Curvature Scale Space (CSS) representation of planar curves is considered to be a modern tool in image processing and shape analysis. Direct Curvature Scale Space (DCSS) is defined as CSS that results from convolving the curvature of a curve with a Gaussian kernel directly. Recently a theory of DCSS in corner detection has been established. In the present paper the DCSS theory is considered to transform the DCSS image of a given curve into a tree organization, and then corners on the curve are detected and located in a multiscale sense. Experiments are conducted to show that the DCSS corner detector can work equally well as the CSS corner detector does on curves with multiple-size features, however, at much less computational cost.


Scale Space Planar Curf Line Pattern Tree Organization Shape Representation 
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  1. 1.
    Asada, H., Brady, M.: The curvature primal sketch. IEEE Trans. Pattern Anal. Mach. Intell. 8, 2–14 (1986)CrossRefGoogle Scholar
  2. 2.
    Garrido, A., Blanca, N., Vente, M.: Boundary simplification using a mutiscale dominant-point detection algorithm. Pattern Recognition 31, 791–804 (1998)CrossRefGoogle Scholar
  3. 3.
    Iijima, T.: Basic theory on normalization of pattern (in case of typical one-dimensional pattern). Bulletin of the Electrotechnical Laboratory 26, 368–388 (1962)Google Scholar
  4. 4.
    Koenderink, J.J.: The structure of images. Biol. Cybern. 50, 363–370 (1984)MATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Mokhtarian, F., Mackworth, A.: Scale-based description and recognition of planar curves and two-dimensional shapes. IEEE Trans. Pattern Anal. Mach. Intell. 8, 34–43 (1986)CrossRefGoogle Scholar
  6. 6.
    Mokhtarian, F., Mackworth, A.: A theory of multi-scale, curvature-based shape representation for planar curves. IEEE Trans. Pattern Anal. Mach. Intell. 14, 789–805 (1992)CrossRefGoogle Scholar
  7. 7.
    Mokhtarian, F., Bober, M.: Curvature Scale Space Representation: Theory, Applications, and MPEG-7 Standardization. Kluwer Academic Publishers, Dordrecht (2003)Google Scholar
  8. 8.
    Mokhtarian, F., Abbasi, S.: Robust automatic selection of optimal views in multi-view free-form object recognition. Pattern Recognition 38, 1021–1031 (2005)CrossRefGoogle Scholar
  9. 9.
    Pei, S., Lin, C.: The detection of dominant points on digital curves by scale-space filtering. Pattern Recognition 25, 1307–1314 (1992)CrossRefGoogle Scholar
  10. 10.
    Rattarangsi, A., Chin, R.: Scale-based detection of corners of planar curves. IEEE Trans. Pattern Anal. Mach. Intell. 14, 430–449 (1992)CrossRefGoogle Scholar
  11. 11.
    Ray, B., Ray, K.: Corner detection using iterative Gaussian smoothing with constant windows size. Pattern Recognition 28, 1765–1781 (1995)CrossRefGoogle Scholar
  12. 12.
    Ray, B., Pandyan, R.: ACORD-an adaptive corner detector for planar curves. Pattern Recognition 36, 703–708 (2003)MATHCrossRefGoogle Scholar
  13. 13.
    Witkin, A.P.: Scale-space filtering. In: Proc. Eighth Int. Joint Conf. on Artificial Intelligence, Karlsruhe, Germany, pp. 1019–1021 (1983)Google Scholar
  14. 14.
    Xin, K., Lim, K., Hong, G.: A scale-space filtering approach for visual feature extraction. Pattern Recognition 28, 1145–1158 (1995)CrossRefGoogle Scholar
  15. 15.
    Zabulis, X., Sporring, J., Orphanoudakis, S.: Perceptually relevant and piecewise linear matching of silhouettes. Pattern recognition 38, 75–93 (2005)CrossRefGoogle Scholar
  16. 16.
    Zhang, D., Lu, G.: Review of shape representation and description techniques. Pattern Recognition 37, 1–19 (2004)MATHCrossRefGoogle Scholar
  17. 17.
    Zhong, B.J., Liao, W.H.: A hybrid method for fast computing the curvature scale space image. In: International Conference on Geometric Modeling and Processing, pp. 124–130. IEEE Computer Society Press, Los Alamitos (2004)CrossRefGoogle Scholar
  18. 18.
    Zhong, B.J.: Research on Algorithms for Planar Contour Processing. PhD Dissertation, Nanjing university of Aeronautics & Astronautics (2006)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Baojiang Zhong
    • 1
  • Wenhe Liao
    • 2
  1. 1.Department of MathematicsNanjing university of Aeronautics, & AstronauticsNanjingChina
  2. 2.College of Mechanical and Electrical EngineeringNanjing university of Aeronautics & AstronauticsNanjingChina

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