P. Siepen. Simplified method of testing for convergence in fractal image coding schemes. In Digital Compression Technologies and Systems for Video Communications, Naohisa Ohta (ed.), Volume 2952, Pages 664-674, 1996.
In fractal image coding the original image is approximated by an unique fixpoint of a contractive affine transformation. To ensure convergence at the decoder an eigenvalue calculation of the transformation matrix during the encoding process is necessary to admit scaling coefficients larger than one. Due to the huge dimension of the transformation matrix the eigenvalue calculation is in general computational infeasible. This paper presents amethod to reduce the dimension of this matrix dramatically. The result of this m ethod is a simple rule to create the reduced matrix directly without using the original matrix. Based on this rule a hierarchical method is presented, which allows to test rather general fractal coding schemes for convergence.
@InProceedings{Siep96,
Author = {Siepen, P.},
Title = {Simplified method of testing for convergence in fractal image coding schemes},
BookTitle = {Digital Compression Technologies and Systems for Video Communications},
editor = {Ohta, Naohisa},
Volume = {2952},
Pages = {664--674},
Series = {Proc. SPIE},
Month = {},
Year = {1996}
}