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Direction sensitive analysis of higher order jump discontinuities along circles on the sphere

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Bibliographic Details
Main Author: Frederic, Schoppert
Format: Book
Language:English
Published: Springer 2023
Subjects:
scale-discretized directional wavelets
band-limited signals
Online Access:https://link.springer.com/article/10.1007/s13137-023-00217-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7599
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spelling 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 8.893527

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