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Volume 9, Issue 1
A Rudin-Osher-Fatemi Model-Based Pansharpening Approach Using RKHS and AHF Representation

Jun Liu, Liang-Jian Deng, Faming Fang & Tieyong Zeng

DOI: 10.4208/eajam.150818.061118

East Asian J. Appl. Math., 9 (2019), pp. 13-27.

Published online: 2019-01

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  • Abstract

A pansharpening method based on the Rudin-Osher-Fatemi model and using a reproducing kernel Hilbert space along with the approximated Heaviside function is developed. The corresponding minimisation problem is solved by the alternating direction method of multipliers. Numerous numerical experiments with Pléiades and IKONOS satellite datasets demonstrate the efficiency of the method in preserving spectral and spatial information and show its superiority to other approaches.

  • Keywords

Multi-spectral image, reproducing kernel Hilbert space, pansharpening, approximated Heaviside function.

  • AMS Subject Headings

47N10, 65C20, 68U10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-9-13, author = {Jun Liu, Liang-Jian Deng, Faming Fang and Tieyong Zeng}, title = {A Rudin-Osher-Fatemi Model-Based Pansharpening Approach Using RKHS and AHF Representation}, journal = {East Asian Journal on Applied Mathematics}, year = {2019}, volume = {9}, number = {1}, pages = {13--27}, abstract = {

A pansharpening method based on the Rudin-Osher-Fatemi model and using a reproducing kernel Hilbert space along with the approximated Heaviside function is developed. The corresponding minimisation problem is solved by the alternating direction method of multipliers. Numerous numerical experiments with Pléiades and IKONOS satellite datasets demonstrate the efficiency of the method in preserving spectral and spatial information and show its superiority to other approaches.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.150818.061118}, url = {http://global-sci.org/intro/article_detail/eajam/12932.html} }
TY - JOUR T1 - A Rudin-Osher-Fatemi Model-Based Pansharpening Approach Using RKHS and AHF Representation AU - Jun Liu, Liang-Jian Deng, Faming Fang & Tieyong Zeng JO - East Asian Journal on Applied Mathematics VL - 1 SP - 13 EP - 27 PY - 2019 DA - 2019/01 SN - 9 DO - http://doi.org/10.4208/eajam.150818.061118 UR - https://global-sci.org/intro/article_detail/eajam/12932.html KW - Multi-spectral image, reproducing kernel Hilbert space, pansharpening, approximated Heaviside function. AB -

A pansharpening method based on the Rudin-Osher-Fatemi model and using a reproducing kernel Hilbert space along with the approximated Heaviside function is developed. The corresponding minimisation problem is solved by the alternating direction method of multipliers. Numerous numerical experiments with Pléiades and IKONOS satellite datasets demonstrate the efficiency of the method in preserving spectral and spatial information and show its superiority to other approaches.

Jun Liu, Liang-Jian Deng, Faming Fang and Tieyong Zeng. (2019). A Rudin-Osher-Fatemi Model-Based Pansharpening Approach Using RKHS and AHF Representation. East Asian Journal on Applied Mathematics. 9 (1). 13-27. doi:10.4208/eajam.150818.061118
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