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One-dimensional reaction-diffusion systems in diffusive environment: emergence of long-range inhibition and its application to visual information processing

Research Project

Project/Area Number 26330276
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Soft computing
Research InstitutionYamaguchi University

Principal Investigator

Nomura Atsushi  山口大学, 教育学部, 教授 (40264973)

Co-Investigator(Kenkyū-buntansha) 岡田 耕一  山口大学, 大学教育機構, 講師 (50452636)
水上 嘉樹  山口大学, 創成科学研究科, 准教授 (60322252)
Co-Investigator(Renkei-kenkyūsha) ICHIKAWA Makoto  千葉大学, 文学部, 教授 (10294654)
SAKURAI Tatsunari  千葉大学, 理学研究科, 准教授 (60353322)
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywords反応拡散系 / 結合興奮系 / FitzHugh-Nagumo / 長距離抑制 / 視覚情報処理 / ノイズ除去 / 画像符号化 / エッジ検出 / 反応拡散アルゴリズム / 初期視覚 / FitzHugh-Nagumoモデル / 非線形素子 / 抑制性結合 / ノイズ / 画像蓄積 / 時間差・時間遅れ / 抑制性因子 / 3次元系 / 反応拡散ネットワーク / 離散結合興奮系 / 画像処理
Outline of Final Research Achievements

This research work proposed algorithms of visual information processing: image noise reduction, intensity coding and edge detection. The algorithms utilize a system of coupled FitzHugh-Nagumo type nonlinear reaction elements. Each element has an internal state governed by two ordinary differential equations. The elements are placed on a two- or three-dimensional grid, and are coupled to their nearest neighboring elements under long range inhibition. By utilizing the grid, we successfully proposed the noise-reduction algorithm with a three-dimensional grid, the image intensity coding algorithm by introducing additive Gaussian noise into initial conditions, and the edge detection algorithm with external stimuli of image gradients.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (4 results)

All 2016 2015 2014

All Presentation (4 results) (of which Int'l Joint Research: 3 results)

  • [Presentation] Preprocessing in a reaction-diffusion algorithm designed for image edge detection2016

    • Author(s)
      Atsushi Nomura, Koichi Okada and Yoshiki Mizukami
    • Organizer
      2016 IEEE International Symposium on Signal Processing and Information Technology (ISSPIT)
    • Place of Presentation
      Limassol, Cyprus
    • Year and Date
      2016-12-12
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Image coding and pooling with a bio-inspired reaction-diffusion algorithm2015

    • Author(s)
      Atsushi Nomura
    • Organizer
      2015 Annual International Conference on Biologically Inspired Cognitive Architectures
    • Place of Presentation
      Lyon, France
    • Year and Date
      2015-11-06
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Application of a FitzHugh-Nagumo model to image processing2015

    • Author(s)
      Atsushi Nomura
    • Organizer
      BBVA Workshop on Recent Advances in Bioinformatics and Neuroscience
    • Place of Presentation
      Madrid, Spain
    • Year and Date
      2015-06-09
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Image denoising algorithm with a three-dimensional grid system of coupled nonlinear elements2014

    • Author(s)
      Nomura, A., Mizukami, Y., Okada, K.
    • Organizer
      The 11th International Conference on Signal Processing and Multimedia Applications (SIGMAP)
    • Place of Presentation
      Vienna (Austria)
    • Year and Date
      2014-08-28 – 2014-08-30
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2018-03-22  

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