Study of Ill-conditioning of Linac Stereotactic Irradiation Subspaces using Singular Values Decomposition Analysis

Authors

  • Kalliopi Platoni From the Medical Physics Unit, Radiation Oncology Department, Tenon Hospital, Paris, France
  • Dimitri Lefkopoulos From the Medical Physics Unit, Radiation Oncology Department, Tenon Hospital, Paris, France
  • Pascal Grandjean From the Medical Physics Unit, Radiation Oncology Department, Tenon Hospital, Paris, France
  • Michel Schlienger From the Medical Physics Unit, Radiation Oncology Department, Tenon Hospital, Paris, France

DOI:

https://doi.org/10.1080/028418699431168

Abstract

A Linac stereotactic irradiation space is characterized by different angular separations of beams because of the geometry of the stereotactic irradiation. The regions of the stereotactic space characterized by low angular separations are one of the causes of ill-conditioning of the stereotactic irradiation inverse problem. The singular value decomposition (SVD) is a powerful mathematical analysis that permits the measurement of the ill-conditioning of the stereotactic irradiation problem. This study examines the ill-conditioning of the stereotactic irradiation space, provoked by the different angular separations of beams, using the SVD analysis. We subdivided the maximum irradiation space (MIS: (AA)AP

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Published

1999-01-01

How to Cite

Platoni, K., Lefkopoulos, D., Grandjean, P., & Schlienger, M. (1999). Study of Ill-conditioning of Linac Stereotactic Irradiation Subspaces using Singular Values Decomposition Analysis. Acta Oncologica, 38(5), 581–590. https://doi.org/10.1080/028418699431168

Issue

Vol. 38 No. 5 (1999): Acta Oncologica

Section

Articles