Image restoration by constrained total variation minimization and variants

Antonin Chambolle; Pierre-Louis Lions

doi:10.1117/12.218480

1 September 1995 Image restoration by constrained total variation minimization and variants

Antonin Chambolle, Pierre-Louis Lions

Proceedings Volume 2567, Investigative and Trial Image Processing; (1995) https://doi.org/10.1117/12.218480
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

We study a signal or image restoration method proposed by Rudin and Osher, namely, the constrained total variation (TV) minimization. This very powerful method gives excellent results on nearly piecewise constant signals, but fails on more complicated data. We propose a very general way to combine convex potentials like the TV, and in this setting we introduce a variant that performs better on piecewise regular--but non constant-- signals.

Citation Download Citation

Antonin Chambolle and Pierre-Louis Lions "Image restoration by constrained total variation minimization and variants", Proc. SPIE 2567, Investigative and Trial Image Processing, (1 September 1995); https://doi.org/10.1117/12.218480

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