In the note, several wavelet-based image processing algorithms are presented. Denoising algorithm is derived
from the Donoho's thresholding. Rescaling algorithm reuses
sub-division scheme of the Sweldens' lifting and
a sensor linearization procedure exploiting system identification algorithms developed for nonlinear dynamic
systems. Proposed autofocus algorithm is a passive one, works in wavelet domain and relies on properties of
lens transfer function. The common advantage of the algorithms is that they can easily be implemented within
the JPEG2000 image compression standard encoder, offering simplification of the final circuitry (or the software
package) and the reduction of the power consumption (program size, respectively) when compared to solutions based on separate components.