Title :
Contractivity of fractal transforms for image coding
Author_Institution :
Inst. of Commun. Eng., Aachen Univ. of Technol., Germany
Abstract :
The author examines the contractivity of existing fractal transforms for use in image compressions schemes. The coding process is described as nonlinear transformation in the finite-dimensional Euclidean vector space. Sufficient conditions are derived 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 those ones known so far.
Keywords :
data compression; fractals; image coding; matrix algebra; transforms; contractivity; encoding parameters; finite-dimensional Euclidean vector space; fractal transforms; image coding; image compressions schemes; nonlinear transformation; spectral norm; spectral radius; transformation matrix;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19931165
