测绘通报 ›› 2025, Vol. 0 ›› Issue (11): 140-145.doi: 10.13474/j.cnki.11-2246.2025.1122

• 技术交流 • 上一篇    下一篇

DEM辅助的双基线InSAR纯整数规划相位解缠算法

豁辉1, 李葛爽1, 苗长伟2, 孔令鹏2   

  1. 1. 河南测绘职业学院, 河南 郑州 451464;
    2. 中核勘察设计研究有限公司, 河南 郑州 450000
  • 收稿日期:2025-06-20 发布日期:2025-12-04
  • 作者简介:豁辉(1987—),女,硕士,讲师,主要研究方向为地图制图与地理信息工程。E-mail:418677526@qq.com
  • 基金资助:
    河南省科技攻关项目(212102310052)

DEM-aided pure integer programming phase unwrapping algorithm for dual baseline InSAR

HUO Hui1, LI Geshuang1, MIAO Changwei2, KONG Lingpeng2   

  1. 1. Henan College of Surveying and Mapping, Henan Province, Zhengzhou 451464, China;
    2. China Nuclear Industry Survey Design & Research Co., Ltd., Zhengzhou 450000, China
  • Received:2025-06-20 Published:2025-12-04

摘要: 本文针对频谱混叠和地形剧烈变化区域相位解缠难题,将双基线InSAR相位解缠求解整周期数问题转化为纯整数规划问题,提出了DEM辅助的纯整数规划相位解缠算法。该算法首先以在纵轴上的截距为目标函数,以一条射线为约束条件,构建双基线InSAR纯整数规划模型;然后利用分支定界算法求解最优模糊数解;最后在DEM辅助下提取出真实误解缠点,利用方形窗口中频率最高模糊数进行替换完成相位解缠。通过枝切法、最小费用流法、中国余数定理算法和聚类分析算法对仿真数据和真实数据的对比试验,证明了本文算法的可行性、有效性及普适性。该算法在相位欠采样区域和地形突变区域具有较好的解缠能力,且削弱了对干涉对基线互质的要求。

关键词: DEM辅助, 相位解缠, 双基线, 分支定界法, 纯整数规划

Abstract: To solve the phase unwrapping (PU) problem in areas with spectral aliasing and abrupt topographic changes,the problem of solving the integer cycle number of dual-baseline InSAR phase unwrapping is transformed into a pure integer programming (PIP) problem,and a DEM-assisted pure integer programming phase unwrapping algorithm is proposed.Firstly,a PIP model with the intercept on the vertical axis as the objective function and a ray as the constraint condition is constructed.Then,the branch and bound algorithm of operations research theory is used to solve the optimal integer solution of ambiguity numbers.Finally,on the premise that the true misunwrapping point is extracted by DEM,and the PU is completed by replacing the ambiguity number with the highest frequency in the square window.The feasibility,effectiveness and universality of the proposed algorithm are proved through the comparative experiments of the simulation data and real data with the branch-cut method,the minimum cost flow method,the Chinese remainder theorem algorithm and the clustering analysis algorithm.The algorithm has good unwrapping capability in phase under-sampling areas and terrain mutation area,and weakens the requirement for the mutual prime of the interferogram baselines.

Key words: DEM-aided, phase unwrapping, dual baseline, branch and bound method, pure integer programming

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