Image Reconstruction Based on Novel Sets of Generalized Orthogonal Moments.

Autor: Farouk RM; Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt.
Jazyk: angličtina
Zdroj: Journal of imaging [J Imaging] 2020 Jun 23; Vol. 6 (6). Date of Electronic Publication: 2020 Jun 23.
DOI: 10.3390/jimaging6060054
Abstrakt: In this work, we have presented a general framework for reconstruction of intensity images based on new sets of Generalized Fractional order of Chebyshev orthogonal Moments (GFCMs), a novel set of Fractional order orthogonal Laguerre Moments (FLMs) and Generalized Fractional order orthogonal Laguerre Moments (GFLMs). The fractional and generalized recurrence relations of fractional order Chebyshev functions are defined. The fractional and generalized fractional order Laguerre recurrence formulas are given. The new presented generalized fractional order moments are tested with the existing orthogonal moments classical Chebyshev moments, Laguerre moments, and Fractional order Chebyshev Moments (FCMs). The numerical results show that the importance of our general framework which gives a very comprehensive study on intensity image representation based GFCMs, FLMs, and GFLMs. In addition, the fractional parameters give a flexibility of studying global features of images at different positions and scales of the given moments.
Databáze: MEDLINE