Mathematical modeling of anatomical structures by means of spherical harmonics

被引：0

作者：

Richter, D. ^{[1
]}

Abdellaoui, S. ^{[1
,2
]}

Bekkaoui, F. ^{[1
,2
]}

Monescu, V. ^{[1
,3
]}

Strassmann, G. ^{[2
]}

机构：

[1] Univ Appl Sci Wiesbaden, Wiesbaden, Germany

[2] Univ Marburg, Marburg, Germany

[3] Univ Tran Silvania Brasov, Brasov, Romania

来源：

2008 IEEE INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING: FROM NANO TO MACRO, VOLS 1-4 | 2008年

关键词：

spherical harmonics; tumor movement; lung tumor; inertia tensor; similarity index; 4D-CT data;

D O I：

10.1109/ISBI.2008.4541084

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

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 L-max = 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.

引用

页码：668 / +

页数：2

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