Using Polynomial Approximation to Rectify Distorted Images

C. Ward (Trinidad and Tobago)


Polynomial approximation, interpolation, imagerectification and registration.


We report on the development of a global polynomial approximation algorithm for image rectification and registration. The approximation algorithm fits a linear combination of two-dimensional Chebyshev Polynomials to the sample points obtained from a test image. The algorithm converges on an approximation that exhibits "good" interpolation properties. The algorithm was successfully used to map pixel positions in unrectified images to object locations on a planar surface, thus demonstrating the practical utility of the algorithm.

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