Stationary pattern by feedback effect and its application for image processing

2008 Fiscal Year Final Research Report

• 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
• Keywords: 非平衡 / 非線形物理学

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] 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)
  • Peer Reviewed
• [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] 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] 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