Coordinate transformations for BEAM/EGSnrc Monte ...

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Coordinate transformations for BEAM/EGSnrc Monte Carlo dose calculations of non-coplanar fields received from a DICOM-compliant treatment planning system

This content has been downloaded from IOPscience. Please scroll down to see the full text. 2007 Phys. Med. Biol. 52 4007 (http://iopscience.iop.org/0031-9155/52/13/C01) View the table of contents for this issue, or go to the journal homepage for more

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IOP PUBLISHING

PHYSICS IN MEDICINE AND BIOLOGY

doi:10.1088/0031-9155/52/13/C01

Phys. Med. Biol. 52 (2007) 4007

Corrigendum Coordinate transformations for BEAM/EGSnrc Monte Carlo dose calculations of noncoplanar fields received from a DICOM-compliant treatment planning system J Thebaut and S Zavgorodni 2006 Phys. Med. Biol. 51 N441–N449 In our recently published paper ‘Coordinate transformations for BEAM/EGSnrc Monte Carlo dose calculations of non-coplanar fields received from a DICOM-compliant treatment planning system’ a number of equations have a minus sign placed incorrectly. These errors are typographical and have no effect on the final equations and results presented in the paper. Correct equations are as follows. Equation (1) should read     1 0 0 1 0 0 A = 0 cos(90 − γ ) −sin(90 − γ ) = 0 sin(γ ) −cos(γ ) . (1) 0 sin(90 − γ ) cos(90 − γ ) 0 cos(γ ) sin(γ ) Equation (2) should read  cos(90 − ρ) 0 0 1 B= −sin(90 − ρ) 0 Equation (3) should read



sin(ρ) T = BA =  0 −cos(ρ)

  sin(90 − ρ) sin(ρ) = 0 0 cos(90 − ρ) −cos(ρ) cos(γ ) cos(ρ) sin(γ ) cos(γ ) sin(ρ)

 0 cos(ρ) 1 0 . 0 sin(ρ)

 sin(γ ) cos(ρ) −cos(γ )  . sin(γ ) sin(ρ)

(2)

(3)

Equation (5) should read

      Xbeam 0 −sin(γ ) cos(ρ) −−→  . cos(γ ) =T· 0  = (beam)TPS =  Ybeam  Zbeam TPS −1 EGS − sin(γ ) sin(ρ) TPS

Equation (9) should read     XColl sin(col) · sin(ρ) − cos(col) cos(γ ) · cos(ρ) −−→  . −cos(col) · sin(γ ) = (Coll)TPS = T ·  YColl  ZColl EGS −cos(col) · cos(γ ) · sin(ρ) − sin(col) · cos(ρ) TPS

0031-9155/07/134007+01$30.00 © 2007 IOP Publishing Ltd Printed in the UK

(5)

(9)

4007