相位展开算法中质量权值的数学描述与分析  

Mathematic Descriptions and Analysis of Quality Weighting Factors in Phase Unwrapping Algorithms

作　　者：崔海华[1] 廖文和[1] 程筱胜[1] 戴宁[1] 傅士强[1] 

机构地区：[1]南京航空航天大学机电学院,江苏南京210016

出　　处：《光学学报》2010年第1期97-104,共8页Acta Optica Sinica

基　　金：国家863计划(2005AA420240);教育部博士点基金(20070287055);江苏省数字化制造技术重点建设实验室开放课题(HGDML-0609)资助课题

摘　　要：由于不可预知影响因素的存在,使得相位的正确展开成为一个非常困难的问题,为了更好地指导相位正确展开,对几种经典的质量权值进行了详细的分析。给出了它们的完整的数学描述,然后基于数学模型进行了详细的原理性推导,分析各种质量权值的性能和特点,并根据其物理意义在同领域或相关领域提出了新的改进算法,最后,通过实例验证了改进算法的正确性和优越性,同时也证明了该分析对理解和研究相位展开的普遍指导意义。Phase unwrapping is a very difficult problem because of the existence of many unpredictable factors.In order to acquire the more accuracy phase unwrapping,a detailed analysis about the several classic quality weighting factors is given.First,the full mathematical formula of them are provided,then the principle of derivation is described and the characteristics of them are analyzed.According to their physical meaning,some improved algorithms in the same field or related fields are proposed.The experiments prove the feasibility and superiority of improved algorithms.It is also testified that the analysis has universal guiding significance for understanding and studying phase unwrapping.

关 键 词：图像处理 相位展开 质量权值 数学分析 统计分析 

分 类 号：TH741[机械工程—光学工程]