A TOTAL VARIATION ENHANCED MODIFIED GRADIENT ALGORITHM FOR PROFILE RECONSTRUCTION

被引：81

作者：

VANDENBERG, PM ^{[1
]}

KLEINMAN, RE ^{[1
]}

机构：

[1] UNIV DELAWARE, DEPT MATH SCI, CTR MATH WAVES, NEWARK, DE 19716 USA

来源：

INVERSE PROBLEMS | 1995年 / 11卷 / 03期

关键词：

D O I：

10.1088/0266-5611/11/3/002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The total variation minimization method for deblurring noisy data is shown to be effective in dramatically increasing the resolution in a modified gradient approach to index of refraction reconstruction from measured scattered field data. Numerical evidence is presented which shows that by including the total variation in the functional to be minimized the reconstructions of piecewise constant profiles are considerably sharpened. The stability of the modified gradient method with respect to noise is apparently also enhanced. Furthermore, the presence of the total variation does not appear to adversely effect the established effectiveness of the modified gradient method in reconstructing smooth profiles.

引用

页码：L5 / L10

页数：6

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