Wavelet Use for Image Restoration

The interdisciplinary area of digital signal and image processing forms a basis for de-noising, enhancement, recovery and classification of biomedical images. The paper is devoted to the wavelet transform as a general mathematical tool and its use for image decomposition and reconstruction to recover its corrupted regions. The main part of the paper is devoted to image decomposition, thresholding and reconstruction to reject specific image components. A special attention is paid to recovery of image regions using iterated wavelet decomposition and reconstruction. All algorithms are verified for simulated images and then applied to biomedical images obtained by magnetic resonance. The Matlab programming environment has been used to realize the algorithms and to obtain the presented results.