Kernel density estimation applications in vessel extraction for MRA images

Document Type : Research Paper

Authors

1 Department of Statistics, Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Iran.

2 Department of Mathematics and Statistics, Florida International University, FIU, Miami, USA.

Abstract

Vascular-related diseases have become increasingly significant as public health concerns. The analysis of blood vessels plays an important role in detecting and treating diseases. Extraction of vessels is a very important technique in vascular analysis. Magnetic Resonance Angiography (MRA) is a medical imaging technique used to visualize the blood vessels and vascular system in three-dimensional images. These images provide detailed information about the size and shape of the vessels, any narrowing or stenosis, as well as blood supply and circulation in the body. Tracing vessels from medical images is an essential step in the diagnosis and treatment of vascular-related diseases. Many different techniques and algorithms have been proposed for vessel extraction. In this paper, we present a vessel extraction method based on the Kernel density estimation (KDE). Numerical experiments on real 2D MRA images demonstrate that the presented method is very efficient. The effectiveness of the proposed method has been proven through comparative analysis with validated existing methods.

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Main Subjects

Computational Methods for Differential Equations
Volume 13, Issue 1
January 2025
Pages 190-200

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History

  • Receive Date: 16 March 2024
  • Revise Date: 21 July 2024
  • Accept Date: 03 August 2024

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