1,721,017 research outputs found
Block-iterative and string-averaging projection algorithms in proton computed tomography image reconstruction
No full textScott N. Penfold, Reinhard W. Schulte, Yair Censor, Vladimir Bashkirov, Scott McAllister, Keith E. Schubert, and Anatoly B. Rosenfel
Weak and Strong Superiorization: Between Feasibility-Seeking and Minimization
No full textAbstract
We review the superiorization methodology, which can be thought of, in some cases, as lying between feasibility-seeking and constrained minimization. It is not quite trying to solve the full edged constrained minimization problem; rather, the task is to find a feasible point which is superior (with respect to an objective function value) to one returned by a feasibility-seeking only algorithm. We distinguish between two research directions in the superiorization methodology that nourish from the same general principle: Weak superiorization and strong superiorization and clarify their nature.</jats:p
Mathematical Aspects of Radiation Therapy Treatment Planning: Continuous Inversion Versus Full Discretization and Optimization Versus Feasibility
No full text
Weak and Strong Superiorization: Between Feasibility-Seeking and Minimization
Full text linkWe review the superiorization methodology, which can be thought of, in some cases, as lying between feasibility-seeking and constrained minimization. It is not quite trying to solve the full fledged constrained minimization problem; rather, the task is to find a feasible point which is superior (with respect to an objective function value) to one returned by a feasibility-seeking only algorithm. We distinguish between two research directions in the superiorization methodology that nourish from the same general principle: Weak superiorization and strong superiorization and clarify their nature
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