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SU‐E‐J‐34: Tensor‐Based Measure of Tumor Deformation
Author(s) -
Michalski D,
Bednarz G,
Huq M,
Heron D
Publication year - 2011
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.3611802
Subject(s) - deformation (meteorology) , displacement field , voxel , geometry , displacement (psychology) , infinitesimal strain theory , image registration , orientation (vector space) , tensor (intrinsic definition) , jacobian matrix and determinant , rotation (mathematics) , mathematics , mathematical analysis , physics , artificial intelligence , phase (matter) , computer science , image (mathematics) , finite element method , psychology , quantum mechanics , meteorology , psychotherapist , thermodynamics
Purpose: To present a tensorial based method for evaluation of tumor deformation. Method and Materials:Image registration provides a displacement field for each voxel and as such provides also a deformation field. The Jacobian of the deformation field reveals the volume changes. However even with Jacobian =1, a voxel might deform. We use the Green‐St Venan strain tensor to quantify the tumor deformation. The tensor is obtained with the in‐house implemented elastic image registration. The Gaussian Pyramid of registered CT volumes allows for speedup of the registration as well as for addressing larger displacement. We use retrospectively ten cases of lung cancer patients for whom a pre‐tretamnt 4 DCT was obtained. The use of the tensor allows for factoring out rotation and translation. This in turns allows for the measurement of the pure deformation. Results: Only three GTVs were observed to deform between phase 50 and phase 0. The relative maximal shape change as quantified by the average ratio of the tensorial elipsoid radii was 30%. The average tumor motion for the cases was 1.6 cm. Conclusion: The method allows for improved measurement of intra fractional tumor deformation as contrasted with methods based on contour or volume comparison. It can be adopted to the measurement of the inter fractional changes in tumor shape and size if relevant CT scans are available.