Journal of Mathematical Imaging and Vision

, Volume 18, Issue 3, pp 225–245

On Using Functions to Describe the Shape

  • Volodymyr V. Kindratenko

DOI: 10.1023/A:1022843426320

Cite this article as:
Kindratenko, V.V. Journal of Mathematical Imaging and Vision (2003) 18: 225. doi:10.1023/A:1022843426320


In this paper, a systematic review of various contour functions and methods of their analysis, as applied in the field of shape description and characterization, is presented. Contour functions are derived from planar object outlines and are used as an intermediate representation from which various shape properties can be obtained. All the functions are introduced and analyzed following the same scheme, thus making it possible to compare various representations. Although only a small subset of contour functions is included in the survey (cross-section, radius-vector, support, width, parametric, complex, tangent-angle, curvature, polynomial, and parametric cubic), the paper demonstrates a multitude of techniques for shape description that are based on this approach. Several analysis tools, such as statistics, line moments and invariants, Fourier and other series expansions, curvature scale space image, wavelet, and Radon transform are described.

contour functions shape shape analysis 2D object recognition 

Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Volodymyr V. Kindratenko
    • 1
  1. 1.National Center for Supercomputing Applications (NCSA)University of Illinois at Urbana-Champaign (UIUC)UrbanaUSA

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