一种基于功率谱估计的图像相位匹配方法  

An Image Phase Matching Method Based on Power Spectrum Estimation

作　　者：万众[1] 熊智[1] 邢丽[1] 李一博[1] 

机构地区：[1]南京航空航天大学导航研究中心,江苏南京211106

出　　处：《航空计算技术》2017年第3期18-23,共6页Aeronautical Computing Technique

基　　金：国家自然科学基金项目资助(61673208;61533008;61533009;61374115);航空科学基金项目资助(20165552043);江苏省"333工程"科研资助立项项目资助(BRA2016405);留学人员择优项目资助(2016);江苏省六大人才高峰项目资助(2013-JY-013);中央高校基本科研业务费专项资金资助(NZ2016104;NS2017016);江苏高校优势学科建设工程资助项目和江苏省"物联网与控制技术"重点实验室基金资助;南京航空航天大学研究生创新基地(实验室)开放基金项目资助(kfjj20160320)

摘　　要：相位相关法作为常用的相位匹配技术在使用中会遇到相位卷绕问题,一般频域求解方法需要进行相位解绕和最小二乘或RANSAC拟合,但相位解绕过程繁琐,且最小二乘拟合法易受噪声干扰,RANSAC拟合方法时间开销大。为此,提出了一种基于平均周期图法功率谱估计的相位匹配方法,将空间域问题转化到频域内求解,并成功规避了相位解绕步骤,相位匹配精度达到了亚像素量级。与经典频域分析方法对比,方法可在规避相位解绕的同时获得精度相当的有效结果。最后对方法的分辨精度进行了仿真分析,实验结果证明能够达到亚像素级的视差分辨率,为相位匹配在频域中的研究提供了新的思路。As the commonly used phase matching technology, the phase correlation method will encounter phase wrapping problems. Thus, the general method in the frequency domain contains phase unwrapping and least squares fitting or RANSAC fitting. However, the phase unwrapping process is tedious, and the least square fitting method is vulnerable to noise interference, as well as the RANSAC fitting method is time consuming. An analysis of the phase matching method is proposed based on the power spectrum esti- mation using averaged periodogram method, transforming into the frequency domain to solve spatial do- main problem and successfully avoiding the phase unwrapping steps. And the phase matching accuracy reaches the sub- pixel level. By comparing with the classical analysis method in frequency domain, this method can obtain the equivalently accurate results of the phase unwrapping method. Finally, the resolu- tion accuracy of the method is simulated and analyzed. The results of experiment show that this method can reach the sub- pixel disparity resolution, which provides a new idea for the research of phase matching in frequency domain.

关 键 词：相位匹配 相位相关 相位解绕 功率谱估计 亚像素 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术] TN911.7[自动化与计算机技术—计算机科学与技术]