Fractional differentiation for edge detection

Barnsley, 1993 Canny, 1986, A computational approach to edge detection, IEEE Trans. PAMI, 8, 679, 10.1109/TPAMI.1986.4767851 Cherbit, 1991 Cocquerez, 1995 Deriche, 1987, Using Canny's criteria to derive a recursively implemented optimal edge detector, Internat. J. Comput. Vision, 1, 167, 10.1007/BF00123164 A. Erdelyi, Higher Transcendental Functions, Vol. 1, California Institute of Technology, McGraw-Hill, New York, 1955. A. Erdelyi, Operational calculus and generalized functions, Holt, Rinehart and Winston, 1962, Calcul opérationnel et fonctions generalisées, Editions Dunod, Paris, 1971. Family, 1991 Fisher, 1995 Heath, 1998, Comparison of edge detectors, Comput. Vision Image Understanding, 69, 38, 10.1006/cviu.1997.0587 Jain, 1989 Le Mehaute, 1990 Lim, 1990 Mandelbrot, 1975 Mandelbrot, 1982 Marr, 1982, Theory of edge detection, Proc. Roy. Soc. London B, 204, 301, 10.1098/rspb.1979.0029 Miller, 1993 Oldham, 1974 Oustaloup, 1995 A. Oustaloup, B. Mathieu, P. Melchior, Edge detection using non integer derivation, Presented at the IEEE European Conference on Circuit Theory and Design (ECCTD’91), Copenhagen, Denmark, September 3–6, 1991. A. Oustaloup, B. Mathieu, P. Melchior, Robust edge detector of non integer order: the CRONE detector, Presented at the 8th Congrès de Cytométrie en Flux et d'Analyse d'lmage (ACF’91), Mons, Belgique, November 6–8, 1991. A. Oustaloup, B. Mathieu, P. Melchior, Edge detection using non integer derivation, Presented at the International Summer School Fractal and Hyperbolic Geometries, Fractional and Fractal Derivatives in Engineering, Applied Physics and Economics, Bordeaux, France, July 3–8, 1994. A. Oustaloup, P. Melchior, B. Mathieu, Improvement of contour extraction in image processing, Presented at the 7th Congrès de Cytométrie en Flux et d'Analyse d'lmage (ACF’90), Bordeaux, France, October 10–12, 1990. Peli, Malah, A study of edge detection algorithms, Comput. Graph. Image Process. 20 (1982) 1–21. Pratt, 1991 Prewitt, 1970, Object enhancement and extraction, 75 Samko, 1993 Shen, 1992, An optimal linear operator for step edge detection, CVGIP, 54, 112 Takayasu, 1990 Tricot, 1992 D. Ziou, S. Tabbone, Edge detection techniques: an overview, Technical Report, No. 195, Dept. Math & Informatique, Sherbrooke University, 1997.