Introducing the Jacobian-volume-histogram of deforming organs: Application to parotid shrinkage evaluation

Claudio Fiorino, Eleonora Maggiulli, Sara Broggi, Simone Liberini, Giovanni Mauro Cattaneo, Italo Dell'Oca, Elena Faggiano, Nadia Di Muzio, Riccardo Calandrino, Giovanna Rizzo

Research output: Contribution to journalArticlepeer-review


The Jacobian of the deformation field of elastic registration between images taken during radiotherapy is a measure of inter-fraction local deformation. The histogram of the Jacobian values (Jac) within an organ was introduced (JVH - Jacobian-volume-histogram) and first applied in quantifying parotid shrinkage. MVCTs of 32 patients previously treated with helical tomotherapy for head-neck cancers were collected. Parotid deformation was evaluated through elastic registration between MVCTs taken at the first and last fractions. Jac was calculated for each voxel of all parotids, and integral JVHs were calculated for each parotid; the correlation between the JVH and the planning dose-volume histogram (DVH) was investigated. On average, 82% (±17%) of the voxels shrinks (Jac <1) and 14% (±17%) shows a local compression >50% (Jac <0.5). The best correlation between the DVH and the JVH was found between V10 and V15, and Jac <0.4-0.6 (p <0.01). The best constraint predicting a higher number of largely compressing voxels (Jac0.5

Original languageEnglish
Pages (from-to)3301-3312
Number of pages12
JournalPhysics in Medicine and Biology
Issue number11
Publication statusPublished - Jun 7 2011

ASJC Scopus subject areas

  • Radiology Nuclear Medicine and imaging
  • Radiological and Ultrasound Technology


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