使用L0范数代价函数的二维相位快速解缠方法

针对最小范数解缠方法的代价函数模型以及迭代效率问题，提出一种符合L0范数准则的高效的二维相位全局最优解缠方法。在对最小范数代价函数模型特征进行分析的基础上，给出一种符合L0范数准则的代价函数，满足在相位不连续边界的切方向上相对法方向具有更强的约束作用，保证解缠迭代处理时连续相位按照代价函数的约束条件进行趋近的同时，不连续边界不会被破坏。为了解决线性方程中低频误差收敛慢的问题，根据最小范数方法独立性的特点，采用数据分块处理方法，注重高频信息以提高迭代处理效率，将低频信息处理转移到数据块间偏移量计算中。实验对比分析表明，新解缠方法在可靠性和效率方面都能够达到较好的水平。

An Effective Two-Dimensional Phase Unwrapping Method Using Cost Function Model of L0 Norm

In order to improve the cost model and convergence speed of the minimum norm unwrapping, we propose a two-dimensional global phase unwrapping method optimized with L0 norm. By analyzing the features of cost model in phase unwrapping with minimum norm, a cost function definition is employed in line with the L0 norm, which imposes a stronger constraint in the tangent direction of phase discontinuity boundary than that in normal direction. Meanwhile, to overcome slow convergence of low-frequency error compensation in linear equations, a data partitioning strategy is adopted in unwrapping processing, in view of the intrinsic independence of the minimum norm method, which only focuses on high-frequency information to improve efficiency in the iterative process, but processing of the low-frequency part is transferred to offsetting between data partitions. The experiment shows that reliability and efficiency of the proposed phase unwrapping method are enhanced.