Edge detection from X‐ray tomographic data for geometric image registration.

Autor: Lajili, Mohamed, Rjaibi, Badreddine, Auroux, Didier, Moakher, Maher
Předmět:
Zdroj: Mathematical Methods in the Applied Sciences; Apr2023, Vol. 46 Issue 6, p6324-6358, 35p
Abstrakt: In this paper, we propose new variational model for image registration from tomographic data. First, we employ the topological gradient approach for a tomographic reconstruction that uses the first‐ and the second‐order discontinuities in order to detect important objects of a given observed X‐ray tomographic data (sinograms). Second, we use this geometric information furnished by a high‐order operator in order to define an appropriate fidelity measure for the image registration process. A theoretical study of the proposed model is provided; Gauss–Newton method and multilevel technique are used for its numerical implementation. The performed numerical experiments show the efficiency and effectiveness of our model. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index