Dual Gramian analysis: duality principle and unitary extension principle

Z Fan, H Ji, Z Shen - Mathematics of Computation, 2016 - ams.org
Dual Gramian analysis is one of the fundamental tools developed in a series of papers by
Amos Ron and Zouwei Shen for studying frames. Using dual Gramian analysis, the frame …

An algebraic perspective on multivariate tight wavelet frames

M Charina, M Putinar, C Scheiderer… - Constructive Approximation, 2013 - Springer
Recent advances in real algebraic geometry and in the theory of polynomial optimization are
applied to answer some open questions in the theory of multivariate tight wavelet frames …

[PDF][PDF] Admissible diffusion wavelets and their applications in space-frequency processing

T Hou, H Qin - IEEE Transactions on Visualization and …, 2013 - scholar.archive.org
As signal processing tools, diffusion wavelets and biorthogonal diffusion wavelets have
been propelled by recent research in mathematics. They employ diffusion as a smoothing …

[HTML][HTML] A family of nonseparable scaling functions and compactly supported tight framelets

A San Antolin, RA Zalik - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
Given integers b and d, with d> 1 and| b|> 1, we construct even nonseparable compactly
supported refinable functions with dilation factor b that generate multiresolution analyses on …

On construction of multivariate Parseval wavelet frames

M Skopina - Applied Mathematics and Computation, 2017 - Elsevier
A new method for the construction of compactly supported Parseval wavelet frames in L 2 (R
d) with any preassigned approximation order n for arbitrary matrix dilation M is proposed …

[Књига][B] Diffusion-driven wavelet design for shape analysis

T Hou, H Qin - 2014 - books.google.com
From Design Methods and Generation Schemes to State-of-the-Art Applications Wavelets
are powerful tools for functional analysis and geometry processing, enabling researchers to …

[PDF][PDF] 基于逼**型细分的诱导细分格式

亓万锋, 罗钟铉, 樊鑫 - **科学: 数学, 2014 - researchgate.net
摘要利用逼**型细分构造插值型细分是细分领域中的一个重要问题, 目前可以给出插值型细分
生成函数的研究还非常少. 本文给出一个生成函数的统一公式, 该公式由逼**型细分的生成函数 …

A real algebra perspective on multivariate tight wavelet frames

M Charina, M Putinar, C Scheiderer… - arxiv preprint arxiv …, 2012 - arxiv.org
Recent results from real algebraic geometry and the theory of polynomial optimization are
related in a new framework to the existence question of multivariate tight wavelet frames …

Construction of nonseparable symmetric tight wavelet frames of L2(ℝn).

Y Feng, Y Li, Y Shen, S Yang - Journal of Computational …, 2013 - search.ebscohost.com
In this paper, we provide a general method for constructing multivariate nonseparable tight
wavelet frames from any given univariate tight wavelet frames. The constructed tight wavelet …

DIFFUSION-DRIVEN WAVELET DESIGN

HOU TINGBO, QIN HONG - api.taylorfrancis.com
Diffusion-Driven Wavelet Design for Shape Analysis Page 1 TINGBO HOU • HONG QIN
DIFFUSION-DRIVEN WAVELET DESIGN for SHAPE ANALYSIS AN AK PETERS BOOK Page …