Application of fractional differential approach to digital image processing

Sichuan Daxue Xuebao (Gongcheng Kexue Ban)/Journal of Sichuan University (Engineering Science Edition)

Volumn 39, Issue 3, 2007, Pages 124-132

  Pu, Yi Fei ^a  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Antagonism; Fractional differential covering template; Fractional order stable coefficient; Motion blur; Multi scale fractional differential; Partial fractional calculus

Indexed keywords

APPLICATIONS; COMPUTER SIMULATION; DIFFERENTIATION (CALCULUS); SIGNAL PROCESSING;

ANTAGONISM; DIGITAL IMAGE PROCESSING; FRACTIONAL ORDER DIFFERENTIAL; MOTION BLUR;

IMAGE PROCESSING;

EID: 34250021266     PISSN: 10093087     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Oldham K B, Spanier J. The fractional calculus [M]. New York and London: Academic Press, 1974.
2. Pu Yifei, Yuan Xiao, Liao Ke, et al. Five numerical algorithms of fractional calculus applied in modern signal analyzing and processing [J]. Journal of Sichuan University: Engineering Science Edition, 2005, 37 (5): 118-124.
3. Yuan Xiao, Chen Xiangdong, Li Qiliang, et al. Differential operator and the construction of wavelet [J]. Acta Electronica Sinica, 2002, 30 (5): 769-773.
4. Pu Yifei. Research on application of fractional calculus to latest signal analysis and processing [D]. Sichuan University, 2006.
5. Cornsweet T N. Visual perception [M]. New York: Academic Press, 1970.
6. Pu Yifei. Fractional calculus approach to texture of digital image [C] //Proceedings of ICSP2006. IEEE, 2006: 1002-1006.
7. Pu Yifei, Yuan Xiao, Liao Ke, et al. Determination of scale sample step for getting numerical result of the continuous wavelet transform [J]. Journal of Sichuan University: Engineering Science Edition, 2004, 36 (6): 111-116.
8. Pu Yifei, Yuan Xiao, Liao Ke, et al. Implement any fractional order neural-type pulse oscillator with net-grid type analog fractance circuit [J]. Journal of Sichuan University: Engineering Science Edition, 2006, 38 (1): 128-132.