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3D model-based vascular tree analysis using differential geometry

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3 Author(s)
Kun-Chang Yu ; Dept. of Electr. Eng., Pennsylvania State Univ., University Park, PA, USA ; W. E. Higgins ; E. L. Ritman

Many modern medical imaging scanners produce high-resolution three-dimensional (3D) digital images of vascular trees. In this context, accurate definition of a vascular tree's central axes and associated branch points remains a problem. We propose a method for accurate sub-voxel-level central-axis definition and branch-point localization. The method starts by deriving a sub-voxel-level polygonal surface model of the vascular tree from a given 3D image; the polygonal surface model is derived from a combination of a segmented image and the original gray-scale image data. Next, topographic analysis, based on differential geometry concepts, is performed on the surface model to arrive at a set of axes and branch points. Using 3D micro-CT images, we apply the method to a graphics-based tree-analysis system and demonstrate the method's efficacy at defining a set of central axes and at accurately localizing branch points.

Published in:

Biomedical Imaging: Nano to Macro, 2004. IEEE International Symposium on

Date of Conference:

15-18 April 2004