Total Variation Gamma Correction Method for Tone Mapped HDR Images

Michael K. Ng; Motong Qiao

doi:10.1007/978-981-16-2701-9_7

Total Variation Gamma Correction Method for Tone Mapped HDR Images

Michael K. Ng^*, Motong Qiao

^*Corresponding author for this work

Department of Mathematics

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

Abstract

Tone mapping methods aim to display a high dynamic range (HDR) image on a common 8-bit liquid crystal display by compressing its dynamic range. Both color rendering and contrast are two important issues in the development of tone mapping methods. In this paper, we propose a variational method to generate low dynamic range (LDR) images by using localized Gamma correction for HDR images to deal with color rendering and contrast issues. Our idea is to employ a weight map that controls localized Gamma correction in each pixel, and the weights are determined by minimizing the differences between the contrast of the original HRD image and that of the LDR image at nearby pixels. By imposing the regularization of the weight map, the total variational term for the weights is incorporated in the objective function for Gamma correction process. Numerical results based on widely-used HDR images are reported to illustrate the effectiveness of the proposed method and the visibility of the details in tone mapped images compared with the other testing methods.

Original language	English
Title of host publication	Mathematical Methods in Image Processing and Inverse Problems
Subtitle of host publication	IPIP 2018, Beijing, China, April 21–24
Editors	Xue-Cheng Tai, Suhua Wei, Haiguang Liu
Place of Publication	Singapore
Publisher	Springer
Pages	113-138
Number of pages	26
Edition	1st
ISBN (Electronic)	9789811627019
ISBN (Print)	9789811627002, 9789811627033
DOIs	https://doi.org/10.1007/978-981-16-2701-9_7
Publication status	Published - 25 Sept 2021
Event	International Workshop on Image Processing and Inverse Problems, IPIP 2018 - Beijing, China Duration: 21 Apr 2018 → 24 Apr 2018 https://link.springer.com/book/10.1007/978-981-16-2701-9

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	360
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Name	IPIP: International Workshop On Image Processing and Inverse Problems

Conference

Conference	International Workshop on Image Processing and Inverse Problems, IPIP 2018
Country/Territory	China
City	Beijing
Period	21/04/18 → 24/04/18
Internet address	https://link.springer.com/book/10.1007/978-981-16-2701-9

Scopus Subject Areas

Mathematics(all)

User-Defined Keywords

Dynamic range
Gamma correction
Tone mapping
Total variation

Access to Document

10.1007/978-981-16-2701-9_7

Cite this

Ng, M. K., & Qiao, M. (2021). Total Variation Gamma Correction Method for Tone Mapped HDR Images. In X.-C. Tai, S. Wei, & H. Liu (Eds.), Mathematical Methods in Image Processing and Inverse Problems: IPIP 2018, Beijing, China, April 21–24 (1st ed., pp. 113-138). (Springer Proceedings in Mathematics and Statistics; Vol. 360), (IPIP: International Workshop On Image Processing and Inverse Problems). Springer. https://doi.org/10.1007/978-981-16-2701-9_7

Ng, Michael K. ; Qiao, Motong. / Total Variation Gamma Correction Method for Tone Mapped HDR Images. Mathematical Methods in Image Processing and Inverse Problems: IPIP 2018, Beijing, China, April 21–24. editor / Xue-Cheng Tai ; Suhua Wei ; Haiguang Liu. 1st. ed. Singapore : Springer, 2021. pp. 113-138 (Springer Proceedings in Mathematics and Statistics). (IPIP: International Workshop On Image Processing and Inverse Problems).

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title = "Total Variation Gamma Correction Method for Tone Mapped HDR Images",

abstract = "Tone mapping methods aim to display a high dynamic range (HDR) image on a common 8-bit liquid crystal display by compressing its dynamic range. Both color rendering and contrast are two important issues in the development of tone mapping methods. In this paper, we propose a variational method to generate low dynamic range (LDR) images by using localized Gamma correction for HDR images to deal with color rendering and contrast issues. Our idea is to employ a weight map that controls localized Gamma correction in each pixel, and the weights are determined by minimizing the differences between the contrast of the original HRD image and that of the LDR image at nearby pixels. By imposing the regularization of the weight map, the total variational term for the weights is incorporated in the objective function for Gamma correction process. Numerical results based on widely-used HDR images are reported to illustrate the effectiveness of the proposed method and the visibility of the details in tone mapped images compared with the other testing methods.",

keywords = "Dynamic range, Gamma correction, Tone mapping, Total variation",

author = "Ng, {Michael K.} and Motong Qiao",

note = "Research supported in part by the HKRGC GRF 12200317, 12300218 and 12300519, 17201020 and HKU Grant 104005583. Publisher Copyright: {\textcopyright} 2021, Springer Nature Singapore Pte Ltd.; International Workshop on Image Processing and Inverse Problems, IPIP 2018 ; Conference date: 21-04-2018 Through 24-04-2018",

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doi = "10.1007/978-981-16-2701-9_7",

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Ng, MK & Qiao, M 2021, Total Variation Gamma Correction Method for Tone Mapped HDR Images. in X-C Tai, S Wei & H Liu (eds), Mathematical Methods in Image Processing and Inverse Problems: IPIP 2018, Beijing, China, April 21–24. 1st edn, Springer Proceedings in Mathematics and Statistics, vol. 360, IPIP: International Workshop On Image Processing and Inverse Problems, Springer, Singapore, pp. 113-138, International Workshop on Image Processing and Inverse Problems, IPIP 2018, Beijing, China, 21/04/18. https://doi.org/10.1007/978-981-16-2701-9_7

Total Variation Gamma Correction Method for Tone Mapped HDR Images. / Ng, Michael K.; Qiao, Motong.
Mathematical Methods in Image Processing and Inverse Problems: IPIP 2018, Beijing, China, April 21–24. ed. / Xue-Cheng Tai; Suhua Wei; Haiguang Liu. 1st. ed. Singapore: Springer, 2021. p. 113-138 (Springer Proceedings in Mathematics and Statistics; Vol. 360), (IPIP: International Workshop On Image Processing and Inverse Problems).

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

TY - GEN

T1 - Total Variation Gamma Correction Method for Tone Mapped HDR Images

AU - Ng, Michael K.

AU - Qiao, Motong

PY - 2021/9/25

Y1 - 2021/9/25

N2 - Tone mapping methods aim to display a high dynamic range (HDR) image on a common 8-bit liquid crystal display by compressing its dynamic range. Both color rendering and contrast are two important issues in the development of tone mapping methods. In this paper, we propose a variational method to generate low dynamic range (LDR) images by using localized Gamma correction for HDR images to deal with color rendering and contrast issues. Our idea is to employ a weight map that controls localized Gamma correction in each pixel, and the weights are determined by minimizing the differences between the contrast of the original HRD image and that of the LDR image at nearby pixels. By imposing the regularization of the weight map, the total variational term for the weights is incorporated in the objective function for Gamma correction process. Numerical results based on widely-used HDR images are reported to illustrate the effectiveness of the proposed method and the visibility of the details in tone mapped images compared with the other testing methods.

AB - Tone mapping methods aim to display a high dynamic range (HDR) image on a common 8-bit liquid crystal display by compressing its dynamic range. Both color rendering and contrast are two important issues in the development of tone mapping methods. In this paper, we propose a variational method to generate low dynamic range (LDR) images by using localized Gamma correction for HDR images to deal with color rendering and contrast issues. Our idea is to employ a weight map that controls localized Gamma correction in each pixel, and the weights are determined by minimizing the differences between the contrast of the original HRD image and that of the LDR image at nearby pixels. By imposing the regularization of the weight map, the total variational term for the weights is incorporated in the objective function for Gamma correction process. Numerical results based on widely-used HDR images are reported to illustrate the effectiveness of the proposed method and the visibility of the details in tone mapped images compared with the other testing methods.

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ER -

Ng MK, Qiao M. Total Variation Gamma Correction Method for Tone Mapped HDR Images. In Tai XC, Wei S, Liu H, editors, Mathematical Methods in Image Processing and Inverse Problems: IPIP 2018, Beijing, China, April 21–24. 1st ed. Singapore: Springer. 2021. p. 113-138. (Springer Proceedings in Mathematics and Statistics). (IPIP: International Workshop On Image Processing and Inverse Problems). doi: 10.1007/978-981-16-2701-9_7

Total Variation Gamma Correction Method for Tone Mapped HDR Images

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