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Discrete fan-shaped Radon transform for net-like structures' centerlines detection
V.G. Baranov1, A.G. Khramov1,2

 

IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS,
443001, Samara, Russia, Molodogvardeyskaya 151,
Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34

 PDF, 773 kB

Pages: 44-47.

Full text of article: Russian language.

Abstract:
The article discusses a modified Radon transform as applied to the problem of detecting the centerlines in images of net-like structures. The analytical expression of the classical Radon transform is reduced to a form suitable for the analysis of net-like structures, one of the main characteristics of such structures being the presence of branching points and intersections of branches. The paper analyzes the methods for the numerical computation of the derived transform for discrete data. It describes a method for identifying the centerlines of branches in images of net-like structures using the proposed transform.

Keywords:
fan-shaped Radon transform, net-like structure, discrete data.

Citation:
Baranov VG, Khramov AG. Discrete fan-shaped Radon transform for net-like structures' centerlines detection. Computer Optics 2002; 23: 44-47.

References:

  1. S.L. Branchevsky, A.B. Durasov, N.Yu. Iliasova, A.V. Ustinov Methods for estimating geometric parameters of retinal vessels using diagnostic images of fundus // Proceedings SPIE, 1998. Vol. 3348. P. 316-325.
  2. Herman G. Image restoration from projections: Fundamentals of reconstructive tomography. Moscow: Mir Publisher; 1983: 352.
  3. Natterer F. Mathematical aspects of computerized tomography. Moscow: Mir Publisher; 1990: 288.
  4. Ilyasova NY, Korepanov AO, Kupriyanov AV, Khramov AG. Analysis of the coronary vessels structure based on the method of projections tracing. Computer Optics 2001; 22.

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