Chromatic aberration reduction based on the use of nonlinear poisson equation

Hee Kang, Moon Gi Kang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a chromatic aberration (CA) reduction technique to remove the lateral CA and longitudinal CA, simultaneously. In general, most visible CA-related artifacts appear locally in the neighborhoods of strong edges. Since these artifacts usually have local characteristics, they cannot be removed well by the conventional methods based on global warping methods. Therefore, we designed a partial differential equation (PDE) in which the characteristics of CA are taken into account. The PDE leads to the nonlinear Poisson equation by using Eular-lagrange equation. The proposed Poisson equation matches the gradients of the edges in the red and blue channels to that in the green channel, which results in an alignment of the position of the edges while simultaneously performing a deblurring process on the edges. Experimental results show that the proposed method can effectively remove even significant CA artifacts such as the purple fringing artifact.

Original languageEnglish
Title of host publicationProceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010
Pages179-183
Number of pages5
Publication statusPublished - 2010 Jul 20
Event11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010 - Innsbruck, Austria
Duration: 2010 Feb 172010 Feb 19

Publication series

NameProceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010

Other

Other11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010
CountryAustria
CityInnsbruck
Period10/2/1710/2/19

Fingerprint

Poisson equation
Aberrations
Partial differential equations

All Science Journal Classification (ASJC) codes

  • Computer Graphics and Computer-Aided Design
  • Computer Vision and Pattern Recognition

Cite this

Kang, H., & Kang, M. G. (2010). Chromatic aberration reduction based on the use of nonlinear poisson equation. In Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010 (pp. 179-183). (Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010).
Kang, Hee ; Kang, Moon Gi. / Chromatic aberration reduction based on the use of nonlinear poisson equation. Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010. 2010. pp. 179-183 (Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010).
@inproceedings{093867fe493a47d9bf47143df0cc3f0e,
title = "Chromatic aberration reduction based on the use of nonlinear poisson equation",
abstract = "This paper presents a chromatic aberration (CA) reduction technique to remove the lateral CA and longitudinal CA, simultaneously. In general, most visible CA-related artifacts appear locally in the neighborhoods of strong edges. Since these artifacts usually have local characteristics, they cannot be removed well by the conventional methods based on global warping methods. Therefore, we designed a partial differential equation (PDE) in which the characteristics of CA are taken into account. The PDE leads to the nonlinear Poisson equation by using Eular-lagrange equation. The proposed Poisson equation matches the gradients of the edges in the red and blue channels to that in the green channel, which results in an alignment of the position of the edges while simultaneously performing a deblurring process on the edges. Experimental results show that the proposed method can effectively remove even significant CA artifacts such as the purple fringing artifact.",
author = "Hee Kang and Kang, {Moon Gi}",
year = "2010",
month = "7",
day = "20",
language = "English",
isbn = "9780889868243",
series = "Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010",
pages = "179--183",
booktitle = "Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010",

}

Kang, H & Kang, MG 2010, Chromatic aberration reduction based on the use of nonlinear poisson equation. in Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010. Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010, pp. 179-183, 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010, Innsbruck, Austria, 10/2/17.

Chromatic aberration reduction based on the use of nonlinear poisson equation. / Kang, Hee; Kang, Moon Gi.

Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010. 2010. p. 179-183 (Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Chromatic aberration reduction based on the use of nonlinear poisson equation

AU - Kang, Hee

AU - Kang, Moon Gi

PY - 2010/7/20

Y1 - 2010/7/20

N2 - This paper presents a chromatic aberration (CA) reduction technique to remove the lateral CA and longitudinal CA, simultaneously. In general, most visible CA-related artifacts appear locally in the neighborhoods of strong edges. Since these artifacts usually have local characteristics, they cannot be removed well by the conventional methods based on global warping methods. Therefore, we designed a partial differential equation (PDE) in which the characteristics of CA are taken into account. The PDE leads to the nonlinear Poisson equation by using Eular-lagrange equation. The proposed Poisson equation matches the gradients of the edges in the red and blue channels to that in the green channel, which results in an alignment of the position of the edges while simultaneously performing a deblurring process on the edges. Experimental results show that the proposed method can effectively remove even significant CA artifacts such as the purple fringing artifact.

AB - This paper presents a chromatic aberration (CA) reduction technique to remove the lateral CA and longitudinal CA, simultaneously. In general, most visible CA-related artifacts appear locally in the neighborhoods of strong edges. Since these artifacts usually have local characteristics, they cannot be removed well by the conventional methods based on global warping methods. Therefore, we designed a partial differential equation (PDE) in which the characteristics of CA are taken into account. The PDE leads to the nonlinear Poisson equation by using Eular-lagrange equation. The proposed Poisson equation matches the gradients of the edges in the red and blue channels to that in the green channel, which results in an alignment of the position of the edges while simultaneously performing a deblurring process on the edges. Experimental results show that the proposed method can effectively remove even significant CA artifacts such as the purple fringing artifact.

UR - http://www.scopus.com/inward/record.url?scp=77954590362&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954590362&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:77954590362

SN - 9780889868243

T3 - Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010

SP - 179

EP - 183

BT - Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010

ER -

Kang H, Kang MG. Chromatic aberration reduction based on the use of nonlinear poisson equation. In Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010. 2010. p. 179-183. (Proceedings of the 11th IASTED International Conference on Computer Graphics and Imaging, CGIM 2010).