W. Skarbek. On convergence of affine fractal operators. Image Processing and Communications, 1(1):33-41, 1995.
The convergence of affine fractal operator F used in image compression is investigated. Effective sufficient conditions for eventual contractivity are presented. When F is not contractive, the notion of perceptual convergence is introduced and the codition for this convergence is stated. For the operator FQ which is a quantised version of F, the perceptual convergence is shown for a broad class of contractive fractal operators. For the operator FM which is a mean shifted version of F it is proved that in practical circumstances the same fixed point can be reached in only few iterations.
@article{Skar95,
Author = {Skarbek, W.},
Title = {On convergence of affine fractal operators},
Journal = {Image Processing and Communications},
Volume = {1},
Number = {1},
Pages = {33--41},
Year = {1995}
}