Direct linear Transformation (DLT) for solving single-response matrices

In the image stitching, we get the feature matching of two images, and the two point sets are recorded as X x and X′x ' respectively. The relationship between the two is fitted by the single-response transformation, which can be expressed as
C⎛⎝⎜uv1⎞⎠⎟=h⎛⎝⎜xy1⎞⎠⎟ (1) C\begin{pmatrix}u\\v\\1\end{pmatrix}=h\begin{pmatrix}x\\y\\1\end{pmatrix} (1)
where (UV1) T \begin{pmatrix}u&v&1\end{pmatrix}^t is the coordinate of the feature point in X′x ', (xy1) T \begin{pmatrix}x&y&1\end{pmatrix }^t is the coordinate of the feature point in X x, and H H is the single-response matrix, which represents the transformation relationship between them.

H h is a 3x3 matrix with 8 degrees of freedom, so there are 8 unknown parameters to be asked,
h=⎡⎣⎢h1h4h7h2h5h8h