3D model-based vascular tree analysis using differential geometry

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

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

16 Citations (Scopus)

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: Macro to Nano
Pages177-180
Number of pages4
Volume1
StatePublished - 2004
Event2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano - Arlington, VA, United States
Duration: Apr 15 2004Apr 18 2004

Other

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

Fingerprint

Geometry
Medical imaging

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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 (Vol. 1, pp. 177-180)
Yu, Kun Chang ; Higgins, William Evan ; Ritman, Erik L. / 3D model-based vascular tree analysis using differential geometry. 2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano. Vol. 1 2004. pp. 177-180
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Yu, KC, Higgins, WE & Ritman, EL 2004, 3D model-based vascular tree analysis using differential geometry. in 2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano. vol. 1, pp. 177-180, 2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano, Arlington, VA, United States, 4/15/04.

3D model-based vascular tree analysis using differential geometry. / Yu, Kun Chang; Higgins, William Evan; Ritman, Erik L.

2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano. Vol. 1 2004. p. 177-180.

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

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AB - 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.

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Yu KC, Higgins WE, Ritman EL. 3D model-based vascular tree analysis using differential geometry. In 2004 2nd IEEE International Symposium on Biomedical Imaging: Macro to Nano. Vol. 1. 2004. p. 177-180