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Estimating the vessel parameters using a three-dimensional local fan transform

A.V. Kupriyanov1,2, N.Y. Ilyasova1,2, A.G. Khramov1,2, A.M. Malafeev2, O.A. Titova2
1Image Processing Systems Institute of RAS
2Samara State Aerospace University

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Pages: 154-157.

Abstract:
The article deals with a three-dimensional local fan transform within the problem of identifying the structure of a tree-like object. This transform is a modification of the ray transform reduced to a form that is convenient for the analysis of tree-like structures. A method of determining the vessel branch direction is developed on the basis of the proposed transform. The article also describes a method of determining the vessel structure. The proposed methods and algorithms are investigated experimentally.

Keywords:
tree-like object, ray transform, vessel branch, vessel structure.

Citation:
Kupriyanov AV, Ilyasova NY, Khramov AG, Malafeev AM, Titova OA. Estimating the vessel parameters using a three-dimensional local fan transform. Computer Optics 2003; 25: 154-157.

References:
  1. de Bates RHT, McDonnell MJ. Image restoration and reconstruction. Oxford: Oxford University Press; 1986.
  2. Baranov VG, Khramov AG. Discrete radial Radon transform in the problem of detection of the centers of cross-linking branches. Computer Optics 2001; 23: 44-47.
  3. Herman GT, Natterer F. Mathematical aspects of computerized tomography. Berlin, Heidelberg, New York: Springer-Verlag; 1990.
  4. Ilyasova NY, Korepanov AO, Kupriyanov AV, Baranov VG, Khramov AG. Analysis of the coronary vessels structure based on the method of projections tracing. Computer Optics 2002; 23: 53-57.
  5. Ilyasova NY, Ustinov AV, Branchevsky SL, Durasov AB. Methods for estimating geometric parameters of retinal vessels using diagnostic images of fundus. Proc SPIE 1998; 3348: 316-325.

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