Stationary pattern by feedback effect and its application for image processing

• Project/Area Number: 18684022
• Research Category: Grant-in-Aid for Young Scientists (A)
• Allocation Type: Single-year Grants
• Research Field: Mathematical physics/Fundamental condensed matter physics
• Research Institution: Chiba University
• Principal Investigator: SAKURAI Tatsunari Chiba University, 大学院理学研究科, 准教授 (60353322)
• Project Period (FY): 2006 – 2008
• Project Status: Completed (Fiscal Year 2008)
• Budget Amount: ¥13,130,000 (Direct Cost: ¥10,100,000、Indirect Cost: ¥3,030,000); Fiscal Year 2008: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000); Fiscal Year 2007: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2006: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
• Keywords: 非平衡 / 非線形物理学 / 非平衡開放系 / 反応・拡散系 / Belousov-Zhabotinsky反応 / 光フィードバック / チューリングパターン

Research Abstract

「リズム」の発生とそれを基にし「かたち(パターン)」を形成する化学反応(BZ反応)があります。本課題では、BZ反応に光フィードバックを付加した系において、そのパターンの制御を行いました。また数理解析を行うためのモデルを提案し、パターンの安定性について議論しました。それらの知見をもとに、時間的・空間的に発展するパターンを用いた画像処理手法を提案し、生体視覚システムとの共通性を議論しました。

Research Products

• [Journal Article] Kinematic model of propagating arc-like segments with feedback (2008)
  • Author(s): T. Sakurai, K. Osaki, and T. Tsujikawa
  • Journal Title: Physica D Vol.237 Pages: 3165-3171
  • Peer Reviewed
• [Journal Article] Dynamics of Chemical Wave Segments with Free Ends (2008)
  • Author(s): T. Sakurai and K. Osaki
  • Journal Title: Communications in Nonlinear Science and Numerical Simulations Vol.13 Pages: 1067-1076
  • Peer Reviewed
• [Journal Article] Image processing by a coupled non-linear oscillator system (2008)
  • Author(s): N. Kurata, H. Mmahara, T. Sakurai, A. Nomura, and H. Miike
  • Journal Title: Proc. 23rd Int. Tech. Conf. on Circuits/Systems, Computers and Communications (ITC-CSCC 2008) Pages: 553-556
• [Journal Article] Kinematic model of propagating arc-like segments with feed back (2008)
  • Author(s): T. Sakurai, K. Osaki, and T. Tsujikawa
  • Journal Title: Physica D 237 Pages: 3165-3171
  • Peer Reviewed
• [Journal Article] Dynamics of Chemical Wave Segments with Free Ends (2008)
  • Author(s): T. Sakurai and K. Osaki
  • Journal Title: Communications in Nonlinear Science and Numerical Simulations 13 Pages: 1067-1076
  • Peer Reviewed
• [Journal Article] Image processing by a coupled non-linear oscillator system (2008)
  • Author(s): N. Kurata, H. Mmahara, T. Sakurai., A. Nomura, and H. Miike
  • Journal Title: Proc. 23rd Int. Tech. Conf. on Circuits/Systems, Computers and Communications (ITC-CSCC 2008) 54 Pages: 35-49
• [Journal Article] Global Well-Posedness and Exponetial Attractor for the Oregonator System with Global Feedback (2008)
  • Author(s): K. Osaki, T. Sakurai, S. Yoshikawa
  • Journal Title: RESEARCH REPORTS OF UBE NATIONAL COLLEGE OF TECHNOLOGY 54 Pages: 35-49
• [Journal Article] Stationary pattern formation in a discrete excitable system with strong inhibitory coupling
  • Author(s): N. Kurata, H. Kitahata, H. Mahara, A. Nomura, H. Miike, and T. Sakurai
  • Journal Title: Physical Review E (掲載決定済)
  • NAID: 120005373256
  • Peer Reviewed
• [Journal Article] Stationary pattern formation in a discrete excitable system with strong inhibitory coupling
  • Author(s): N. Kurata, H. Kitahata, H. Mahara, A. Nomura, H. Miike, and T. Sakurai
  • Journal Title: Physical Review E (掲載決定済)
  • NAID: 120005373256
  • Peer Reviewed
• [Presentation] フィードバック項付き曲率モデルの提案 (2009)
  • Author(s): 櫻井建成、大崎浩一、辻川亨
  • Organizer: 第18回非線形反応と協同現象研究会
  • Place of Presentation: 京都府京田辺市
  • Year and Date: 2009-01-10
• [Presentation] Computing with Chemical reactions (2008)
  • Author(s): T. Sakurai
  • Organizer: 3rd Int. Workshop on Natural Computing
  • Place of Presentation: 神奈川県横浜市
  • Year and Date: 2008-09-23
• [Presentation] Image Processing by a Coupled Non-Linear Oscillator System (2008)
  • Author(s): N. Kurata,(T. Sakurai)
  • Organizer: The 23rd International. Technical Confere nce on Circuits/Systems, Computers and Communications
  • Place of Presentation: 山口県下関市
  • Year and Date: 2008-09-23
• [Presentation] Onset and stability of stationary pattern in a spatially discrete excitable system, Czech-Japanese Seminar in Applied (2008)
  • Author(s): T. Sakurai
  • Organizer: Mathematics 2008 (CJS2008)
  • Place of Presentation: 宮崎県高千穂町
  • Year and Date: 2008-09-01
• [Presentation] Onset and stability of stationary pattern in a spatially discrete excitable system (2008)
  • Author(s): T. Sakurai
  • Organizer: Czech-Japanese Seminar in Applied Mathem atics 2008(CJS2008)
  • Place of Presentation: 宮崎県高千穂町
  • Year and Date: 2008-09-01
• [Presentation] レセプター欠損株を用いた走化性大腸菌のパターン形成 (2008)
  • Author(s): 川上裕典、櫻井建成
  • Organizer: 第17回非線形反応と協同現象研究会
  • Place of Presentation: 千葉大学
  • Year and Date: 2008-01-12
• [Presentation] 光BZ反応系における化学波の安定性 (2008)
  • Author(s): 塩入一希、櫻井建成
  • Organizer: 第17回非線形反応と協同現象研究会
  • Place of Presentation: 千葉大学
  • Year and Date: 2008-01-12
• [Presentation] Kinematic model for stabilized chemical wave (2007)
  • Author(s): T. Sakurai
  • Organizer: Mini workshop on pattern formation in reaction diffusion system with advection
  • Place of Presentation: チェコ・プラハ
  • Year and Date: 2007-09-12
• [Presentation] Stability of multi armed spiral wave (2007)
  • Author(s): K. Shioiri, T. Sakurai
  • Organizer: Mini workshop on pattern formation in reaction diffusion system with advection
  • Place of Presentation: チェコ・プラハ
  • Year and Date: 2007-09-12