Some remarks on cone-adapted shearlets

Author:

Dahlke StephanORCID,Teschke GerdORCID

Abstract

AbstractIn recent years, cone-adapted shearlets have been established as a powerful tool for the detection of directional information in images. It has also turned out that an interpretation of cone-adapted shearlets in the realm of coorbit space theory exists. Then, cone-adapted shearlets are defined by requiring a certain sparsity pattern of the frame expansion coefficients. In this note, we discuss some structural properties of these spaces.

Funder

Hochschule Neubrandenburg

Publisher

Springer Science and Business Media LLC

Reference33 articles.

1. Borup, L., Nielsen, M.: Frame decomposition of decomposition spaces. J. Fourier Anal. Appl., to appear

2. Candès, E.J., Donoho, D.L.: Ridgelets: a key to higher-dimensional intermittency? Phil. Trans. R. Soc. Lond. A. 357, 2495–2509 (1999)

3. Candès, E.J., Donoho, D.L.: Curvelets - A surprisingly effective nonadaptive representation for objects with edges. In: Schumaker, L.L., et al. (eds.) Curves and Surfaces. Vanderbilt University Press, Nashville,TN (1999)

4. Dahlke, S., Fornasier, M., Rauhut, H., Steidl, G., Teschke, G.: Generalized coorbit theory, Banach frames, and the relations to alpha–modulation spaces, Preprint (2005)

5. Dahlke, S., Kutyniok, G., Maass, P., Sagiv, C., Stark, H.-G., Teschke, G.: The uncertainty principle associated with the continuous shearlet transform. Int. J. Wavelets Multiresolut. Inf. Process. 6(2), 157–181 (2008)

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3