Multi-Focus Image Fusion Using Geometric Algebra Based Discrete Fourier Transform
For color image fusion, existing traditional algorithms regard each color image pixel as a scalar which may lose the relationships among spectral channels. In this paper, a novel multi-focus image fusion algorithm using geometric algebra based Discrete Fourier Transform (GA-DFT) is proposed. First,...
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9040559/ |
| _version_ | 1818932144939991040 |
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| author | Yanping Li Shengming Jiang |
| author_facet | Yanping Li Shengming Jiang |
| author_sort | Yanping Li |
| collection | DOAJ |
| description | For color image fusion, existing traditional algorithms regard each color image pixel as a scalar which may lose the relationships among spectral channels. In this paper, a novel multi-focus image fusion algorithm using geometric algebra based Discrete Fourier Transform (GA-DFT) is proposed. First, a novel Discrete Fourier Transform based on geometric algebra (GA) is provided. Second, the proposed algorithm represents the color image as a GA multivector by mapping the RGB channels into the GA space. Third, the variance is selected as a contrast measure to fuse the source images in GA space. The experimental results demonstrate that the proposed algorithm can achieve the comparable performance with its counterparts in terms of subjective quality evaluation, and outperform most of the traditional algorithms in terms of objective quality metrics, indicating good performance in image fusion applications. |
| first_indexed | 2024-12-20T04:27:49Z |
| format | Article |
| id | doaj.art-3bcd605c790f436884464fb2fc85afd1 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-20T04:27:49Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-3bcd605c790f436884464fb2fc85afd12022-12-21T19:53:28ZengIEEEIEEE Access2169-35362020-01-018600196002810.1109/ACCESS.2020.29818149040559Multi-Focus Image Fusion Using Geometric Algebra Based Discrete Fourier TransformYanping Li0https://orcid.org/0000-0002-0074-7695Shengming Jiang1College of Information Engineering, Shanghai Maritime University, Shanghai, ChinaCollege of Information Engineering, Shanghai Maritime University, Shanghai, ChinaFor color image fusion, existing traditional algorithms regard each color image pixel as a scalar which may lose the relationships among spectral channels. In this paper, a novel multi-focus image fusion algorithm using geometric algebra based Discrete Fourier Transform (GA-DFT) is proposed. First, a novel Discrete Fourier Transform based on geometric algebra (GA) is provided. Second, the proposed algorithm represents the color image as a GA multivector by mapping the RGB channels into the GA space. Third, the variance is selected as a contrast measure to fuse the source images in GA space. The experimental results demonstrate that the proposed algorithm can achieve the comparable performance with its counterparts in terms of subjective quality evaluation, and outperform most of the traditional algorithms in terms of objective quality metrics, indicating good performance in image fusion applications.https://ieeexplore.ieee.org/document/9040559/Geometric algebraDiscrete Fourier Transform (DFT)multivectormulti-focus image fusion |
| spellingShingle | Yanping Li Shengming Jiang Multi-Focus Image Fusion Using Geometric Algebra Based Discrete Fourier Transform IEEE Access Geometric algebra Discrete Fourier Transform (DFT) multivector multi-focus image fusion |
| title | Multi-Focus Image Fusion Using Geometric Algebra Based Discrete Fourier Transform |
| title_full | Multi-Focus Image Fusion Using Geometric Algebra Based Discrete Fourier Transform |
| title_fullStr | Multi-Focus Image Fusion Using Geometric Algebra Based Discrete Fourier Transform |
| title_full_unstemmed | Multi-Focus Image Fusion Using Geometric Algebra Based Discrete Fourier Transform |
| title_short | Multi-Focus Image Fusion Using Geometric Algebra Based Discrete Fourier Transform |
| title_sort | multi focus image fusion using geometric algebra based discrete fourier transform |
| topic | Geometric algebra Discrete Fourier Transform (DFT) multivector multi-focus image fusion |
| url | https://ieeexplore.ieee.org/document/9040559/ |
| work_keys_str_mv | AT yanpingli multifocusimagefusionusinggeometricalgebrabaseddiscretefouriertransform AT shengmingjiang multifocusimagefusionusinggeometricalgebrabaseddiscretefouriertransform |