Perspective-Transformation
Applying perspective transformation to a grayscale image
$$ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ A \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Warp \ Matrix \ \ \ B \
\begin{bmatrix} x_0 & y_0 & 1 & 0 & 0 & 0 & -x_0X_0 & -y_0X_0 \ 0 & 0 & 0 & x_0 & y_0 & 1 & -x_0Y_0 & -y_0Y_0 \ x_1 & y_1 & 1 & 0 & 0 & 0 & -x_1X_1 & -y_1X_1 \ 0 & 0 & 0 & x_1 & y_1 & 1 & -x_1Y_1 & -y_1Y_1 \ x_2 & y_2 & 1 & 0 & 0 & 0 & -x_2X_2 & -y_2X_2 \ 0 & 0 & 0 & x_2 & y_2 & 1 & -x_2Y_2 & -y_2Y_2 \ x_3 & y_3 & 1 & 0 & 0 & 0 & -x_3X_3 & -y_3X_3 \ 0 & 0 & 0 & x_3 & y_3 & 1 & -x_3Y_3 & -y_3Y_3 \end{bmatrix}
\begin{bmatrix} a_{11} \ a_{12} \ a_{13} \ a_{21} \ a_{22} \ a_{23} \ a_{31} \ a_{32} \end{bmatrix}
=
\begin{bmatrix}
X_{0} \
Y_{0} \
X_{1} \
Y_{1} \
X_{2} \
Y_{2} \
X_{3} \
Y_{3}
\end{bmatrix}
$$
Algorithm flowchart
| Algorithm flowchart of Perspective Transformation |
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Result
| Selected Old Region and New Region | Perspective Transformation |
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