<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

A Novel Method for Invariant Image Reconstruction

Department of Electrical and Computer Engineering

Journal of Artificial Intelligence and Soft Computing Research

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"A Novel Method for Invariant Image Reconstruction"}

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...

A Novel Method for Invariant Image Reconstruction

Published Online: Dec 03, 2020

Page range: 69 - 80

Received: Jul 08, 2020

Accepted: Oct 05, 2020

DOI: https://doi.org/10.2478/jaiscr-2021-0005

Keywords
object representation, invariant features, symmetry, radial orthogonal moments, continuous symmetry, ridge regression

© 2021 Mirosław Pawlak et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A Novel Method for Invariant Image Reconstruction

Published Online: Dec 03, 2020

Page range: 69 - 80

Received: Jul 08, 2020

Accepted: Oct 05, 2020

DOI: https://doi.org/10.2478/jaiscr-2021-0005

Keywordsobject representation, invariant features, symmetry, radial orthogonal moments, continuous symmetry, ridge regression

© 2021 Mirosław Pawlak et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
object representation, invariant features, symmetry, radial orthogonal moments, continuous symmetry, ridge regression