Multidimensional Gabor-Like Filters Derived from Gaussian Functions on Logarithmic Frequency Axes
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929244092760064 |
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| author | Devakumar, Dherik Eidheim, Ole Christian |
| author_facet | Devakumar, Dherik Eidheim, Ole Christian |
| contents | A novel wavelet-like function is presented that makes it convenient to create filter banks given mainly two parameters that influence the focus area and the filter count. This is accomplished by computing the inverse Fourier transform of Gaussian functions on logarithmic frequency axes in the frequency domain. The resulting filters are similar to Gabor filters and represent oriented brief signal oscillations of different sizes. The wavelet-like function can be thought of as a generalized Log-Gabor filter that is multidimensional, always uses Gaussian functions on logarithmic frequency axes, and innately includes low-pass filters from Gaussian functions located at the frequency domain origin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09419 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multidimensional Gabor-Like Filters Derived from Gaussian Functions on Logarithmic Frequency Axes Devakumar, Dherik Eidheim, Ole Christian Signal Processing Computer Vision and Pattern Recognition Machine Learning Neural and Evolutionary Computing A novel wavelet-like function is presented that makes it convenient to create filter banks given mainly two parameters that influence the focus area and the filter count. This is accomplished by computing the inverse Fourier transform of Gaussian functions on logarithmic frequency axes in the frequency domain. The resulting filters are similar to Gabor filters and represent oriented brief signal oscillations of different sizes. The wavelet-like function can be thought of as a generalized Log-Gabor filter that is multidimensional, always uses Gaussian functions on logarithmic frequency axes, and innately includes low-pass filters from Gaussian functions located at the frequency domain origin. |
| title | Multidimensional Gabor-Like Filters Derived from Gaussian Functions on Logarithmic Frequency Axes |
| topic | Signal Processing Computer Vision and Pattern Recognition Machine Learning Neural and Evolutionary Computing |
| url | https://arxiv.org/abs/2402.09419 |