Algorithm 1. Obtain the optimal parameters of the model

Input: The output of rain and mist model $\left\{\widehat{B_r^{\left\{t\right\}}}\right\}$ 1: for i = 1 to epoch do: 2:  for j = 1 to batchnum do: 3:   Convolution of $\left\{\widehat{B_r^{\left\{t\right\}}}\right\}$ by Equations (10)–(13) to get $\left\{Y_1^{\left\{t\right\}}\right\}$, $\left\{S_1^{\left\{t\right\}}\right\}$, $\left\{W_1^{\left\{t\right\}}\right\}$, $\left\{Q_1^{\left\{t\right\}}\right\}$. 4:    Concat $\left\{S_1^{\left\{t\right\}}\right\}$, $\left\{W_1^{\left\{t\right\}}\right\}$, $\left\{Q_1^{\left\{t\right\}}\right\}$ with $\left\{\widehat{B_r^{\left\{t\right\}}}\right\}$ to get $\left\{C_1^{\left\{t\right\}}\right\}$. 5:    Convolve $\left\{C_1^{\left\{t\right\}}\right\}$ with Equations (14)–(16) to get $\left\{S_2^{\left\{t\right\}}\right\}$, $\left\{W_2^{\left\{t\right\}}\right\}$, $\left\{Q_2^{\left\{t\right\}}\right\}$. 6:    $\left\{O_1^{\left\{t\right\}}\right\}$, $\left\{S_2^{\left\{t\right\}}\right\}$, $\left\{W_2^{\left\{t\right\}}\right\}$, $\left\{Q_2^{\left\{t\right\}}\right\}$ and $\left\{\widehat{B_r^{\left\{t\right\}}}\right\}$ are convolved by Equation (17) to obtain $\left\{\widehat{X_r^{\left\{t\right\}}}\right\}$. 7:    Update the intermediate parameters by loss functions Equations (18)–(19) 8:  end for 9. end for Output: The learned optimal parameters.