| 基于同伦算法的非线性最小二乘相位解缠 |
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| 引用本文： | 刘伟科,刘国林,陶秋香.基于同伦算法的非线性最小二乘相位解缠[J].测绘科学,2012(4):126-128,137. |
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| 作者姓名： | 刘伟科 刘国林 陶秋香 |
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| 作者单位： | 山东科技大学测绘科学与工程学院 |
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| 基金项目： | 国家自然科学基金(40874001);国家863计划(2009AA12Z147);海岛(礁)测绘技术国家测绘局重点实验室资助项目(2010A01) |
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| 摘 要： | 线性加权最小二乘方法进行相位解缠时,采用迭代法求解,收敛速度慢,不容易得到精确解。本文提出非线性相位解缠模型,并采用同伦算法实现非线性最小二乘相位解缠。通过真实数据与线性最小二乘相位解缠算法进行对比实验,验证了该方法是有效的,特别是在有噪声干扰的区域,该方法可以提高相位解缠的精度。
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| 关 键 词： | 非线性 相位解缠 同伦算法 最小二乘模型 线性加权最小二乘 |
Nonlinear least squares phase unwrapping based on homotopy method |
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| LIU Wei-ke,LIU Gou-lin,TAO Qiu-xiang.Nonlinear least squares phase unwrapping based on homotopy method[J].Science of Surveying and Mapping,2012(4):126-128,137. |
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| Authors: | LIU Wei-ke LIU Gou-lin TAO Qiu-xiang |
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| Institution: | (Geomatics College,Shandong University of Science and Technology,Shandong Qingdao 266510,China) |
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| Abstract: | The linear Weighted Least Squares(WLS) Phase Unwrapping method,solving the problem in slow convergence with the iterative method,usually could not easily get the solutions exactly.This paper proposed a model of nonlinear Least Squares Unwrapping,which worked it out based on the homotopy method.When compared with the classic linear LS phase unwrapping method in real data conditions,this approach verified effective,especially in the noise disturbance areas,which could improve the accuracy of the phase unwrapping. |
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| Keywords: | nonlinear phase unwrapping homotopy method model of Least Squares linear weighted least squares |
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