Robust recognition of planar shapes under affine transforms using principal component analysis

Tzimiropoulos, Georgios and Mitianoudis, Nikolaos and Stathaki, Tania (2007) Robust recognition of planar shapes under affine transforms using principal component analysis. IEEE Signal Processing Letters, 14 (10). pp. 723-726. ISSN 1070-9908

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Abstract

A scheme, based on Principal Component Analysis (PCA), is proposed that can be used for the recognition of 2D planar shapes under affine transformations. A PCA step is first used to map the object boundary to its canonical form, reducing the problem of the non-uniform sampling of the object contour introduced by the affine transformation. Then, a PCAbased scheme is employed to train a set of basis functions on the signals extracted from the objects’ boundaries. The derived bases are used to analyze the boundary locally. Based on the theory of invariants and local boundary analysis, an novel invariant function is constructed. The performance of the proposed framework is compared with a standard wavelet-based approach with promising results.

Item Type: Article
Additional Information: © 2007 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Keywords: Principal Component Analysis, affine transformation, invariants, shape recognition
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Computer Science
Identification Number: https://doi.org/10.1109/LSP.2007.896434
Depositing User: Tzimiropoulos, Yorgos
Date Deposited: 25 Sep 2015 10:33
Last Modified: 13 Sep 2016 15:37
URI: http://eprints.nottingham.ac.uk/id/eprint/30276

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