Choosing the Parameter of Image Restoration Filters by Modified Subspace Information Criterion

• TANAKA Akira

  Division of Systems and Information Engineering, Graduate School of Engineering, Hokkaido University

• IMAI Hideyuki

  Division of Systems and Information Engineering, Graduate School of Engineering, Hokkaido University

• MIYAKOSHI Masaaki

  Division of Systems and Information Engineering, Graduate School of Engineering, Hokkaido University

抄録

Practical image restoration filters usually include a parameter that controls regularizability, trade-off between fidelity of a restored image and smoothness of it, and so on. Many criteria for choosing such a parameter have been proposed. However, the relation between these criteria and the squared error of a restored image, which is usually used to evaluate the restoration performance, has not been theoretically substantiated. Sugiyama and Ogawa proposed the subspace information criterion (SIC) for model selection of supervised learning problems and showed that the SIC is an unbiased estimator of the expected squared error between the unknown model function and an estimated one. They also applied it to restoration of images. However, we need an unbiased estimator of the unknown original image to construct the criterion, so it can not be used for general situations. In this paper, we present a modified version of the SIC as a new criterion for choosing a parameter of image restoration filters. Some numerical examples are also shown to verify the efficacy of the proposed criterion.

収録刊行物

• IEICE transactions on fundamentals of electronics, communications and computer sciences

  IEICE transactions on fundamentals of electronics, communications and computer sciences 85 (5), 1088-1095, 2002-05-01

  一般社団法人電子情報通信学会

キーワード

• image restoration
• parameter
• subspace information criterion
• squared error
• unbiased estimator

詳細情報

• CRID: 1573950402123774464
• NII論文ID: 110003209132
• NII書誌ID: AA10826239
• ISSN: 09168508
• 本文言語コード: en
• データソース種別:
  • CiNii Articles