Geometric Correction Using Polynomial Transformation (First-Order Terms)
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The geometric correction method described in this article is based on polynomial transformation (first-order terms). The correction process employs the inverse solution approach, which involves coordinate transformation to map four known points from the source image to corresponding points in the target image. This mapping generates a system of transformation equations, from which the transformation matrix is derived by solving the equation system. For resampling, we utilize bilinear interpolation - a distance-based interpolation method that maintains grayscale continuity while achieving smooth image transitions. Implementation typically requires calculating weighted averages of four neighboring pixels based on their relative distances to the target coordinate.
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