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Proceedings Paper

Projection Filter Regularization Of Ill-Conditioned Problem
Author(s): Hidemitsu Ogawa
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Paper Abstract

The usual regularization theory for posed ill-problem may be called the regularization of Weierstrass type in the context of approximation theory. On the contrary, this paper proposes the regularization of Chebyshev type, named the "projection filter regulariza-tion". In the absence of noise, the projection filter provides the best approximation Pf to the real solution f, where P is the orthogonal projection operator onto a subspace. In the presence of noise, it provides the best approximation to the individual Pf in the average sense with respect to noise. A general form of projection filter is obtained. Properties of projection filter are discussed in detail.

Paper Details

Date Published: 10 September 1987
PDF: 9 pages
Proc. SPIE 0808, Inverse Problems in Optics, (10 September 1987); doi: 10.1117/12.941482
Show Author Affiliations
Hidemitsu Ogawa, Tokyo Institute of Technology (Japan)


Published in SPIE Proceedings Vol. 0808:
Inverse Problems in Optics
Edward Roy Pike, Editor(s)

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