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New Vessel Extraction Method by Using Skew Normal Distribution for MRA Images

Author

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  • Tohid Bahrami

    (Department of Statistics, Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz 33193, Iran)

  • Hossein Jabbari Khamnei

    (Department of Statistics, Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz 33193, Iran)

  • Mehrdad Lakestani

    (Department of Applied Mathematics, Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz 33193, Iran)

  • B. M. Golam Kibria

    (Department of Mathematics and Statistics, Florida International University, Miami, FL 33199, USA)

Abstract

Vascular-related diseases pose significant public health challenges and are a leading cause of mortality and disability. Understanding the complex structure of the vascular system and its processes is crucial for addressing these issues. Recent advancements in medical imaging technology have enabled the generation of high-resolution 3D images of vascular structures, leading to a diverse array of methods for vascular extraction. While previous research has often assumed a normal distribution of image data, this paper introduces a novel vessel extraction method that utilizes the skew normal distribution for more accurate probability distribution modeling. The proposed method begins with a preprocessing step to enhance vessel structures and reduce noise in Magnetic Resonance Angiography (MRA) images. The skew normal distribution, known for its ability to model skewed data, is then employed to characterize the intensity distribution of vessels. By estimating the parameters of the skew normal distribution using the Expectation-Maximization (EM) algorithm, the method effectively separates vessel pixels from the background and non-vessel regions. To extract vessels, a thresholding technique is applied based on the estimated skew normal distribution parameters. This segmentation process enables accurate vessel extraction, particularly in detecting thin vessels and enhancing the delineation of vascular edges with low contrast. Experimental evaluations on a diverse set of MRA images demonstrate the superior performance of the proposed method compared to previous approaches in terms of accuracy and computational efficiency. The presented vessel extraction method holds promise for improving the diagnosis and treatment of vascular-related diseases. By leveraging the skew normal distribution, it provides accurate and efficient vessel segmentation, contributing to the advancement of vascular imaging in the field of medical image analysis.

Suggested Citation

  • Tohid Bahrami & Hossein Jabbari Khamnei & Mehrdad Lakestani & B. M. Golam Kibria, 2024. "New Vessel Extraction Method by Using Skew Normal Distribution for MRA Images," Stats, MDPI, vol. 7(1), pages 1-17, February.
  • Handle: RePEc:gam:jstats:v:7:y:2024:i:1:p:13-219:d:1344430
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    References listed on IDEAS

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    1. Arthur Pewsey, 2000. "Problems of inference for Azzalini's skewnormal distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(7), pages 859-870.
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