Affine invariant fitting of algebraic curves using Fourier descriptors

Şener, Sait and Ünel, Mustafa (2005) Affine invariant fitting of algebraic curves using Fourier descriptors. Pattern analysis & applications, 8 (1-2). pp. 72-83. ISSN 1433-7541 (Print) 1433-755X (Online)

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Official URL: http://dx.doi.org/10.1007/s10044-005-0245-6


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.

Item Type:Article
Uncontrolled Keywords:algebraic curves; implicit polynomials; Fourier descriptors; affine invariance; fitting; matrix annihilation; object recognition; robustness; implicitization
Subjects:Q Science > QA Mathematics > QA075 Electronic computers. Computer science
ID Code:572
Deposited By:Mustafa Ünel
Deposited On:30 Dec 2005 02:00
Last Modified:25 May 2011 14:23

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