Item Infomation
Title: | Direction sensitive analysis of higher order jump discontinuities along circles on the sphere |
Authors: | Frederic, Schoppert |
Issue Date: | 2023 |
Publisher: | Springer |
Abstract: | 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. |
Description: | CC BY |
URI: | https://link.springer.com/article/10.1007/s13137-023-00217-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7599 |
Appears in Collections | OER - Khoa học Tự nhiên |
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