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

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 = {}, 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 JO - East Asian Journal on Applied Mathematics VL - 1 SP - 13 EP - 27 PY - 2019 DA - 2019/01 SN - 9 DO - http://dor.org/10.4208/eajam.150818.061118 UR - https://global-sci.org/intro/article_detail/eajam/12932.html KW - Multi-spectral image KW - reproducing kernel Hilbert space KW - pansharpening KW - 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 & Tieyong Zeng. (2020). 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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