A Novel Method for Invariant Image Reconstruction

Author:

Pawlak Mirosław12,Panesar Gurmukh Singh1,Korytkowski Marcin3

Affiliation:

1. Department of Electrical and Computer Engineering , University of Manitoba , Canada

2. Information Technology Institute , University of Social Sciences , Lodz , Poland

3. Institute of Computational Intelligence , Czestochowa University of Technology , Czestochowa , Poland

Abstract

Abstract In this paper we propose a novel method for invariant image reconstruction with the properly selected degree of symmetry. We make use of Zernike radial moments to represent an image due to their invariance properties to isometry transformations and the ability to uniquely represent the salient features of the image. The regularized ridge regression estimation strategy under symmetry constraints for estimating Zernike moments is proposed. This extended regularization problem allows us to enforces the bilateral symmetry in the reconstructed object. This is achieved by the proper choice of two regularization parameters controlling the level of reconstruction accuracy and the acceptable degree of symmetry. As a byproduct of our studies we propose an algorithm for estimating an angle of the symmetry axis which in turn is used to determine the possible asymmetry present in the image. The proposed image recovery under the symmetry constraints model is tested in a number of experiments involving image reconstruction and symmetry estimation.

Publisher

Walter de Gruyter GmbH

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Hardware and Architecture,Modeling and Simulation,Information Systems

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