Open AccessCorrection

Correction: Zhang, G., et al. Shadow Detection and Restoration for Hyperspectral Images Based on Nonlinear Spectral Unmixing. Remote Sensing 2020, 12, 3985

Guichen Zhang

Daniele Cerra

and

Rupert Müller

Department of Photogrammetry and Remote Sensing, German Aerospace Center (DLR), 88234 Wessling, Germany

Author to whom correspondence should be addressed.

Remote Sens. 2021, 13(3), 473; https://doi.org/10.3390/rs13030473

Submission received: 22 January 2021 / Accepted: 25 January 2021 / Published: 29 January 2021

(This article belongs to the Special Issue Spectral Unmixing of Hyperspectral Remote Sensing Imagery)

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The authors would like to make the following correction of [1]:

Text Correction

In the original article, there was a mistake in Equation (8) as published. There should not be the third term

\sum_{i = 1}^{p - 1} \sum_{j = i + 1}^{p} a_{l, i} \cdot a_{l, j} \cdot e_{l, i} \cdot e_{l, j}

, as it is a repetition of the second term in Equation (7). The corrected Equation (8) appears below.

x = \sum_{i = 1}^{p} a_{l, i} \cdot e_{l, i} + \sum_{i = 1}^{p} a_{s, i} \cdot e_{s, i}

(8)

The authors apologize for any inconvenience caused and state that the scientific conclusions are unaffected. The original article has been updated.

In the original article, there was a mistake in Equations (9)–(11) as published. The underline symbol “_” should not be used to represent the subscript, because it is not a unified mathematical expression compared with other equations in the paper.

The corrected Equation (9) appears below.

x_{restore} = \sum_{i = 1}^{p} (a_{l, i} + a_{s, i}) \cdot e_{l, i} + \sum_{i = 1}^{p - 1} \sum_{j = i + 1}^{p} a_{l, i} \cdot a_{l, j} \cdot e_{l, i} \cdot e_{l, j}

(9)

The corrected Equation (10) appears below.

x = \sum_{i = 1}^{p} a_{s, i} \cdot e_{s, i}

(10)

The corrected Equation (11) appears below.

x = \sum_{i = 1}^{p} a_{l, i} \cdot e_{l, i} + \sum_{i = 1}^{p - 1} \sum_{j = i + 1}^{p} a_{l, i} \cdot a_{l, j} \cdot e_{l, i} \cdot e_{l, j}

(11)

The authors apologize for any inconvenience caused and state that the scientific conclusions are unaffected. The original article has been updated.

Acknowledgments

The authors would like to thank Paul Scheunders for pointing out the typos.

Conflicts of Interest

The authors declare no conflict of interest.

Reference

Zhang, G.; Cerra, D.; Müller, R. Shadow Detection and Restoration for Hyperspectral Images Based on Nonlinear Spectral Unmixing. Remote Sens. 2020, 12, 3985. [Google Scholar] [CrossRef]

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MDPI and ACS Style

Zhang, G.; Cerra, D.; Müller, R. Correction: Zhang, G., et al. Shadow Detection and Restoration for Hyperspectral Images Based on Nonlinear Spectral Unmixing. Remote Sensing 2020, 12, 3985. Remote Sens. 2021, 13, 473. https://doi.org/10.3390/rs13030473

AMA Style

Zhang G, Cerra D, Müller R. Correction: Zhang, G., et al. Shadow Detection and Restoration for Hyperspectral Images Based on Nonlinear Spectral Unmixing. Remote Sensing 2020, 12, 3985. Remote Sensing. 2021; 13(3):473. https://doi.org/10.3390/rs13030473

Chicago/Turabian Style

Zhang, Guichen, Daniele Cerra, and Rupert Müller. 2021. "Correction: Zhang, G., et al. Shadow Detection and Restoration for Hyperspectral Images Based on Nonlinear Spectral Unmixing. Remote Sensing 2020, 12, 3985" Remote Sensing 13, no. 3: 473. https://doi.org/10.3390/rs13030473

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Correction: Zhang, G., et al. Shadow Detection and Restoration for Hyperspectral Images Based on Nonlinear Spectral Unmixing. Remote Sensing 2020, 12, 3985

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