Some invariance properties of the minimum noise fraction transform
The Minimum Noise Fraction (MNF) transform is widely used in the remote sensing and image processing communities, because it is usually better than the Principal Components (PC) transform at compressing and ordering multispectral and hyperspectral images in terms of image “quality”. The MNF transfor...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/29166 |
| _version_ | 1848752731385233408 |
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| author | Berman, M. Phatak, Aloke Traylen, A. |
| author_facet | Berman, M. Phatak, Aloke Traylen, A. |
| author_sort | Berman, M. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The Minimum Noise Fraction (MNF) transform is widely used in the remote sensing and image processing communities, because it is usually better than the Principal Components (PC) transform at compressing and ordering multispectral and hyperspectral images in terms of image “quality”. The MNF transform is also invariant to invertible (i.e. non-singular) linear transformations of multispectral/hyperspectral data, a property not shared by the PC transform. This general invariance property of the MNF transform is proved. Three examples of the general invariance property are provided and discussed: (i) invariance to scaling, (ii) invariance to certain types of background correction, and (iii) invariance to different types of noise. |
| first_indexed | 2025-11-14T08:13:17Z |
| format | Journal Article |
| id | curtin-20.500.11937-29166 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:13:17Z |
| publishDate | 2012 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-291662017-09-13T15:23:06Z Some invariance properties of the minimum noise fraction transform Berman, M. Phatak, Aloke Traylen, A. The Minimum Noise Fraction (MNF) transform is widely used in the remote sensing and image processing communities, because it is usually better than the Principal Components (PC) transform at compressing and ordering multispectral and hyperspectral images in terms of image “quality”. The MNF transform is also invariant to invertible (i.e. non-singular) linear transformations of multispectral/hyperspectral data, a property not shared by the PC transform. This general invariance property of the MNF transform is proved. Three examples of the general invariance property are provided and discussed: (i) invariance to scaling, (ii) invariance to certain types of background correction, and (iii) invariance to different types of noise. 2012 Journal Article http://hdl.handle.net/20.500.11937/29166 10.1016/j.chemolab.2012.02.005 restricted |
| spellingShingle | Berman, M. Phatak, Aloke Traylen, A. Some invariance properties of the minimum noise fraction transform |
| title | Some invariance properties of the minimum noise fraction transform |
| title_full | Some invariance properties of the minimum noise fraction transform |
| title_fullStr | Some invariance properties of the minimum noise fraction transform |
| title_full_unstemmed | Some invariance properties of the minimum noise fraction transform |
| title_short | Some invariance properties of the minimum noise fraction transform |
| title_sort | some invariance properties of the minimum noise fraction transform |
| url | http://hdl.handle.net/20.500.11937/29166 |