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The Jacobian as a measure of planar dose congruence.

Authors
Type
Published Article
Journal
Medical Physics
0094-2405
Publisher
Wiley Blackwell (John Wiley & Sons)
Publication Date
Volume
35
Issue
11
Pages
4967–4973
Identifiers
PMID: 19070230
Source
Medline

Abstract

We propose a new starting point for comparing planar dose distributions using a Jacobian-based measure. The measure is normalization independent, i.e., is sensitive to dose patterns while not being biased by global dose scaling. The measure is free of tunable parameters and is bounded between zero and one. We also propose an integrated version of the measure, normalized over the integrated area: the Jacobian index. We demonstrate analytically and verified numerically that the Jacobian index tends to a unique value of 2/pi when comparing unrelated dose distributions. We present a preliminary demonstration of the sensitivity and general characteristics of this measure. Examples of intensity modulated photon dose distributions from a linac as predicted with the convolution-superposition algorithm for various scenarios of irradiation mismatch and a film measured distribution are compared.

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