Singular spectrum analysis-based image sub-band decomposition filter banks
Abstract This paper presents a novel type of a filter bank for image decomposition that incorporates “singular spectrum analysis” (SSA). SSA is based on “singular value decomposition” (SVD).The presented filter banks provide good directional selectivity. Sub-band images highlight exposed directional...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-06-01
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| Series: | EURASIP Journal on Advances in Signal Processing |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13634-020-00685-4 |
| _version_ | 1828292281400033280 |
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| author | Julia Evers Florian Evers Florian Goppelt Ronald Schmidt-Vollus |
| author_facet | Julia Evers Florian Evers Florian Goppelt Ronald Schmidt-Vollus |
| author_sort | Julia Evers |
| collection | DOAJ |
| description | Abstract This paper presents a novel type of a filter bank for image decomposition that incorporates “singular spectrum analysis” (SSA). SSA is based on “singular value decomposition” (SVD).The presented filter banks provide good directional selectivity. Sub-band images highlight exposed directional features such as 0∘,90∘,+ 45∘, and − 45∘ of the input image. The proposed method can be seen as a tool to separate an image into layers or to present an image as a sum of its high-frequency directional components and a low-frequency approximation. |
| first_indexed | 2024-04-13T11:05:00Z |
| format | Article |
| id | doaj.art-ef7ac1bf2ed64ff5863ff8efbf24112e |
| institution | Directory Open Access Journal |
| issn | 1687-6180 |
| language | English |
| last_indexed | 2024-04-13T11:05:00Z |
| publishDate | 2020-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | EURASIP Journal on Advances in Signal Processing |
| spelling | doaj.art-ef7ac1bf2ed64ff5863ff8efbf24112e2022-12-22T02:49:17ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61802020-06-012020111810.1186/s13634-020-00685-4Singular spectrum analysis-based image sub-band decomposition filter banksJulia Evers0Florian Evers1Florian Goppelt2Ronald Schmidt-Vollus3Nueremberg Campus of Technology, Technische Hochschule Nueremberg Georg Simon OhmIndependent researcherNueremberg Campus of Technology, Technische Hochschule Nueremberg Georg Simon OhmNueremberg Campus of Technology, Technische Hochschule Nueremberg Georg Simon OhmAbstract This paper presents a novel type of a filter bank for image decomposition that incorporates “singular spectrum analysis” (SSA). SSA is based on “singular value decomposition” (SVD).The presented filter banks provide good directional selectivity. Sub-band images highlight exposed directional features such as 0∘,90∘,+ 45∘, and − 45∘ of the input image. The proposed method can be seen as a tool to separate an image into layers or to present an image as a sum of its high-frequency directional components and a low-frequency approximation.http://link.springer.com/article/10.1186/s13634-020-00685-4Singular spectrum analysisSingular value decompositionDirectional selectivityFilter bankWavelet transformSub-band decomposition |
| spellingShingle | Julia Evers Florian Evers Florian Goppelt Ronald Schmidt-Vollus Singular spectrum analysis-based image sub-band decomposition filter banks EURASIP Journal on Advances in Signal Processing Singular spectrum analysis Singular value decomposition Directional selectivity Filter bank Wavelet transform Sub-band decomposition |
| title | Singular spectrum analysis-based image sub-band decomposition filter banks |
| title_full | Singular spectrum analysis-based image sub-band decomposition filter banks |
| title_fullStr | Singular spectrum analysis-based image sub-band decomposition filter banks |
| title_full_unstemmed | Singular spectrum analysis-based image sub-band decomposition filter banks |
| title_short | Singular spectrum analysis-based image sub-band decomposition filter banks |
| title_sort | singular spectrum analysis based image sub band decomposition filter banks |
| topic | Singular spectrum analysis Singular value decomposition Directional selectivity Filter bank Wavelet transform Sub-band decomposition |
| url | http://link.springer.com/article/10.1186/s13634-020-00685-4 |
| work_keys_str_mv | AT juliaevers singularspectrumanalysisbasedimagesubbanddecompositionfilterbanks AT florianevers singularspectrumanalysisbasedimagesubbanddecompositionfilterbanks AT floriangoppelt singularspectrumanalysisbasedimagesubbanddecompositionfilterbanks AT ronaldschmidtvollus singularspectrumanalysisbasedimagesubbanddecompositionfilterbanks |