Now showing items 1-4 of 4
An Interior-Point Gradient Method for Large-Scale Totally Nonnegative Least Squares Problems
We study an interior-point gradient method for solving a class of so-called totally nonnegative least squares problems. At each iteration, the method decreases the residual norm along a diagonally scaled negative gradient ...
A Geometric Approach to Fluence Map Optimization in IMRT Cancer Treatment Planning
Intensity-modulated radiation therapy (IMRT) is a state-of-the-art technique for administering radiation to cancer patients. The goal of a treatment is to deliver a prescribed amount of radiation to the tumor, while limiting ...
Dose-Volume-Based IMRT Fluence Optimization: A Fast Least-Squares Approach With Differentiability
In intensity-modulated radiation therapy (IMRT) for cancer treatment, the most commonly used metric for treatment prescriptions and evaluations is the so-called dose volume constraint (DVC). These DVCs induce much needed ...
A Successive Linear Programming Approach to IMRT Optimization Problem
We propose to solve the IMRT optimization problem through a successive linear programming approach. Taking advantage of the sensitivity information in linear programming and the re-optimization ability of simplex methods, ...