Blind image deconvolution with spatially adaptive total variation regularization: erratum

Luxin Yan; Houzhang Fang; Sheng Zhong

doi:10.1364/OL.39.001353

Abstract

Equations (12) and (13) in a previous Letter [Opt. Lett. 37, 2778 (2012)] were incorrect due to a mistake in writing and are modified here.

The authors of [1] would like to point out that they made a mistake in writing Eqs. (12) and (13) on page 2779 in [1]; however, the implementation of the proposed algorithm in [1] is correct. Equations (12) and (13) should have read as follows:

h_{t}^{(n + 1)} (x) = h^{(n)} (x) {o^{(n)} (- x) * [\frac{i (x)}{h^{(n)} (x) * o^{(n)} (x)}]}, h^{(n + 1)} (x) = \frac{h_{t}^{(n + 1)} (x)}{\sum_{x} h_{t}^{(n + 1)} (x)},

o^{(n + 1)} (x) = o^{(n)} (x) {h^{(n + 1)} (- x) * [\frac{i (x)}{h^{(n + 1)} (x) * o^{(n)} (x)}]} \times \frac{1}{1 - \frac{λ}{1 + β D (x)} div (\frac{\nabla o^{(n)} (x)}{| \nabla o^{(n)} (x) |})} .

Reference

1. L. Yan, H. Fang, and S. Zhong, Opt. Lett. 37, 2778 (2012).

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Equations (2)

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h_{t}^{(n + 1)} (x) = h^{(n)} (x) {o^{(n)} (- x) * [\frac{i (x)}{h^{(n)} (x) * o^{(n)} (x)}]}, h^{(n + 1)} (x) = \frac{h_{t}^{(n + 1)} (x)}{\sum_{x} h_{t}^{(n + 1)} (x)},

o^{(n + 1)} (x) = o^{(n)} (x) {h^{(n + 1)} (- x) * [\frac{i (x)}{h^{(n + 1)} (x) * o^{(n)} (x)}]} \times \frac{1}{1 - \frac{λ}{1 + β D (x)} div (\frac{\nabla o^{(n)} (x)}{| \nabla o^{(n)} (x) |})} .

Abstract

Reference

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Equations (2)

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