B. Hürtgen. Contractivity of fractal transforms for image coding. Electronics Letters, 29:1749-1750, 1993.
In this letter the contractivity of existing fractal transforms for use in image compression schemes is examined. The coding process is described as non-linear transformation in the finite dimensional euclidean vector space. We derive sufficient conditions for contractivity based on the spectral norm and the spectral radius of the transformation matrix. As a result bounds for the encoding parameters can be formulated which are tighter than the ones known so far.
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@article{Huer93,
Author = {Hürtgen, B.},
Title = {Contractivity of fractal transforms for image coding},
Journal = {Electronics Letters},
Volume = {29},
Pages = {1749--1750},
Year = {1993}
}