Affine invariant fitting of algebraic curves using Fourier descriptors

Sener S., Unel M.

PATTERN ANALYSIS AND APPLICATIONS, vol.8, pp.72-83, 2005 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8
  • Publication Date: 2005
  • Doi Number: 10.1007/s10044-005-0245-6
  • Title of Journal : PATTERN ANALYSIS AND APPLICATIONS
  • Page Numbers: pp.72-83

Abstract

Both parametric and implicit representations are used in,a variety of computer vision applications such, as object modeling, recognition and pose estimation. In this paper, we present a new algebraic curve fitting technique based on the implicitization of affine invariant Fourier descriptors that can be used to model free-form objects captured from different viewpoints. Implicitization can be carried out quite efficiently using a numerical procedure rather than computing determinants of eliminant matrices, symbolically. Affine invariance of the proposed fitting technique is experimentally shown on a database of 2D free-form objects. Experimental results, are provided to assess the robustness of our fitting method under data perturbations. Some invariant recognition examples are also presented.