G. E. Øien, S. Lepsøy, T. Ramstad. An inner product space approach to image coding by contractive transformations. In Proceedings of ICASSP-1991 IEEE International Conference on Acoustics, Speech and Signal Processing, Pages 2773-2776, 1991.
This paper considers modelling of arbitrary digital grey tone images as the fixed points of contractive transformation is designed to exploit a form of image redundancy called pecewise self-similarity. Results from inner product space theory are used to optimize the transformation within a class of affine transformations. The resulting transformation is described by a small amount of information compared to the original image, and its piecewisely self-similar fixed point, found by successively iterating the transformation from any initial image, is close to the original image. Results are improved compared to earlier results with this technique.
@InProceedings{OiLeRa91,
Author = {Øien, G. E. and Lepsøy, S. and Ramstad, T.},
Title = {An inner product space approach to image coding by contractive transformations},
BookTitle = {Proceedings of ICASSP-1991 IEEE International Conference on Acoustics, Speech and Signal Processing},
Pages = {2773--2776},
Year = {1991}
}