计算机工程与应用
計算機工程與應用
계산궤공정여응용
COMPUTER ENGINEERING AND APPLICATIONS
2010年
4期
166-169
,共4页
干涉合成孔径雷达%最小二乘%多重网格%偏微分方程%高斯-塞德尔松弛法
榦涉閤成孔徑雷達%最小二乘%多重網格%偏微分方程%高斯-塞德爾鬆弛法
간섭합성공경뢰체%최소이승%다중망격%편미분방정%고사-새덕이송이법
Interfemmetrie Synthetic Aperture Radar(InSAR)%least square%multi-grid%Partial Differential Equation(PDE)%GaussSeidel relaxation
相位解缠是干涉合成孔径雷达(InSAR)测量地形高程、重建三维地形模型的重要步骤之一.介绍了最小二乘的相位解缠原理,提出了一种基于无权重的多重网格算法求解离散泊松方程.该算法是在较大网格基础上解决偏微分方程(PDE)的快速方法,将误差的低频成分转换为高频成分,这样就可以使用高斯一塞德尔松弛法去除多种频率的误差分量.实验结果证明:该方法具有收敛速度快,解缠精度高等优点.
相位解纏是榦涉閤成孔徑雷達(InSAR)測量地形高程、重建三維地形模型的重要步驟之一.介紹瞭最小二乘的相位解纏原理,提齣瞭一種基于無權重的多重網格算法求解離散泊鬆方程.該算法是在較大網格基礎上解決偏微分方程(PDE)的快速方法,將誤差的低頻成分轉換為高頻成分,這樣就可以使用高斯一塞德爾鬆弛法去除多種頻率的誤差分量.實驗結果證明:該方法具有收斂速度快,解纏精度高等優點.
상위해전시간섭합성공경뢰체(InSAR)측량지형고정、중건삼유지형모형적중요보취지일.개소료최소이승적상위해전원리,제출료일충기우무권중적다중망격산법구해리산박송방정.해산법시재교대망격기출상해결편미분방정(PDE)적쾌속방법,장오차적저빈성분전환위고빈성분,저양취가이사용고사일새덕이송이법거제다충빈솔적오차분량.실험결과증명:해방법구유수렴속도쾌,해전정도고등우점.
Phase unwrapping of Interferometrie Synthetic Aperture Radar(InSAR)is one of the most important steps to obtain an accurate DEM(Digital Elevating Model)and reconstruct 3-D landform images.The theories of interferometric and InSAR 2-D phase unwrapping based on least square ale presented.Unweighted multi-grid algorithm which is used to solve Partial Differential Equation(PDE)on larger grids with fast calculating rate is proposed to solve the discrete Poisson equation.The method can transform law frequency components to high frequency components,wipe off quickly using Gauss-Seidel relaxation and smoothen multi-frequency errors.It is indicated that the convergence speed is the same as FFT and DCT with higher unwrapping accuracy.