正规化(语言学)
独特性
适定问题
数学
兰姆达
比例(比率)
计算机科学
人工智能
应用数学
数学优化
数学分析
物理
量子力学
光学
作者
M. Bertero,Tomaso Poggio,Vincent Torre
出处
期刊:Proceedings of the IEEE
[Institute of Electrical and Electronics Engineers]
日期:1988-01-01
卷期号:76 (8): 869-889
被引量:623
摘要
Mathematical results on ill-posed and ill-conditioned problems are reviewed and the formal aspects of regularization theory in the linear case are introduced. Specific topics in early vision and their regularization are then analyzed rigorously, characterizing existence, uniqueness, and stability of solutions. A fundamental difficulty that arises in almost every vision problem is scale, that is, the resolution at which to operate. Methods that have been proposed to deal with the problem include scale-space techniques that consider the behavior of the result across a continuum of scales. From the point of view of regulation theory, the concept of scale is related quite directly to the regularization parameter lambda . It suggested that methods used to obtained the optimal value of lambda may provide, either directly or after suitable modification, the optimal scale associated with the specific instance of certain problems.< >
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