پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شماره‌ها | 628 |
| تعداد مقالات | 9,179 |
| تعداد مشاهده مقاله | 67,529,583 |
| تعداد دریافت فایل اصل مقاله | 8,064,233 |
Fractal transforms for fuzzy valued images | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 69، دوره 12، شماره 1، مرداد 2021، صفحه 856-868 اصل مقاله (547.22 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.1590.1413 | ||
| نویسندگان | ||
| M Rajkumar* 1؛ R. Uthayakumar2 | ||
| 1Department of Mathematics, B. S. Abdur Rahman University, Vandalur, Chennai-48, Tamilnadu, India | ||
| 2Department of Mathematics, Gandhigram Rural Institute (Deemed University), Gandhigram, Dindigul, Tamilnadu, India | ||
| تاریخ دریافت: 17 شهریور 1395، تاریخ بازنگری: 14 شهریور 1396، تاریخ پذیرش: 13 آبان 1398 | ||
| چکیده | ||
| The aim of this paper is to construct a complete metric space of fuzzy valued image functions and to define a fractal transform operator T. Contraction of T is guarantees the existence of its fixed point. A fuzzy point is considered for this purpose as a crisp point and approached through classical method on proving the completeness of the space. | ||
| کلیدواژه‌ها | ||
| Fractal Image compression؛ Iterated function systems؛ Fuzzy sets؛ Fuzzy iterated function systems؛ Fuzzy valued images؛ Fuzzy Fractal Image Compression | ||
| مراجع | ||
|
[1] N. Al-Saidi, On multi fuzzy metric space, PhD thesis, Al-Nahreen University, Baghdad, Iraq, 2002. [2] N. AL-Saidi, Md. Sd. Muhammad Rushdan and A. M. Ahmed, IFS on the multi fuzzy fractal space, World Acad. Sci. Engin. Technol. 53 (2009) 822–826. [3] M.F. Barnsley and D. Sloan, A better way to compress images, Byte 13(1) (1988) 215-233. [4] M.F. Barnsley, Fractals Everywhere, Morgan Kaufmann, Second edition, San Francisco, 1993. [5] M.F. Barnsley and A.E. Jacquin, Application of recurrent iterated function systems to images, SPIE Visual Comm. Forms 1001 (1988) 122–131. [6] I. Bloch, On fuzzy distances and their use in image processing under imprecision, Patt. Rec. 32 (1999) 1873–1895. [7] C. Cabrelli, B. Forte and U.M. Molter, Iterated fuzzy set systems: A new approach to the inverse problem for fractals and other sets, J. Math. Anal. Appl. 171 (1992) 79–100. [8] J.E. Hutchinson, Fractals and self-similarity, Indiana Univ. Math. J. 30 (1981) 713–747. [9] A.E. Jacquin, A fractal theory of iterated Markov operators with applications to digital image coding, Ph.D. Thesis, Department of Mathematics, Georgia Institute of Technology, 1989.
[11] A.E. Jacquin, Fractal image coding based on a theory of iterated contractive image transformations, SPIE Visual Comm. Image Process. 90 (1990) 227–239. [12] D. La Torre and E.R. Vrscay, A generalized fractal transform for measure-valued images, Nonlinear Anal. 71 (2009) 1598–1607. [13] R. Lowen and W. Peeters, Distances between fuzzy sets representing grey level images, Fuzzy Sets Syst. 99(2) (1998) 135–149. [14] D. La Torre, F. Mendivil and E. R. Vrscay, Iterated function systems on multifunction, Math. Everywhere, 125-138, Springer Berlin Heidelberg, 2007. [15] D. La Torre and E.R. Vrscay, Random measure valued image functions, fractal transforms and self-similarity, Appl. Math. Lett. 24(8) (2011) 1405–1410. [16] N. Palaniappan, Fuzzy Topology, Second edition, Narosa Publishing House, New Delhi, 2008. [17] P. Pao-Ming and L. Ying-Ming, Fuzzy topology I, Neighborhood structure of a fuzzy point and Moore-smooth convergence, J. Math. Anal. Appl. 76 (1980) 571–599. [18] S. Shirali and H.L. Vasudeva, Metric Spaces, Springer International Edition, The First Indian Reprint, 2009. [19] R. Uthayakumar and M. Rajkumar, On fuzzy fractal transforms, Proc. Emerging Trends in Science, Engineering and Technology, Lecture Notes in Mechanical Engineering, 717-725, Springer Berlin Heidelberg, 2012. [20] E.R. Vrscay, Mathematical theory of generalized fractal transforms and associated inverse problems, Proc. Image Tech. Conf. Math. Imag. Appl., Atlanta, Georgia, March 17-20, 1996. [21] L.A. Zadeh, Fuzzy sets, Inf. Cont. 8(3) (1965) 338–353. | ||
|
آمار تعداد مشاهده مقاله: 15,672 تعداد دریافت فایل اصل مقاله: 454 |
||