radiotherapy treatment planning – Optimization Online

GPU-accelerated superiorization on constrained physical problems with SupPy

Published: 2026/07/03

Applications - OR and Management Sciences, Biomedical Applications, Constrained Nonlinear Optimization CT Image reconstruction, feasibility-seeking, Python SupPy, radiotherapy treatment planning, Seismic image reconstruction, superiorization method

The superiorization method (SM) is situated between feasibility-seeking and constrained optimization. Instead of aiming at the minimum of a given objective function over a constraint set, it seeks a feasible point at which the objective function value is reduced — though not necessarily minimal — compared to that reached by the feasibility-seeking algorithm alone. This … Read more

Continuous optimization of beamlet intensities for photon and proton radiotherapy

Published: 2004/12/08

Biomedical Applications impt, imrt, intensity modulated proton therapy, intensity-modulated radiation therapy, linear programming, nonlinear programming, optimization, radiotherapy treatment planning, spot-scanning technique

Inverse approaches and, in particular, intensity modulated radiotherapy (IMRT), in combination with the development of new technologies such as multi-leaf collimators (MLCs), have enabled new potentialities of radiotherapy for cancer treatment. The main mathematical tool needed in this connection is numerical optimization. In this article, the variety of continuous optimization approaches, which have been proposed … Read more