, 36000 Guanajuato, Guanajuato, Mexico. mrivera@fractal.cimat.mx
Mariano
M
Rivera
Jose L
JL
Marroquin