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Image restoration subject to surface area or arc length constraints

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Abstract

The restoration of edges is often degraded by spurious oscillations (Gibbs phenomenon). Constraining the restoration surface area or arc length is an effective method of suppressing these oscillations. Results of iterative restorations using both arc length and positivity constraints show edge gradients that can be enhanced by 5:1 over those of the image, while spurious oscillations can be nearly eliminated.

© 1977 Optical Society of America

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Corrections

Eric G. Hawman, "Erratum," J. Opt. Soc. Am. 67, 576-576 (1977)
https://opg.optica.org/josa/abstract.cfm?uri=josa-67-4-576

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