欠采样包裹相位图的展开算法  

Unwrapping algorithm of under-sampled wrapped-phase map

作　　者：王华英[1] 张志会[2] 赵宝群[1] 熊南燕[3] 朱巧芬[1] 郭中甲[2] 刘飞飞[2] 

机构地区：[1]河北工程大学理学院,河北邯郸056038 [2]河北工程大学信息与电气工程学院,河北邯郸056038 [3]河北工程大学医学院,河北邯郸056038

出　　处：《强激光与粒子束》2012年第10期2311-2317,共7页High Power Laser and Particle Beams

基　　金：国家自然科学基金项目(61077001;61144005);河北省自然科学基金项目(F2008000750;F2010001038);河北省科技支撑计划项目(09277101D);河北省教育厅科学研究重点项目(ZH2011241)

摘　　要：利用四种常见算法对由球面参考光像面数字全息显微术得到的中药饮片海金沙细胞的包裹相位图进行了相位解包裹。结果表明:基于离散余弦的最小二乘算法和预条件共轭梯度算法会使欠采样区域的误差进行传递,使得解包裹相位产生较大误差;质量图导向路径跟踪算法由于未识别残差点,导致出现"拉线"或者"孤岛"区域,而且处理速度很慢;基于横向剪切干涉的最小二乘算法处理欠采样包裹相位图的效果最好,而且处理速度较快。The existing phase-unwrapping algorithms are analyzed and classified, aiming at solving the problem of under sampling in wrapped-phase map. The least-square algorithm based on lateral shearing interferometry is studied. Four common phase-unwrapping algorithms are applied to the wrapped-phase map of Lygodium japonicum cell, which is obtained by image- plane digital holography recorded with spherical reference waves. The results show that the least-square algorithm based on dis＋ crete cosine transform and the pre-condition conjugate grads algorithm result in transfer of phase-unwrapping error in the under- sampled area; the quality-guided path following algorithm results in pull phenomenon and island area because of the residual point without recognition, and its processing is slow; the least-square algorithm based on lateral shearing interferometry has the best effect for dealing with the under-sampled wrapped-phase map, and its processing is the fastest.

关 键 词：像面数字全息显微 相位重建 欠采样 横向剪切 最小二乘法 

分 类 号：O438[机械工程—光学工程]