Model of Brightness Perception: Understanding Hermann Grid Illusion with Turing Scenario

• Project/Area Number: 23500278
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Sensitivity informatics/Soft computing
• Research Institution: Yamaguchi University
• Principal Investigator: NOMURA Atsushi 山口大学, 教育学部, 教授 (40264973)
• Co-Investigator(Kenkyū-buntansha): OKADA Koichi 山口大学, 大学教育機構, 講師 (50452636) ; MIZUKAMI Yoshiki 山口大学, 大学院・理工学研究科, 准教授 (60322252)
• Co-Investigator(Renkei-kenkyūsha): MIIKE Hidetoshi 山口大学, 大学研究推進機構, 機構長 (10107732) ; ICHIKAWA Makoto 千葉大学, 文学部, 教授 (10294654) ; SAKURAI Tatsunari 千葉大学, 大学院・理学研究科, 准教授 (60353322)
• Project Period (FY): 2011 – 2013
• Project Status: Completed (Fiscal Year 2013)
• Budget Amount: ¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000); Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000); Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000); Fiscal Year 2011: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
• Keywords: 反応拡散系 / 結合興奮系 / 視覚情報処理 / Turingシナリオ / 2値画像 / 反応拡散 / エッジ強調 / FitzHugh-Nagumo / 側抑制 / 緩和法 / 再帰的アルゴリズム / 自己組織化 / ソフトコンピューティング / 認知科学 / 画像工学 / パターン形成 / 結合興奮子系 / エッジ検出 / ステレオ視差検出 / Turingパターン / 異方性 / 時間遅れ

Research Abstract

In this research work we proposed an algorithm which converts a gray level image into a binary one. The algorithm utilizes a Schnakenberg type reaction-diffusion equation with activator and inhibitor distributions under a Turing condition; a periodic spatial pattern is self-organized in the reaction-diffusion equation under the Turing condition. We numerically confirmed that the spatial wave length of the self-organized periodic pattern depends on a parameter value of the equation. Thus, by modulating the parameter value with the gray level of an input image, we converted the image into a binary image. By applying the proposed algorithm to several real images, we confirmed that the algorithm successfully produces binary images which are perceptually equivalent to their input images. We also confirmed the convergence of the algorithm.

Research Products

• [Presentation] Recursive edge detection with coupled nonlinear elements in a coarse-to-fine approach, The 13th International Conference on Signal Processing (2013)
  • Author(s): Nomura, A
  • Organizer: Computational Geometry and Artificial Vision
  • Place of Presentation: Valencia, Spain
• [Presentation] Recursive Edge Detection with Coupled Nonlinear Elements in a Coarse-to-Fine Approach (2013)
  • Author(s): Nomura, A., Okada, K., Mizukami, Y., Ichikawa, M., Sakurai, T., Miike, H.
  • Organizer: The 13th International Conference on Signal Processing, Computational Geometry and Artificial Vision, ISCGAV '13
  • Place of Presentation: Valencia, Spain
• [Presentation] Image halftoning with ring patterns (2012)
  • Author(s): Nomura, A
  • Organizer: The 4th International Joint Conference on Computational Intelligence, International Conference on Evolutionary Computation Theory and Applications
  • Place of Presentation: Barcelona, Spain
• [Presentation] Image edge detection algorithm with a single grid system of coupled FitzHugh-Nagumo elements (2012)
  • Author(s): Nomura, A
  • Organizer: The 2012 International Workshop on Nonlinear Circuits, Communications and Signal Processing
  • Place of Presentation: Honolulu, Hawaii, USA
• [Presentation] Image halftoning with Turing patterns (2012)
  • Author(s): Atsushi Nomura
  • Organizer: International Conference on Evolutionary Computation Theory and Applications (ECTA)
  • Place of Presentation: Barcelona, Spain
• [Presentation] Image edge detection algorithm with a single grid system of coupled FitzHugh-Nagumo elements (2012)
  • Author(s): Nomura, A., Ichikawa, M., Okada, K., Sakurai, T., Mizukami, Y.
  • Organizer: 2012 International Workshop on Nonlinear CIrcuits, Communications and Signal Processing (NCSP'12)
  • Place of Presentation: Honolulu, Hawaii, USA
• [Presentation] Image edge detection with discretely spaced FitzHugh-Nagumo type excitable elements (2011)
  • Author(s): Nomura, A
  • Organizer: Joint INDS'11 & ISTET'11- Third International Workshop on Nonlinear Dynamics and Synchronization and Sixteenth International Symposium on Theoretical Electrical Engineering
  • Place of Presentation: Klagenfurt, Austria
• [Presentation] Anisotropic Reaction-Diffusion Stereo Algorithm (2011)
  • Author(s): Nomura, A., Ichikawa, M., Okada, K., Miike, H., Sakurai, T., Mizukami, Y.
  • Organizer: 11th International Conference on Intelligent Systems Design and Applications
  • Place of Presentation: Cordoba, Spain
• [Presentation] Image edge detection with discretely spaced FitzHugh-Nagumo type excitable elements (2011)
  • Author(s): Nomura, A., Ichikawa, M., Okada, K., Miike, H., Sakurai, T., Mizukami, Y.
  • Organizer: The Joint INDS'11 & ISTET'11 -- Third International Workshop on Nonlinear Dynamics and Synchronization (INDS'11) and Sixteenth International Symposium on Theoretical Electrical Engineering (ISTET'11)
  • Place of Presentation: Klagenfurt, Austria
• [Book] Chapter 21:Image edge detection and orientation selection with coupled nonlinear excitable elements,Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering, Studies in Computational Intelligence (2013)
  • Author(s): Nomura, A., Mizukami, Y., Okada, K., Ichikawa, M
  • Publisher: Springer
• [Book] Chapter 4: Stereo algorithm with anisotropic reaction-diffusion systems, Current Advancements in Stereo Vision (2012)
  • Author(s): Nomura, A., Okada, K., Miike, H., Mizukami, Y., Ichikawa, M., Sakurai, T
  • Publisher: InTech