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Title of Journal: Numer Algor

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Abbravation: Numerical Algorithms

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Springer US

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DOI

10.1007/s00229-004-0468-7

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1572-9265

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A new constrained total variational deblurring mod

Authors: Bryan Michael Williams Ke Chen Simon P Harding
Publish Date: 2015/02/21
Volume: 69, Issue: 2, Pages: 415-441
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Abstract

Although image intensities are nonnegative quantities imposing positivity is not always considered in restoration models due to a lack of simple and robust methods of imposing the constraint This paper proposes a suitable exponential type transform and applies it to the commonlyused total variation model to achieve implicitly constrained solution positivity at its lower bound and a prescribed intensity value at the upper bound Further to establish convergence a convex model is proposed through a relaxation of the transformed functional Numerical algorithms are presented to solve the resulting nonlinear partial differential equations Test results show that the proposed method is competitive when compared with existing methods in simple cases and more superior in other cases

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