Morse theoretic design of neuromorphic touch counters

2016 Fiscal Year Final Research Report

• Project/Area Number: 26520202
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 特設分野
• Research Field: Mathematical Sciences in Search of New Cooperation
• Research Institution: Kwansei Gakuin University (2015-2016); Tohoku University (2014)
• Principal Investigator: Miura Keiji 関西学院大学, 理工学部, 准教授 (60520096)
• Project Period (FY): 2014-07-18 – 2017-03-31
• Keywords: 位相幾何学 / タッチセンサー / オイラー積分 / ポアンカレ・ホップ指数

Outline of Final Research Achievements

We developed a touch screen which can count touches irrespective of the hand shapes and positions. So we utilized the mathematics of topological invariants under continuous morphings. Especially, we developed the algorithms utilizing (1) Poincare-Hopf index, and (2) Euler calculus, for two strains of our topological touch counters.

Free Research Field

計算論的神経科学、応用数学