Efficient, recursively implemented differential operator, with application to edge detection

Pattern Recognition Letters

Volumn 27, Issue 9, 2006, Pages 987-995

  Torreão, José R A ^a   Amaral, Marcos S ^a  

^a FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

Author keywords

Differential operator; Edge detection; Green's function; Image processing; Matching equation

Indexed keywords

COMPUTATION THEORY; ESTIMATION; GREEN'S FUNCTION; IMAGE PROCESSING; MATHEMATICAL OPERATORS;

COMPUTATIONAL EFFICIENCY; DIFFERENTIAL OPERATOR; MATCHING EQUATION; SIGNAL MATCHING;

EDGE DETECTION;

EID: 33646158203     PISSN: 01678655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patrec.2005.11.011     Document Type: Article

References (18)

1. Ando S. Consistent gradient operators. IEEE Trans. Pattern Anal. Machine Intell. 22 3 (2000) 252-265
2. Bao P., Zhang L., and Wu X. Canny edge detection enhancement by scale multiplication. IEEE Trans. Pattern Anal. Machine Intell. 27 9 (2005) 1485-1490
3. Canny J. A computational approach to edge detection. IEEE Trans. Pattern Anal. Machine Intell. 8 6 (1986) 679-698
4. De Micheli E., Caprile B., Ottonello P., and Torre V. Localization and noise in edge detection. IEEE Trans. Pattern Anal. Machine Intell. 11 10 (1989) 1106-1117
5. Demigny D. On optimal linear filtering for edge detection. IEEE Trans. Image Process. 11 7 (2002) 728-737
6. Deriche R. Using Canny's criteria to derive a recursively implemented optimal edge detector. Internat. J. Comput. Vision (1987) 167-187
7. Fetter A.L., and Walecka J.D. Theoretical Mechanics of Particles and Continua (1980), McGraw-Hill, New York
8. Ganesan L., and Bhattacharyya P. Edge detection in untextured and textured images-a common computational framework. IEEE Trans. Systems Man Cyb. 27 5 (1997) 823-834
9. Haralick R.M. The digital step edge from zero crossings of second directional derivatives. IEEE Trans. Pattern Anal. Machine Intell. 6 1 (1984) 58-68
10. Koplowitz J., and Greco V. On the edge location error for local maximum and zero-crossing edge detectors. IEEE Trans. Pattern Anal. Machine Intell. 16 12 (1994) 1207-1212
11. Meer P., and Georgescu B. Edge detection with embedded confidence. IEEE Trans. Pattern Anal. Machine Intell. 23 12 (2001) 1351-1365
12. Poggio, T., Voorhees, H., Yuille, A., 1985. A regularized solution to edge detection. Technical Report AIM-833, MIT Artificial Intelligence Laboratory, May 1985.
13. Sarkar S., and Boyer K.L. On optimal infinite impulse response edge detection filters. IEEE Trans. Pattern Anal. Machine Intell. 13 11 (1991) 1154-1171
14. Spacek L. Edge detection and motion detection. Image Vision Comput. 4 1 (1986) 43-56
15. Torre V., and Poggio T. On edge detection. IEEE Trans. Pattern Anal. Machine Intell. 8 2 (1986) 147-163
16. Torreão J.R.A. A Green's function approach to shape from shading. Pattern Recognition 34 12 (2001) 2367-2382
17. Torreão J.R.A., and Amaral M.S. Signal differentiation through a Green's function approach. Pattern Recognition Lett. 23 (2002) 1755-1759
18. Wilson R., and Bhalerao A.H. Kernel designs for efficient multiresolution edge detection and orientation estimation. IEEE Trans. Pattern Anal. Machine Intell. 14 3 (1992) 384-390