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Image of Discontinuity, Nonlinearity and Complexity
ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

An Improved Approach for Image Segmentation and Three-Dimensional Reconstruction

Discontinuity, Nonlinearity, and Complexity 9(2) (2020) 199--215 | DOI:10.5890/DNC.2020.06.003

K. Bellaj$^{1}$, S. Boujena$^{1}$, E. EL Guarmah$^{2}$

$^{1}$ MACS laboratory, Mathematics and Computing Department, Ain Chock Sciences Faculty, Hassan II University of Casablanca. Km 8 Route El Jadida POB 5366 Maarif, Casablanca, Morocco

$^{2}$ LIRIMA-LERMA laboratories, Royal Air School, Mathematics and Informatics Department, DFST, BEFRA, POB 40002, Menara, Marrakech, Morocco

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Abstract

Themain contribution of this paper consists of introducing a novelmodel of three-dimensional reconstruction from multiple two-dimensional images. Actually, our proposedmodel presents the followingmain advantages; first, we improve the original region fitting energy in the general region-based level set method by an anisotropic diffusion to evolve the contour. Second, we use the Dijkstra algorithm to improve and allow simple and free initializations. Third, we adopt the domain decomposition method to reduce the computational cost for high-resolution images. Finally, in order to prove the efficiency and accuracy of our proposed method, experiments were performed on synthetic and real images.

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