Title :
Mathematical modeling of anatomical structures by means of spherical harmonics
Author :
Richter, D. ; Abdellaoui, S. ; Bekkaoui, F. ; Monescu, V. ; Strassmann, G.
Author_Institution :
Univ. of Appl. Sci. of Wiesbaden, Wiesbaden
Abstract :
The mathematical description of moving anatomical structures is of increasing importance when dealing with tumor irradiation by particle beams. A mathematical description of the orientation of anatomical structures by principal inertia axes and of the shape by spherical harmonics is given. Structures of convex and concave shape are decomposed and reconstructed with index numbers Lmax = 10. Conformity of decomposed and reconstructed shape is measured by a similarity index. For irradiation therapy the influence of a security margin is considered. No significant improvement of conformity was found by using different coordinate systems for decomposition and reconstruction.
Keywords :
computerised tomography; image reconstruction; image segmentation; lung; medical image processing; physiological models; radiation therapy; tumours; 4D-CT data; anatomical structures; concave shape structures; convex shape structures; lung tumor; mathematical modeling; particle beam irradiation; principal inertia axes; shape decomposition; shape reconstruction; similarity index; spherical harmonics; structure segmentation; tumor movement; Anatomical structure; Image reconstruction; Image segmentation; Lung neoplasms; Mathematical model; Medical treatment; Particle beam measurements; Particle beams; Shape measurement; Tensile stress; 4D-CT data; Spherical harmonics; inertia tensor; lung tumor; similarity index; tumor movement;
Conference_Titel :
Biomedical Imaging: From Nano to Macro, 2008. ISBI 2008. 5th IEEE International Symposium on
Conference_Location :
Paris
Print_ISBN :
978-1-4244-2002-5
Electronic_ISBN :
978-1-4244-2003-2
DOI :
10.1109/ISBI.2008.4541084
