On derivatives estimation of smoothed digital curves

Computers and Artificial Intelligence

Volumn 19, Issue 4, 2000, Pages 335-349

  Glasa, Ján ^a  

^a INSTITUTE OF CHEMISTRY   (Slovakia)

Author keywords

Derivatives of smoothed digital curves; Non negative kernels

Indexed keywords

EID: 23044521548     PISSN: 02320274     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. BEUS, H. L. - TIU, S. S. H.: An improved corner detection algorithm based on chain-coded plane curves. Pattern Recognition, Vol. 20, 1987, No. 3, pp. 291-296.
2. FENEUIL, B.: A model-based vision algorithms for fast and accurate location of mechanical parts. Report of the Royal Inst. of Technology, S10044 Stockholm 70, 1980, pp. 365-382.
3. FREEMAN, H. - DAVIS, L. S.: A corner-finding algorithm for chain-coded curves. IEEE Trans. Comput., Vol. 26, 1977, pp. 297-303.
4. GLASA, J.: Circulant Toeplitz matrices for digital contour smoothing and their parallel implementation on systolic arrays. PhD. thesis. Bratislava 1993.
5. GLASA, J.: Bit-level systolic arrays for digital contour smoothing by Abel-Poisson kernel. Parallel Processing Letters, Vol. 3, 1993, No. 1, pp. 43-51.
6. MEDONI, G. - YASUMOTO, Y.: Corner detection and curve representation using cubic B-splines. Comput. Vision Graph. Image Process., Vol. 39, 1987, pp. 267-278.
7. MOKHTARIAN, F. - MACKWORTH, A.: Scale-based description and recognition of planar curves and two-dimensional shapes. IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 1, 1986, pp. 34-43.
8. NUDD, G. R.: Concurrent systems for image analysis. In VLSI for Pattern Recognition and Image Processing (Fu, K. S., ed.), Springer, N.Y. 1984, pp. 107-132.
9. PETKOV, N. - SLOBODA, F.: A bit-level systolic array for digital contour smoothing. Parallel Computing, Vol. 12, 1989, pp. 301-313.
10. PRIECEL, J. - GLASA, J.: Curves approximation by the Abel-Poisson kernel and its bit-level implementation. IEE Press, Vol. 354, 1992, pp. 604-607.
11. RICE, J. R.: The approximation of functions. Addison-Wesley, N.Y. 1964.
12. ROSENFELD, A. - JOHNSTON, E.: Angle detection on digital curves. IEEE Trans. Comput., Vol. 22, 1973, pp. 875-878.
13. ROSENFELD, A. - WESZKA, J. S.: An improved method of angle detection on digital curves. IEEE Trans. Comput., Vol. 24, 1975, pp. 940-941.
14. SANKAR, P. - FERRARI, L.: Simple algorithms and architectures for B-spline interpolation. IEEE Trans. PAMI, Vol. 10, 1988, pp. 271-276.
15. SLOBODA, F.: Toeplitz matrices, homothety and least-squares approximation. In Parallel Computing - Methods, Algorithms, Applications (Evans, D. J. and Sutti, C. N., eds.), Adam Hilger, Bristol, 1989, pp. 237-248.
16. SLOBODA, F.: Toeplitz matrices, curvature and least-squares approximation. In Proc. of the Int. Conf. on Par. Computing, North Holland, Amsterdam, 1990, pp. 313-318.
17. VOSSEPOEL, A. M. - SMEULDERS, A. W. M.: Vector code probability and metrication error in the representation of straight lines of finite length. Comput. Graph. Image Process., Vol. 20, 1982, pp. 347-364.
18. WANG, M. J. J. - WU, W. Y. - HUANG, L. K. - WANG, D. M.: Corner detection using bending value. Pattern Recognition Letters, Vol. 16, 1995, pp. 575-583.
19. WORRING, M. - SMEULDERS, A. W. M.: Digital curvature estimation. CVGIP: Image Understanding, Vol. 58, 1993, No. 3, pp. 366-382.