Vol.127, No.1, 2021, pp.59-77, doi:10.32604/cmes.2021.013632
Three-Dimensional Modeling of the Retinal Vascular Tree via Fractal Interpolation
  • Hichem Guedri1,*, Abdullah Bajahzar2, Hafedh Belmabrouk3
1 Electronics and Microelectronics Laboratory, Department of Physics, Faculty of Sciences, Monastir University, Monastir, 5019, Tunisia
2 Department of Computer Science and Information, College of Science, Majmaah University, Zulfi, 11932, Saudi Arabia
3 Department of Physics, College of Science Zulfi, Majmaah University, Zulfi, 11932, Saudi Arabia
* Corresponding Author: Hichem Guedri. Email:
Received 14 August 2020; Accepted 21 December 2020; Issue published 30 March 2021
In recent years, the three dimensional reconstruction of vascular structures in the field of medical research has been extensively developed. Several studies describe the various numerical methods to numerical modeling of vascular structures in near-reality. However, the current approaches remain too expensive in terms of storage capacity. Therefore, it is necessary to find the right balance between the relevance of information and storage space. This article adopts two sets of human retinal blood vessel data in 3D to proceed with data reduction in the first part and then via 3D fractal reconstruction, recreate them in a second part. The results show that the reduction rate obtained is between 66% and 95% as a function of the tolerance rate. Depending on the number of iterations used, the 3D blood vessel model is successful at reconstruction with an average error of 0.19 to 5.73 percent between the original picture and the reconstructed image.
Fractal interpolation; 3D Douglas–Peucker algorithm; 3D skeleton; blood vessel tree; iterated function system; retinal image
Cite This Article
Guedri, H., Bajahzar, A., Belmabrouk, H. (2021). Three-Dimensional Modeling of the Retinal Vascular Tree via Fractal Interpolation. CMES-Computer Modeling in Engineering & Sciences, 127(1), 59–77.
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