M. D. Ruiz-Medina
October 6, 2009
Fractal Gaussian models play a crucial role in image analysis applications (e.g. biophysics, geophysics, medical imaging data). In this paper, the filtering and reconstruction problems for noisy and blurred homogeneous and heterogeneous fractal functional image sequence data are studied. Specifically, conditions under which a stable solution to these problems is obtained are derived by applying spectral and perturbation theories for fractal and multifractional pseudodifferential operators. Numerical examples are provided to illustrate the obtained results.