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An Introduction to the Theory of Optics by A. Schuster, J. Nicholson

By A. Schuster, J. Nicholson

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64) and (65). Jansson's 39 DECONVOLUTION IN SIGNAL SPACE algorithm is not directly representable as the convolution of the observed spectrum with a deconvolution filter due to the data dependence of an(y). While valuable for calculations, Eqs. (64) and (65) are not especially helpful in seeing what happens in the Van Cittert or modified deconvolution. If, however, we begin with Eq. (63) [the Van Cittert algorithm is contained in Eq. (63) if a, = 1] and define the function / such that (70) I® A =A for any A, we can rewrite Eq.

Of special interest are those papers by Frieden and Biraud listed in the Bibliography. The work of both Frieden and Biraud is directly comparable to that discussed in this monograph. Their approaches are considerably different yet the results are of comparable quality, especially in regard to resolution enhancement. Frieden's review is directly useful in spectroscopic studies, since the entire review is cast in one dimension instead of the usual two of 35 36 5. DECONVOLUTION IN SIGNAL SPACE picture processing.

Of special interest are those papers by Frieden and Biraud listed in the Bibliography. The work of both Frieden and Biraud is directly comparable to that discussed in this monograph. Their approaches are considerably different yet the results are of comparable quality, especially in regard to resolution enhancement. Frieden's review is directly useful in spectroscopic studies, since the entire review is cast in one dimension instead of the usual two of 35 36 5. DECONVOLUTION IN SIGNAL SPACE picture processing.

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