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Transactions of the Institute of Measurement and Control
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Application of a least-squares parameter estimation approach for 2-D spatial modelling of compensators for intensity-modulated radiotherapy

J. Meyer

Control Theory and Applications Centre, Coventry University, Priory Street, Coventry CV1 5FB, UK, j-meyer-{at}web.de

K. J. Burnham

Control Theory and Applications Centre, Coventry University, Priory Street, Coventry CV1 5FB, UK

O. C.L. Haas

Control Theory and Applications Centre, Coventry University, Priory Street, Coventry CV1 5FB, UK

J. A. Mills

Walsgrave Hospitals NHS Trust, Clifford Bridge Road, Coventry CV2 2DX, UK

E. M. Parvin

Department of Physics, University of Warwick, Coventry CV4 7AL, UK

A spatial modelling technique is presented to model inversely the attenuation behaviour of poly-energetic high-energy photon beams within a metal compensator for intensity-modulated radiotherapy. The algorithm aims to predict modulators (compensators), which produce an intended intensity-modulated beam after the beam has passed through the metal. The proposed method considers two spatial dimensions and is based on a least-squares approach. The nonlinear system is modelled by means of an initial 2-D spatial model, which is linear in the parameters, and which takes into account primary and scattered radiation. This model is then refined and simplified resulting in a rotational-symmetrical 2-D spatial representation, which reduces the calculation time and makes the model more generally applicable. Compared with other techniques, it is not necessary to know the linear absorption coefficient of the compensator material.

Key Words: 2-D spatial modelling • compensator • intensity-modulated radiotherapy • least-squares parameter estimation • system identification

Transactions of the Institute of Measurement and Control, Vol. 24, No. 5, 369-386 (2002)
DOI: 10.1191/0142331202tm068oa
Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us   Add to Digg Digg   Add to Reddit Reddit   Add to Technorati Technorati    What's this?