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

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 $\sum _{i=1}^{p-1}\sum _{j=i+1}^p{a}_{l,i}·a_{l,j}·{\mathit{e}}_{\mathit{l},\mathit{i}}·{\mathit{e}}_{\mathit{l},\mathit{j}}$, as it is a repetition of the second term in Equation (7). The corrected Equation (8) appears below.

$$\mathit{x}={\displaystyle \sum }_{i=1}^p{a}_{l,i}·{\mathit{e}}_{\mathit{l},\mathit{i}}+{\displaystyle \sum }_{i=1}^p{a}_{s,i}·{\mathit{e}}_{\mathit{s},\mathit{i}}$$

(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.

$${\mathit{x}}_{\mathit{restore}}={\displaystyle \sum }_{i=1}^p\left(a_{l,i}+a_{s,i}\right)·{\mathit{e}}_{\mathit{l},\mathit{i}}+{\displaystyle \sum }_{i=1}^{p-1}{\displaystyle \sum }_{j=i+1}^p{a}_{l,i}·a_{l,j}·{\mathit{e}}_{\mathit{l},\mathit{i}}·{\mathit{e}}_{\mathit{l},\mathit{j}}$$

(9)

The corrected Equation (10) appears below.

$$\mathit{x}={\displaystyle \sum }_{i=1}^p{a}_{s,i}·{\mathit{e}}_{\mathit{s},\mathit{i}}$$

(10)

The corrected Equation (11) appears below.

$$\mathit{x}={\displaystyle \sum }_{i=1}^p{a}_{l,i}·{\mathit{e}}_{\mathit{l},\mathit{i}}+{\displaystyle \sum }_{i=1}^{p-1}{\displaystyle \sum }_{j=i+1}^p{a}_{l,i}·a_{l,j}·{\mathit{e}}_{\mathit{l},\mathit{i}}·{\mathit{e}}_{\mathit{l},\mathit{j}}$$

(11)

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