An adaptive reconstruction method involving discontinuities

A novel deterministic reconstruction method preserving discontinuities is presented. This method is based on a Markov random field image model, coupled with a line-process. The reconstruction method uses a deterministic and adaptive relaxation algorithm. This algorithm is presented for single photon emission computed tomography (SPECT) reconstruction, but can also be applied to a large class of inverse problems in image processing. The experimental results are very promising. The proposed method is robust to noise and yields good results. The reconstructed images are composed of smooth areas, bordered by sharp edges.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>