专题三：基于色度的单幅图像镜面反射分量的分离——色度
双色反射模型如下：
$$\mathbf{I\left ( p \right )} = m_{d}\left ( p \right )\mathbf{I_{d}\left ( p \right )}+m_{s}\left ( p \right )\mathbf{I_{s}}\quad\quad\left ( 1 \right )$$
先给出色度的概念：
$$\begin{align*}
\mathbf{C\left ( p \right )}&=\frac{\mathbf{I\left ( p \right )}}{I_{b}\left ( p \right )+I_{g}\left ( p \right )+I_{r}\left ( p \right )}\\\\
&=\begin{bmatrix}
\frac{I_{b}\left ( p \right )}{I_{b}\left ( p \right )+I_{g}\left ( p \right )+I_{r}\left ( p \right )}, &\frac{I_{g}\left ( p \right )}{I_{b}\left ( p \right )+I_{g}\left ( p \right )+I_{r}\left ( p \right )}, & \frac{I_{r}\left ( p \right )}{I_{b}\left ( p \right )+I_{g}\left ( p \right )+I_{r}\left ( p \right )}
\end{bmatrix}\\\\
&=\begin{bmatrix}
C_{b}\left ( p \right ) &C_{g}\left ( p \right ) & C_{r}\left ( p \right )
\end{bmatrix}\quad\quad\left ( 2 \right )
\end{align*}$$