Concept

Multiresolution analysis

Related publications (70)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Multiresolution Approximation Using Shifted Splines

Michaël Unser

We consider the construction of least squares pyramids using shifted polynomial spline basis functions. We derive the pre- and post-filters as a function of the degree n and the shift parameter Δ. We show that the underlying projection operator is entirely ...

IEEE1998

Using Iterated Rational Filter Banks Within the ARSIS Concept for Producing 10 m Landsat Multispectral Images

Thierry Blu

The ARSIS concept is designed to increase the spatial resolution of an image without modification of its spectral contents, by merging structures extracted from a higher resolution image of the same scene, but in a different spectral band. It makes use of ...

International Journal of Remote Sensing1998

Shift-Orthogonal Wavelet Bases

Michaël Unser, Philippe Thévenaz

Shift-orthogonal wavelets are a new type of multiresolution wavelet bases that are orthogonal with respect to translation (or shifts) within one level, but not with respect to dilations across scales. In this paper, we characterize these wavelets and inves ...

IEEE1998

A wavelet optimized adaptive multi-domain method

Jan Sickmann Hesthaven

The formulation and implementation of wavelet based methods for the solution of multi-dimensional partial differential equations in complex geometries is discussed. Utilizing the close connection between Daubechies wavelets and finite difference methods on ...

ACADEMIC PRESS INC1998

Comparison of Wavelets from the Point of View of Their Approximation Error

Michaël Unser, Thierry Blu

We present new quantitative results for the characterization of the

L _{ 2 }

-error of wavelet-like expansions as a function of the scale a. This yields an extension as well as a simplification of the asymptotic error formulas that have been published ...

SPIE1998

The spatial structure of turbulence at production wave-numbers using orthonormal wavelet

Marc Parlange, Gabriel George Katul

Orthonormal wavelet expansions are applied to surface-layer measurements of vertical wind speed under various atmospheric stability conditions. The orthonormal wavelet transform allows for the unfolding of these measurements into space and scale simultaneo ...

1995

Bit allocation for dependent quantization with applications to multiresolution and MPEG video coders

Martin Vetterli

We address the problem of efficient bit allocation in a dependent coding environment. While optimal bit allocation for independently coded signal blocks has been studied in the literature, we extend these techniques to the more general temporally and spati ...

1994

Multiresolution broadcast for digital HDTV using joint source-channel coding

Martin Vetterli

The use of multiresolution (MR) joint source-channel coding in the context of digital terrestrial broadcasting of high-definition television (HDTV) is shown to be an efficient alternative to single-resolution techniques, which suffer from a sharp threshold ...

1993

Wavelets and recursive filter banks

Martin Vetterli

It is shown that infinite impulse response (IIR) filters lead to more general wavelets of infinite support than finite impulse response (FIR) filters. A complete constructive method that yields all orthogonal two channel filter banks, where the filters hav ...

1993

Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for R^n

Martin Vetterli

New results on multidimensional filter banks and their connection to multidimensional nonseparable wavelets are presented. Among the topics discussed are sampling in multiple dimensions, multidimensional perfect reconstruction filter banks, the two-channel ...

Institute of Electrical and Electronics Engineers1992

Comparison of Wavelets from the Point of View of Their Approximation Error

Michaël Unser, Thierry Blu

We present new quantitative results for the characterization of the

L _{ 2 }

-error of wavelet-like expansions as a function of the scale a. This yields an extension as well as a simplification of the asymptotic error formulas that have been published ...

SPIE1998