Direction sensitive analysis of higher order jump discontinuities along circles on the sphere
CC BY
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s13137-023-00217-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7599 |
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oai:localhost:PNK-75992023-04-05T09:30:43Z Direction sensitive analysis of higher order jump discontinuities along circles on the sphere Frederic, Schoppert scale-discretized directional wavelets band-limited signals CC BY In recent years, scale-discretized directional wavelets and second-generation curvelets have been introduced on the unit sphere, yielding directional and localized polynomial frames for band-limited signals. In this paper, we show that these functions are able to detect the positions and orientations of all higher order jump discontinuities which lie along circles on the 2-sphere. Specifically, we prove upper and lower estimates for the magnitude of the corresponding inner products when the analysis function is concentrated in the neighborhood of such a singularity. 2023-04-05T09:30:43Z 2023-04-05T09:30:43Z 2023 Book https://link.springer.com/article/10.1007/s13137-023-00217-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7599 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
scale-discretized directional wavelets band-limited signals |
| spellingShingle |
scale-discretized directional wavelets band-limited signals Frederic, Schoppert Direction sensitive analysis of higher order jump discontinuities along circles on the sphere |
| description |
CC BY |
| format |
Book |
| author |
Frederic, Schoppert |
| author_facet |
Frederic, Schoppert |
| author_sort |
Frederic, Schoppert |
| title |
Direction sensitive analysis of higher order jump discontinuities along circles on the sphere |
| title_short |
Direction sensitive analysis of higher order jump discontinuities along circles on the sphere |
| title_full |
Direction sensitive analysis of higher order jump discontinuities along circles on the sphere |
| title_fullStr |
Direction sensitive analysis of higher order jump discontinuities along circles on the sphere |
| title_full_unstemmed |
Direction sensitive analysis of higher order jump discontinuities along circles on the sphere |
| title_sort |
direction sensitive analysis of higher order jump discontinuities along circles on the sphere |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s13137-023-00217-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7599 |
| _version_ |
1762365505723695104 |
| score |
8.887836 |