3D model-based vascular tree analysis using differential geometry

Kun Chang Yu, William E. Higgins, Erik L. Ritman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

16 Scopus citations

Abstract

Many modern medical imaging scanners produce high-resolution three-dimensional (3D) digital images of vascular trees. In this context, accurate definition of a vacular 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.

Original languageEnglish (US)
Title of host publication2004 2nd IEEE International Symposium on Biomedical Imaging
Subtitle of host publicationMacro to Nano
Pages177-180
Number of pages4
StatePublished - Dec 1 2004
Event2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano - Arlington, VA, United States
Duration: Apr 15 2004Apr 18 2004

Publication series

Name2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano
Volume1

Other

Other2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano
CountryUnited States
CityArlington, VA
Period4/15/044/18/04

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Yu, K. C., Higgins, W. E., & Ritman, E. L. (2004). 3D model-based vascular tree analysis using differential geometry. In 2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano (pp. 177-180). (2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano; Vol. 1).