Uncertainty principles for the continuous shearlet transforms in arbitrary space dimensions
نویسندگان
چکیده
منابع مشابه
The Continuous Shearlet Transform in Arbitrary Space Dimensions
This note is concerned with the generalization of the continuous shearlet transform to higher dimensions. Similar to the twodimensional case, our approach is based on translations, anisotropic dilations and specific shear matrices. We show that the associated integral transform again originates from a square-integrable representation of a specific group, the full n-variate shearlet group. Moreo...
متن کاملThe Continuous Shearlet Transform in Arbitrary Space Dimensions, Frame Construction, and Analysis of Singularities
This note is concerned with the generalization of the continuous shearlet transform to higher dimensions. Similar to the two-dimensional case, our approach is based on translations, anisotropic dilations and specific shear matrices. We show that the associated integral transform again originates from a square-integrable representation of a specific group, the full n-variate shearlet group. More...
متن کاملHeisenberg type uncertainty principle for continuous shearlet transform
We prove a Heisenberg type uncertainty principle for the continuous shearlet transform, and study two generalizations of it. Our work extends the shearlet theory. c ©2016 All rights reserved.
متن کاملThe Uncertainty Principle Associated with the Continuous Shearlet Transform
Finding optimal representations of signals in higher dimensions, in particular directional representations, is currently the subject of intensive research. Since it might be difficult to obtain directional information by means of wavelets, several new representation systems were proposed in the past, including ridgelets, curvelets and, more recently, shearlets. In this paper we study and visual...
متن کاملDigital Shearlet Transforms
Over the past years, various representation systems which sparsely approximate functions governed by anisotropic features such as edges in images have been proposed. We exemplarily mention the systems of contourlets, curvelets, and shearlets. Alongside the theoretical development of these systems, algorithmic realizations of the associated transforms were provided. However, one of the most comm...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Integral Transforms and Special Functions
سال: 2020
ISSN: 1065-2469,1476-8291
DOI: 10.1080/10652469.2019.1707816