Applications of Reproducing kernel theory and its new development in engineering and medical science
| Project/Area Number |
26400192
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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 | 一般 |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | Gunma University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
齋藤 三郎 群馬大学, その他部局等, 名誉教授 (10110397)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| Keywords | 再生核理論 / 逆問題 / 数値計算 / 正則化 / 積分方程式 / アルゴリズム / 離散化 / 再生核 / ゼロ除算 |
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| Outline of Final Research Achievements |
We developed a new type of Tikhonov regularization combined with the theory of reproducing kernels. Using our method of regularization we have challenged some famous and historically difficult inverse problems. Furthermore we constructed concrete algorithms for solving those problems and confirmed their effectiveness by numerical experiments. Especially, we tried new approach to the field of medical science. Specifically, we published 2 papers and presented 3 papers in Medical Sciences (Microscopic Image of Podocyte and Cochlear cells) and we published 9 papers and presented 18 papers in Mathematical Sciences (general reproducing kernels and division by zero).
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Report
(4 results)
Research Products
(36 results)
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[Presentation] 糸球体上皮細胞画像における足突起領域の自動抽出2016
Author(s)
元川嵩介, 松浦勉
Organizer
International Conference on Advanced Engineering and Its Education in 2016
Place of Presentation
Kiryu Chamber of Commerce and Industry, Keivick Hall
Year and Date
2016-10-13
Related Report
Int'l Joint Research
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