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- Publisher Website: 10.1016/j.jvcir.2015.10.019
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Article: An image pixel based variational model for histogram equalization
Title | An image pixel based variational model for histogram equalization |
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Authors | |
Keywords | Contrast enhancement Energy functional Euler Lagrange equation Histogram equalization Histogram transfer Variational approach Alternating minimization Algorithm |
Issue Date | 2016 |
Citation | Journal of Visual Communication and Image Representation, 2016, v. 34, p. 118-134 How to Cite? |
Abstract | © 2015 Elsevier Inc. All rights reserved. In this paper, we develop an image pixel based histogram equalization model for image contrast enhancement. The approach is to propose a variational model containing an energy functional to adjust the pixel values of an input image directly so that the resulting histogram can be redistributed to be uniform. This idea is different from existing histogram equalization algorithms where a histogram based on the input image is constructed, a mapping is determined to output a uniform histogram and then the pixel values of the input image are adjusted based on the mapping. In the variational model, a mean brightness term is incorporated to preserve the brightness of the input image, and a geometry constraint can also be added to keep the geometry structure of the input image. Theoretically, the existence of the minimizer of the proposed model, and the convergence of the proposed algorithm are given. Experimental results are reported to demonstrate that the performance of the proposed model are competitive with the other testing histogram equalization methods for several testing images. |
Persistent Identifier | http://hdl.handle.net/10722/276703 |
ISSN | 2021 Impact Factor: 2.887 2020 SCImago Journal Rankings: 0.502 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Wang, Wei | - |
dc.contributor.author | Chen, Chuan | - |
dc.contributor.author | Ng, Michael K. | - |
dc.date.accessioned | 2019-09-18T08:34:24Z | - |
dc.date.available | 2019-09-18T08:34:24Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | Journal of Visual Communication and Image Representation, 2016, v. 34, p. 118-134 | - |
dc.identifier.issn | 1047-3203 | - |
dc.identifier.uri | http://hdl.handle.net/10722/276703 | - |
dc.description.abstract | © 2015 Elsevier Inc. All rights reserved. In this paper, we develop an image pixel based histogram equalization model for image contrast enhancement. The approach is to propose a variational model containing an energy functional to adjust the pixel values of an input image directly so that the resulting histogram can be redistributed to be uniform. This idea is different from existing histogram equalization algorithms where a histogram based on the input image is constructed, a mapping is determined to output a uniform histogram and then the pixel values of the input image are adjusted based on the mapping. In the variational model, a mean brightness term is incorporated to preserve the brightness of the input image, and a geometry constraint can also be added to keep the geometry structure of the input image. Theoretically, the existence of the minimizer of the proposed model, and the convergence of the proposed algorithm are given. Experimental results are reported to demonstrate that the performance of the proposed model are competitive with the other testing histogram equalization methods for several testing images. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Visual Communication and Image Representation | - |
dc.subject | Contrast enhancement | - |
dc.subject | Energy functional | - |
dc.subject | Euler Lagrange equation | - |
dc.subject | Histogram equalization | - |
dc.subject | Histogram transfer | - |
dc.subject | Variational approach | - |
dc.subject | Alternating minimization | - |
dc.subject | Algorithm | - |
dc.title | An image pixel based variational model for histogram equalization | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.jvcir.2015.10.019 | - |
dc.identifier.scopus | eid_2-s2.0-84948160274 | - |
dc.identifier.volume | 34 | - |
dc.identifier.spage | 118 | - |
dc.identifier.epage | 134 | - |
dc.identifier.eissn | 1095-9076 | - |
dc.identifier.isi | WOS:000368967400011 | - |
dc.identifier.issnl | 1047-3203 | - |