On interpolation of differentially structured images

@article{Kirshner2007OnIO,
  title={On interpolation of differentially structured images},
  author={Hagai Kirshner and Moshe Porat},
  journal={2007 15th European Signal Processing Conference},
  year={2007},
  pages={1789-1793}
}
A vector space approach to image reconstruction is derived and introduced. The continuous-domain image is assumed to belong to a reproducing kernel Hilbert space and the sampling process is shown to correspond to an appropriate orthogonal projection. The values at the interpolating grid are shown to correspond to a set of inner product calculations, giving rise to a minimax solution for an ℓ2 approximation problem. A tight upper bound on the ensued error is then derived and demonstrated… CONTINUE READING

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