Holistic Processing of Colour Images Using Novel Quaternion-Valued Wavelets on the Plane
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917564124233728 |
|---|---|
| author | Dizon, Neil D. Hogan, Jeffrey A. |
| author_facet | Dizon, Neil D. Hogan, Jeffrey A. |
| contents | Recently, novel quaternion-valued wavelets on the plane were constructed using an optimisation approach. These wavelets are compactly supported, smooth, orthonormal, non-separable and truly quaternionic. However, they have not been tested in application. In this paper, we introduce a methodology for decomposing and reconstructing colour images using quaternionic wavelet filters associated to recently developed quaternion-valued wavelets on the plane. We investigate its applicability in compression, enhancement, segmentation, and denoising of colour images. Our results demonstrate these wavelets as promising tools for an end-to-end quaternion processing of colour images. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_16875 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Holistic Processing of Colour Images Using Novel Quaternion-Valued Wavelets on the Plane Dizon, Neil D. Hogan, Jeffrey A. Computer Vision and Pattern Recognition Numerical Analysis 65T60, 68U10, 94A08 Recently, novel quaternion-valued wavelets on the plane were constructed using an optimisation approach. These wavelets are compactly supported, smooth, orthonormal, non-separable and truly quaternionic. However, they have not been tested in application. In this paper, we introduce a methodology for decomposing and reconstructing colour images using quaternionic wavelet filters associated to recently developed quaternion-valued wavelets on the plane. We investigate its applicability in compression, enhancement, segmentation, and denoising of colour images. Our results demonstrate these wavelets as promising tools for an end-to-end quaternion processing of colour images. |
| title | Holistic Processing of Colour Images Using Novel Quaternion-Valued Wavelets on the Plane |
| topic | Computer Vision and Pattern Recognition Numerical Analysis 65T60, 68U10, 94A08 |
| url | https://arxiv.org/abs/2308.16875 |