Research field (6):
Perceptual information processing
, Applied mathematics and statistics
, Basic mathematics
, Mathematical analysis
, Applied mathematics and statistics
, Basic mathematics
Research theme for competitive and other funds (12):
2019 - 2023 調和解析的方法によるディジタル・フィルタと非線形画像処理の研究及びその応用
2018 - 2021 調和解析的方法による視覚・錯視の研究の機械学習への応用
2015 - 2019 Mathematical analysis of vision by framelets and applications to image processing
2011 - 2016 数学と知覚心理学の協働による視覚・錯視のメカニズムの解明
2011 - 2013 Harmonic analysis of framlets and applications to image processing
2007 - 2012 視覚の数理モデルと錯視の研究
2007 - 2011 Mathematical models of visual perception by means of wavelet frames
2004 - 2006 マルチウェーブレット・フレームとその調和解析への応用
2004 - 2005 ウェーブレットによる視覚情報処理と錯視の研究
2002 - 2003 多様体上のウェーブレット類似基底とその調和解析への応用
1999 - 2001 調和解析の研究及びその偏微分方程式への応用
1996 - 1998 調和解析,偏微分方程式,複素解析の総合的研究
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Patents (16):
画像処理装置、画像処理方法、および、画像処理プログラム
PRINT MEDIUM DISPLAYING ILLUSION IMAGE AND NON-TRANSITORY COMPUTER-READABLE RECORDING MEDIUM HOLDING ILLUSION IMAGE DATA
IMAGE PROCESSING APPARATUS, IMAGE PROCESSING METHOD, PROGRAM, PRINTING MEDIUM, AND RECORDING MEDIUM
ILLUSION ANALYZING APPARATUS, APPARATUS FOR GENERATING ILLUSION-CONSIDERED IMAGE FOR WHICH ILLUSION IS TAKEN INTO CONSIDERATION TO ALLOW PERCEPTION ACCORDING TO ORIGNIAL IMAGE, ILLUSION ANALZING METHOD, METHOD OF GENERATING ILLUSION-CONSIDERED IMAGE FOR WHICH ILLUSION IS TAKEN INTO CONSIDERATION TO ALLOW PERCEPTION ACCORDING TO ORIGINAL IMAGE, AND PROGRAM
Illusion image generating apparatus, medium, image data, illusion image generating method, printing medium manufacturing method, and program
2013/09 - 日本応用数理学会 日本応用数理学会論文賞 (JJIAM部門) Framelet analysis of some geometrical illusions
2008/04 - Prize for Science and Technology (Research Category), The Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology, Japan New mathematical theory of vision and visual illusions
1997/03 - Spring Prize, Mathematical Society of Japan Study on complex analysis and harmonic analysis
1995 - Featured Review in "Mathematical Reviews" (American Mathematical Society)に選出. 対象論文:"Degenerate elliptic operators, Hardy spaces and diffusions on strongly pseudoconvex domains", Hitoshi Arai, Tohoku Math. J. (1994), pp. 469-498