2002 Fiscal Year Final Research Report Summary
Construction of Regularized Parametric Projection Filters
| Project/Area Number |
13680381
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
計算機科学
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| Research Institution | HOKKAIDO UNIVERSITY |
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Principal Investigator |
MIYAKOSHI Masaaki Hokkaido Univ., Grad. School of Eng., Prof., 大学院・工学研究科, 教授 (20125355)
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| Co-Investigator(Kenkyū-buntansha) |
IMAI Hideyuki Hokkaido Univ., Grad. School of Eng., Ass.-Prof., 大学院・工学研究科, 助教授 (10213216)
TANAKA Akira Hokkaido Univ., Grad. School of Eng., Inst., 大学院・工学研究科, 助手 (20332471)
KAWAGUCHI Mayuka Hokkaido Univ., Grad. School of Eng., Ass.-Prof., 大学院・工学研究科, 助教授 (30214620)
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| Project Period (FY) |
2001 – 2002
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| Keywords | Image restoration / Regularizations / Projection filters / Choice of parameters / Parametric projection filter-families |
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| Research Abstract |
Functional Analysis-Theoretical developments of Image Restoration Problems carried on, and many filter-families such as Projection Filter- and Parametric Projection Filter-families were proposed. In practice, since the fidelity of restored images to original images depends on the stability of used restoration filters, it is very important to strengthen their robustness.
The study is to introduce a new filter-family that is robust against the perturbation of degraded processes for the parametric projection filter-family with less calculations and high fidelity. In the two-years term of project, we proposed the following three restoration filter-families and confirmed their effectiveness by numerical simulations :
Regularized Parametric Projection Filter-Family, M-N-Norm Parametric Projection Filter-Family, and Signal Adaptive Parametric Projection Filter-Family.
Moreover, we introduced a criterion to choose perturbation, parametric and regularized parameters. The criterion makes us possible to choose the optimal, parameter of Parametric Projection Filter-family in a sense, and it results in the higher fidelity of restored images.
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