L+L1-norm Method for Multi-baseline Phase Unwrapping
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摘要: 多基線相位解纏繞問題可以轉化為求解L1范數(shù)優(yōu)化問題的最優(yōu)解，然而L1范數(shù)多基線相位解纏繞算法存在內(nèi)存需求量大的問題，且對噪聲嚴重的干涉相位圖處理效果不理想。為了減少用線性規(guī)劃算法解L1范數(shù)多基線相位解纏繞時內(nèi)存需求較大的問題，該文提出用L范數(shù)的懲罰函數(shù)來近似L1范數(shù)的懲罰函數(shù)以減少優(yōu)化模型中優(yōu)化變量的大小，從而將多基線相位解纏繞模型其目標函數(shù)變?yōu)長范數(shù)+L1范數(shù)的形式，并且優(yōu)化變量的大小減少了約57%。最后，通過一個噪聲嚴重的實測數(shù)據(jù)對該文算法進行了驗證，實驗結果表明，該文提出的方法不僅可以有效地解纏繞質量較好的條紋圖，同時對噪聲嚴重區(qū)還具有一定的濾波效果。
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關鍵詞:
- 干涉合成孔徑雷達 /
- 多基線 /
- 相位解纏繞 /
- L1范數(shù) /
- L+L1范數(shù)
Abstract: Multi-baseline phase unwrapping problem can be solved according to find the optimal solution of the L1-norm optimization. However, there are two problems: one is the huge memory required and the other is the difficulty in processing interferograms with severe noise. In order to decrease the memory requirement of the L1-norm method, with a cost function of L-norm is employed to approximate the L1-norm. Consequently, the objective function of the improved multi-baseline phase unwrapping is the form of L-norm+L1-norm, and the size of the new optimization variable is decreased by 57%. The performance of the proposed algorithm is validated via a real dataset with severe noise present, and the experiment demonstrates that the proposed algorithm not only presents a well phase unwrapping result of interferograms with good quality, but also performs a filtering against noise region.-
Key words:
- Interferometric SAR (InSAR) /
- Multi-baseline /
- Phase unwrapping /
- L1-norm /
- L+L1-norm
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