Spatial derivatives and the propagation of noise in gaussian scale Space

Journal of Visual Communication and Image Representation

Volumn 4, Issue 1, 1993, Pages 1-13

  Blom, Johan ^a   Romeny, Bart M Ter Haar ^a   Bel, Arjan ^a   Koenderink, Jan J ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0005232235     PISSN: 10473203     EISSN: 10959076     Source Type: Journal    
DOI: 10.1006/jvci.1993.1001     Document Type: Article

References (22)

1. A. P. Witkin, Scale space filtering, in Proceedings, IJCAI, Karlsruhe, West Germany, 1983, pp. 1019-1023
2. J. J. Koenderink, The structure of images, Biol. Cybernet. 50, 1984, 363-370
3. J. Babaud, A. P. Witkin, M. Baudin, and R. O. Duda, Uniqueness of the Gaussian kernel for scale-space filtering, IEEE Trans. Pattern Anal. Mach. Intell. 8, 1, 1986, 26-33
4. A. Y. Yuille and T. A. Poggio, Scaling theorems for zero-crossings, IEEE Trans. Pattern Anal. Mach. Intell. 8, 1986, 15-25
5. L. M. J. Florack, B. M. ter Haar Romeny, and J. J. Koenderink, Scale-space, submitted for publication
6. K. Kanatani, Group-Theoretical Methods in Image Understanding, Series in information Sciences, Vol. 20, Springer-Verfag, New York/Berlin, 1990
7. J. J. Koenderink and A. J. van Doom, Representation of local geometry in the visual system, Biot. Cybernet. 55, 1987, 367-375
8. B. M. ter Haar Romeny and L. M. J. Florack, A multiscale geometric model of human vision, in Perception of Visual Information (B. Hendee and P. Wells, Eds.), Springer-Verlag, Berlin, 1991
9. V. Torre and T. A. Poggio, On edge detection, IEEE Trans. Pattern Anal. Mach. Intell. 8, 1986, 147-163
10. R. A. Hummel and B. C. Gidas, Zero Crossings and the Heat Equation, Tech, Rep. No. Ill, New York University Courant Institute of Mathematical Sciences, Computer Science Division, 1984
11. J. J. Koenderink, Solid Shape, MIT Press, Cambridge, MA, 1990
12. F. Bergholm, Edge focussing, IEEE Trans. Pattern Anal. Mach. Intell. 9, 1987, 726-741
13. R. A. Young, The Gaussian Derivative Theoty of Spatial Vision: Analysis of Cortical Cell Receptive Field Line-Weighting Profiles, Publication gmr-4920, General Motors Research Labs, 1985
14. R. A. Young, The Gaussian derivative model for machine vision: Visual cortex simulation, J. Opt. Soc. Am., July 1986
15. R. A. Young, Simulation of human retinal function with the Gaussian derivative model, in Proceedings IEEE CVPR, Miami, FL, 1986, pp. 564-569
16. J. J. Koenderink and A. J. van Doom, Receptive field families, Biol. Cybernet. 63, 1990, 291-298
17. J. S. Bendat and A. G. Prisol, Measurements and Analysis of Random Data, Wiley, New York, 1966
18. J. J. Clark, Authenticating edges produced by zero-crossing algorithms, IEEE Trans. Pattern Anal. Mach. Intell. 11, 1989, 43-57
19. R. M. Haralick, Zero-crossing of second directional derivative edge operator, IEEE Trans. Pattern Anal. Mach. Intell. 6, 1984, 58-68
20. A. L. Yuille and T. Poggio, Fingerprint theorems for zero crossings, J. Opt. Soc. Am. A 2, May 1985, 683-692
21. A. L. Yuille and T. Poggio, Scaling and fingerprint theorems for zero-crossings, in Advances in Computer Vision (C. Brown, ed.), pp, 47-78, Lawrence Erlbaum, Hillsdale, NJ, 1988
22. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterl-ing, Numerical Recipes in C: The Art of Scientific Computing, Cambridge Univ, Press, Cambridge, MA, 1988