Presentation 2017-05-25
Comprehensive Performance Analysis on Constant-time Gaussian Filter based on Discrete Cosine Transform
Kenjiro Sugimoto, Seisuke Kyochi, Sei-ichiro Kamata,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Most of constant-time Gaussian filters ($O(1)$ GF) based on the Discrete Cosine Transform (DCT), which provide high performance tradeoff between approximation accuracy and computational complexity, has a general framework that a Gaussian kernel is approximated by few cosine termsand then each cosine term is convolved in a constant-time manner. It is well known that DCT has the eight types of definitions but, for $O(1)$ GF, all the DCT types have not been studied comprehensively. This comprehensive analysis is important to clarify differences of $O(1)$ GF derived from each DCT. This paper analyses the eight-types of DCT using a general form of them and clarifies their differences for $O(1)$ GF. In addition, this paper derives a moment-preserving Gaussian approximationfor DCT-1,3,5,7 from a viewpoint of convex optimization.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Constant-time Gaussian filter / Discrete cosine transform / Sliding transform / moments
Paper # SIP2017-4,IE2017-4,PRMU2017-4,MI2017-4
Date of Issue 2017-05-18 (SIP, IE, PRMU, MI)

Conference Information
Committee PRMU / IE / MI / SIP
Conference Date 2017/5/25(2days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Eisaku Maeda(NTT) / Seishi Takamura(NTT) / Yoshitaka Masutani(Hiroshima City Univ.) / Makoto Nakashizuka(Chiba Inst. of Tech.)
Vice Chair Seiichi Uchida(Kyushu Univ.) / Hironobu Fujiyoshi(Chubu Univ.) / Takayuki Hamamoto(Tokyo Univ. of Science) / Atsuro Ichigaya(NHK) / Yoshiki Kawata(Tokushima Univ.) / Yuichi Kimura(Kinki Univ.) / Masahiro Okuda(Univ. of Kitakyushu) / Shogo Muramatsu(Niigata Univ.)
Secretary Seiichi Uchida(Kyoto Univ.) / Hironobu Fujiyoshi(NTT) / Takayuki Hamamoto(NTT) / Atsuro Ichigaya(Chiba Inst. of Tech.) / Yoshiki Kawata(Aichi Inst. of Tech.) / Yuichi Kimura(Nagoya Inst. of Tech.) / Masahiro Okuda(Ritsumeikan Univ.) / Shogo Muramatsu(Chiba Inst. of Tech.)
Assistant Masaki Oonishi(AIST) / Takuya Funatomi(NAIST) / Kei Kawamura(KDDI R&D Labs.) / Keita Takahashi(Nagoya Univ.) / Ryo Haraguchi(Univ. of Hyogo) / Yasushi Hirano(Yamaguchi Univ.) / Osamu Watanabe(Takushoku Univ.)

Paper Information
Registration To Technical Committee on Pattern Recognition and Media Understanding / Technical Committee on Image Engineering / Technical Committee on Medical Imaging / Technical Committee on Signal Processing
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Comprehensive Performance Analysis on Constant-time Gaussian Filter based on Discrete Cosine Transform
Sub Title (in English)
Keyword(1) Constant-time Gaussian filter
Keyword(2) Discrete cosine transform
Keyword(3) Sliding transform
Keyword(4) moments
1st Author's Name Kenjiro Sugimoto
1st Author's Affiliation Waseda University(Waseda Univ.)
2nd Author's Name Seisuke Kyochi
2nd Author's Affiliation The University of Kitakyushu(Univ. of Kitakyushu)
3rd Author's Name Sei-ichiro Kamata
3rd Author's Affiliation Waseda University(Waseda Univ.)
Date 2017-05-25
Paper # SIP2017-4,IE2017-4,PRMU2017-4,MI2017-4
Volume (vol) vol.117
Number (no) SIP-47,IE-48,PRMU-49,MI-50
Page pp.pp.19-24(SIP), pp.19-24(IE), pp.19-24(PRMU), pp.19-24(MI),
#Pages 6
Date of Issue 2017-05-18 (SIP, IE, PRMU, MI)