TY - JOUR
T1 - Iterative Methods of Richardson-Lucy-Type for Image Deblurring
AU - M. K. Khan, S. Morigi, L. Reichel & F. Sgallari
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 1
SP - 262
EP - 275
PY - 2013
DA - 2013/06
SN - 6
DO - http://doi.org/10.4208/nmtma.2013.mssvm14
UR - https://global-sci.org/intro/article_detail/nmtma/5903.html
KW - Constrained ill-posed problem, nonnegativity, active set method, image restoration
AB - <p style="text-align: justify;">Image deconvolution problems with a symmetric point-spread function arise in
many areas of science and engineering. These problems often are solved by
the Richardson-Lucy method, a nonlinear iterative method. We first show a
convergence result for the Richardson-Lucy method. The proof sheds light on
why the method may converge slowly. Subsequently, we describe an iterative
active set method that imposes the same constraints on the computed solution
as the Richardson-Lucy method. Computed examples show the latter method to
yield better restorations than the Richardson-Lucy method and typically
require less computational effort.</p>