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903
The Lifting Scheme: A Construction Of Second Generation Wavelets
, 1997
"... We present the lifting scheme, a simple construction of second generation wavelets, wavelets that are not necessarily translates and dilates of one fixed function. Such wavelets can be adapted to intervals, domains, surfaces, weights, and irregular samples. We show how the lifting scheme leads to a ..."
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Cited by 539 (15 self)
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to a faster, inplace calculation of the wavelet transform. Several examples are included.
The Lifting Scheme: A New Philosophy in Biorthogonal Wavelet Constructions
 in Wavelet Applications in Signal and Image Processing III
, 1995
"... In this paper we present the basic idea behind the lifting scheme, a new construction of biorthogonal wavelets which does not use the Fourier transform. In contrast with earlier papers we introduce lifting purely from a wavelet transform point of view and only consider the wavelet basis functions in ..."
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Cited by 200 (0 self)
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are wavelets on the sphere. Keywords: wavelet, biorthogonal, inplace calculation, lifting 1 Introduction At the present day it has become virtually impossible to give the definition of a "wavelet". The research field is growing so fast and novel contributions are made at such a rate that even if one
Remarks on Calculation of Autocorrelation on Finite Dyadic Groups by Local Transformations of Decision Diagrams
"... Abstract. The paper considers calculation of autocorrelation functions on finite dyadic groups over decision diagrams. The methods exploit recursive structure of both autocorrelation matrices and decision diagrams. First, it is discussed calculation of the autocorrelation through the WienerKhinchin ..."
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Cited by 1 (0 self)
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Khinchin theorem implemented over decision diagrams. Then, it is proposed a method for calculation of separate autocorrelation coefficients over decision diagrams with permuted labels at the edges. For the case of restricted memory resources, a procedure with inplace calculations over the decision diagram
Wavelet Families Of Increasing Order In Arbitrary Dimensions
, 1997
"... . We build compactly supported biorthogonal wavelets and perfect reconstruction filter banks for any lattice in any dimension with any number of primal and dual vanishing moments. The resulting scaling functions are interpolating. Our construction relies on the lifting scheme and inherits all of its ..."
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Cited by 61 (0 self)
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of its advantages: fast transform, inplace calculation, and integerto integer transforms. We show that two lifting steps suffice: predict and update. The predict step can be built using multivariate polynomial interpolation, while update is a multiple of the adjoint of predict. Submitted to IEEE
INPLACE FREE SPAN ASSESSMENT USING FINITE ELEMENT ANALYSIS
"... ABSTRACT The DNV RP 105 To overcome these limitations, specifically for "long" spans and multispanning pipelines, RP F105 recommends that eigenvalue analysis be performed using Finite Element (FE) method to calculate the natural frequencies, mode shapes and corresponding stresses assoc ..."
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service assessment of existing pipelines, where new free spans are often observed during inspection due to soil movements along the lifetime of the pipeline. This paper addresses the inplace FE methodology, the validation process and the tools that were developed to speed up the fatigue assessment procedure, which
Invertible Linear Transforms Implemented by Integer Mapping
, 2000
"... The general integer mapping theory of invertible linear transforms is considered in this paper. Two terms of integer factor and elementary triangular matrix are introduced. We prove that there exists an integer implementation if a linear transform is invertible and in finite dimensional space. The i ..."
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. The integer implementation of an invertible linear transform has several advantages such as (i) mapping integers to integers, (ii) perfectly invertible, and (iii) inplace calculation. A constructive approach of integer implementation and a simplified approach are also presented, which can be converted
Wavelet Families of Increasing Order in Arbitrary Dimensions
"... Abstractâ€”We build discretetime compactly supported biorthogonal wavelets and perfect reconstruction filter banks for any lattice in any dimension with any number of primal and dual vanishing moments. The associated scaling functions are interpolating. Our construction relies on the lifting scheme a ..."
Abstract
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and inherits all of its advantages: fast transform, inplace calculation, and integertointeger transforms. We show that two lifting steps suffice: predict and update. The predict step can be built using multivariate polynomial interpolation, while update is a multiple of the adjoint of predict. While we
Inplace update with linear types or How to compile functional programs into malloc()free C
"... this paper is to show that by imposing mild extra annotations one can have the best of both worlds: easy to write code which is amenable to equational reasoning, yet modifies its arguments in place and does not allocate heap space unless explicitly told to do so. An aside: a critic may argue that a ..."
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Cited by 3 (0 self)
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this paper is to show that by imposing mild extra annotations one can have the best of both worlds: easy to write code which is amenable to equational reasoning, yet modifies its arguments in place and does not allocate heap space unless explicitly told to do so. An aside: a critic may argue that a
Matrix Factorizations for Reversible Integer Mapping
, 2001
"... Reversible integer mapping is essential for lossless source coding by transformation. A general matrix factorization theory for reversible integer mapping of invertible linear transforms is developed in this paper. Concepts of the integer factor and the elementary reversible matrix (ERM) for integer ..."
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Cited by 39 (9 self)
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implementations of an invertible linear transform are i) mapping integers to integers, ii) perfect reconstruction, and iii) inplace calculation. We find that besides a possible permutation matrix, the TERM factorization of anbynonsingular matrix has at most three TERMs, and its SERM factorization has at most
EVALUATION OF ASTM TIME DOMAIN REFLECTOMETRY METHOD FOR SOIL WATER CONTENT AND INPLACE DENSITY
"... The use of time domain reflectometry to measure soil density and water content in geotechnical engineering is relatively new. The ASTM Standard Method (D678002) outlines the procedure for obtaining the water content and the dry density of a given soil. The method relies on the measurement of an ele ..."
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contents, the dielectric constant can be measured in the field to obtain an accurate field water content measurement. The dry density is then calculated by removing the soil and measuring the dielectric constant in a field mold. The University of South Florida, in conjunction with the Florida Department
Results 1  10
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903