Morse theoretic design of neuromorphic touch counters
| Project/Area Number |
26520202
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 特設分野 |
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| Research Field |
Mathematical Sciences in Search of New Cooperation
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| Research Institution | Kwansei Gakuin University (2015-2016)
Tohoku University (2014) |
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Principal Investigator |
Miura Keiji 関西学院大学, 理工学部, 准教授 (60520096)
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| Co-Investigator(Kenkyū-buntansha) |
中田 一紀 広島市立大学, 情報科学研究科, 特任助教 (40404107)
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| Project Period (FY) |
2014-07-18 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2015: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| 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 / タッチスクリーン / モース理論 / Poincare-Hopf指数 / Applied Topology / Touch Counter / Neural Networks / Euler Calculus |
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| 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.
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Report
(4 results)
Research Products
(32 results)
