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A maximum likelihood proton path formalism for application in proton computed tomography
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10.1118/1.2986139
/content/aapm/journal/medphys/35/11/10.1118/1.2986139
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/35/11/10.1118/1.2986139

Figures

Image of FIG. 1.
FIG. 1.

Scattering geometry in the plane.

Image of FIG. 2.
FIG. 2.

Geometry of the GEANT4 simulation. The incident beam has no width in the plane and a uniform fan distribution in the plane.

Image of FIG. 3.
FIG. 3.

Examples of off-axis oblique Monte Carlo proton tracks (bold) and MLP output (solid line) with associated 2 (dash-dash-dash) and (dash-dot-dash) error envelopes. The top two Monte Carlo tracks underwent MCS only and lie completely within the error envelopes. The bottom example shows a proton that underwent an elastic nuclear collision and falls outside both error envelopes.

Image of FIG. 4.
FIG. 4.

Root-mean-square (rms) error in lateral displacement in the plane between the path approximation formula and associated Monte Carlo track as a function of depth in water for 3000 GEANT4 proton histories. Error bars were not included for the rms multiple scattering and cuts plots, as the errors were negligible.

Tables

Generic image for table
TABLE I.

Results of the polynomial fit to the average value of . The units are divided by appropriate powers of cm.

Generic image for table
TABLE II.

Summary of the effect of applying various cuts on the MLP performance. Note that if at any stage through the water cube a track was found to have a greater error than the width of a envelope, it was identified as falling outside the error envelope.

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/content/aapm/journal/medphys/35/11/10.1118/1.2986139
2008-10-13
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A maximum likelihood proton path formalism for application in proton computed tomography
http://aip.metastore.ingenta.com/content/aapm/journal/medphys/35/11/10.1118/1.2986139
10.1118/1.2986139
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