Multiscale curvature-based shape representation using B-spline wavelets

IEEE Transactions on Image Processing

Volumn 8, Issue 11, 1999, Pages 1586-1592

  Wang, Yu Ping ^b   Lee, S L ^c   Toraichi, Kazuo ^a,d  

^a IEEE

^b WASHINGTON UNIVERSITY SCHOOL OF MEDICINE   (United States)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^d UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

B spline; Curvature function; Curve evolution; Curve fitting; Diffusion equation

Indexed keywords

EID: 0001055628     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/83.799886     Document Type: Article

References (12)

1. R. H. Bartels, J. C. Beatty, and B. A. Barsky, An Introduction to Splines for Use in Computer Graphics and Geometric Modeling. San Francisco, CA: Morgan Kaufmann, 1987.
2. M. Unser, A. Aldroubi, and M. Eden, "B-spline signal processing: Part 1 and Part 2," IEEE Trans. Signal Processing vol. 41, pp. 821-847, 1993.
3. _, "Fast B-spline algorithms for continuous image representation and interpolation," IEEE Trans. Pattern Anal. Machine Intell., vol. 13, pp. 277-285, 1991.
4. ∼wyp/download\_papers/ Edgespline.ps.gz.
5. Y.-P. Wang and S. L. Lee, "Scale-space derived from B-splines," IEEE Trans. Pattern Anal. Machine Intell., vol. 20, pp. 1040-1055, Oct. 1998.
6. J. Babaud, A. P. Witkin, M. Baudin, and R. O. Duda, "Uniqueness of Gaussian kernel for scale-space filtering," IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-8, pp. 26-33, 1986.
7. A. Asada and M. Brady, "The curvature primal sketch," IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-8, pp. 2-3, 1986.
8. F. Mokhtarian and A. K. Mackworth, "A theory of multiscale, curvature-based shape representation for planar curves," IEEE Trans. Pattern Anal. Machine Intell., vol. 14, pp. 789-805, Aug. 1992.
9. G. Sapiro, A. Cohen, and A. M. Bruckstein, "A subdivision scheme for continuous-scale B-splines and affine-invariant progressive smoothing," J. Math. Imag. Vis., vol. 7, pp. 23-40, 1997.
10. G. W. Wornell, "Wavelet-based representations for the 1/f family of fractal processes," Proc. IEEE, vol. 81, Oct. 1993.
11. E. Suhir, Applied Probability for Engineers and Scientists. New York: McGraw-Hill, 1997.
12. F. Attneave, "Some informational aspects of visual perception," Psychol. Rev., vol. 61, pp. 183-193, 1954.