基于二阶差分的加权最小费用流相位展开算法

相位展开是光学干涉相位测量技术中的重要步骤,由于噪声、欠采样等因素的影响,精确的相位展开变得非常困难。将相位的二阶差分和最小费用流算法结合,提出一种以相位的二阶差分作为最小费用流权重的相位展开算法。模拟计算表明,该算法既可有效地避免枝切法由于连接的枝切形成闭合区域导致局部相位不能展开的问题,又可减小最小二乘法近似逼近带来的较大误差,相对于未设置权值的最小费用流算法,提高了其相位展开的精度。对三维形貌测量中的实验数据相位展开结果,证明了该算法的有效性。

Weighted minimum cost flow phase unwrapping algorithm based on second difference

Phase unwrapping is an important step for precise phase measurement in optical interferometric techniques.Due to the effect of noise and undersampled region,an accurate phase unwrapping has been quite difficult.A new phase unwrapping algorithm based on phase second difference and minimum cost flow algorithm is presented.Computer simulation shows:it can avoid local incomplete unwrapping problem that interlaced cuts produce closed regions in branch cut algorithm and reduce the errors caused by least square unwrapping algorithm.Comparing with the unweighted minimum cost flow algorithm,it also improves the phase unwrapping precision.The phase unwrapping result on real data in 3-D shape measurement verifies the validity of the algorithm.