# Shape Rectangularization Problems in Intensity-Modulated Radiation Therapy

@inproceedings{Chen2006ShapeRP, title={Shape Rectangularization Problems in Intensity-Modulated Radiation Therapy}, author={Danny Ziyi Chen and Xiaobo Sharon Hu and Shuang Luan and Ewa Misiolek and Chao Wang}, booktitle={ISAAC}, year={2006} }

- Published 2006 in ISAAC
DOI:10.1007/11940128_70

In this talk, we present a theoretical study of several geometric shape approximation problems, called shape rectangularization (SR), which arise in intensity-modulated radiation therapy (IMRT). Given a piecewise linear function f such that f(x) ≥ 0 for any x ∈ R, the SR problems seek an optimal set of constant window functions to approximate f under a certain error criterion, such that the sum of the resulting constant window functions equals (or well approximates) f . A constant window… CONTINUE READING