A STUDY OF METHODS OF CHOOSING THE SMOOTHING PARAMETER IN IMAGE-RESTORATION BY REGULARIZATION

被引:191
作者
THOMPSON, AM [1 ]
BROWN, JC [1 ]
KAY, JW [1 ]
TITTERINGTON, DM [1 ]
机构
[1] UNIV GLASGOW,DEPT STAT,GLASGOW G12 2QW,SCOTLAND
关键词
CROSS-VALIDATION; ILL-POSED PROBLEMS; IMAGE RESTORATION; REGULARIZATION; SMOOTHING;
D O I
10.1109/34.88568
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The method of regularization is portrayed as providing a compromise between fidelity to the data and smoothness, with the tradeoff being determined by a scalar smoothing parameter. Various ways of choosing this parameter are discussed in the case of quadratic regularization criteria. They are compared algebraically and their statistical properties are assessed, comparatively, from the results of an extensive simulation study based on simple images.
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页码:326 / 339
页数:14
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