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Quasi-Newton approach to nonnegative image restorations. (English) Zbl 0960.65071
Efficient implementations for three nonnegatively constrained image restoration schemes are introduced: constrained least squares, maximum likelihood, and maximum entropy. With a certain parametrization and using a quasi-Newton method, these algorithms become very similar. Numerical experiments show that the new approach is superior to the popular expectation maximizing method with regard to both accuracy and efficiency.

MSC:
65K05 Numerical mathematical programming methods
90C20 Quadratic programming
68U10 Computing methodologies for image processing
90C53 Methods of quasi-Newton type
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