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R. Davidi

4 papers

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papers

Publications (4)

math.OC2014

Feasibility-Seeking and Superiorization Algorithms Applied to Inverse Treatment Planning in Radiation Therapy

R. Davidi, Y. Censor, R. W. Schulte +2

We apply the recently proposed superiorization methodology (SM) to the inverse planning problem in radiation therapy. The inverse planning problem is represented here as a constrai…

math.OC2012

Superiorization: An optimization heuristic for medical physics

G. T. Herman, E. Garduño, R. Davidi +1

Purpose: To describe and mathematically validate the superiorization methodology, which is a recently-developed heuristic approach to optimization, and to discuss its applicability…

math.OC2009

On the Effectiveness of Projection Methods for Convex Feasibility Problems with Linear Inequality Constraints

Y. Censor, W. Chen, P. L. Combettes +2

The effectiveness of projection methods for solving systems of linear inequalities is investigated. It is shown that they have a computational advantage over some alternatives and…

math.OC2010

Perturbation Resilience and Superiorization of Iterative Algorithms

Y. Censor, R. Davidi, G. T. Herman

Iterative algorithms aimed at solving some problems are discussed. For certain problems, such as finding a common point in the intersection of a finite number of convex sets, there…

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