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

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This article explores the efficiency of motion-compensated three-dimensional transform coding, a compression scheme that employs a motion-compensated transform for a group of pictures. We investigate this coding scheme experimentally and theoretically. The practical coding scheme employs in temporal direction a wavelet decomposition with motion-compensated lifting steps. Further, we compare the experimental results to that of a predictive video codec with single-hypothesis motion compensation and comparable

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We present a new family of 2D orthogonal wavelets which uses quincunx sampling. The orthogonal refinement filters have a simple analytical expression in the Fourier domain as a function of the order α, which may be non-integer. The wavelets have good isotropy properties. We can also prove that they yield wavelet bases of

L _{ 2 }

(\Re ^{ 2 }

) for any α > 0. The wavelets are fractional in the sense that the approximation error at a given scale a decays like

O(a ^{ \alpha }

); they also essential

We consider the problem of interpolating a signal using a linear combination of shifted versions of a compactly-supported basis function φ(x). We first give the expression of the φ's that have minimal support for a given accuracy (also known as "approximation order"). This class of functions, which we call maximal-order-minimal-support functions (MOMS), is made of linear combinations of the B-spline of same order and of its derivatives. We provide the explicit form of the MOMS that maximize the approximatio

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In this paper, we present and investigate a new method for subband-based Automatic Speech Recognition (ASR) which approximates the ideal full combination' approach which is itself often not practical to realize. The full combination' approach consists of explicitly considering all possible combinations of subbands (\cite{Hermansky96:TAO}) avoiding the usually necessary independence assumption, which would limit the potential of subband-based ASR. We show how this ideal approach can be effectuated by a non

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

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Designing Sampling Strategies for the Efficient Estimation of Parameterized Spatial Covariance Models

Bayes Hilbert Space Additive Density-on-scalar Regression Based on Individual Observations

The effect of natural surfactants on air-water momentum exchange under light wind conditions in Lake Geneva

Brasserie-Hôtel des Chamois: réhabilitation d’un sanatorium abandonné en une architecture brassicole à Leysin

16th Euroseminar on Microscopy Applied to Building Materials

On linear and quadratic Lipschitz bounds for twice continuously differentiable functions

Solving Stochastic Ordinary Differential Equations by Monte Carlo and Polynomial Chaos

Video Coding with Motion-Compensated Lifted Wavelet Transforms

Fractional Splines, Wavelet Bases, and Applications

Switch peptides in statu nascendi: Induction of conformational transitions relevant to degenerative diseases

Motion Analysis of Echocardiograms Using a Local-Affine, Spatio-Temporal Model

Discretization of the radon transform and of its inverse by spline convolutions

Sampling innovations

The Odometry Error of a Mobile Robot with a Synchronous Drive System

Orthogonal Quincunx Wavelets with Fractional Orders

MOMS: Maximal-Order Interpolation of Minimal Support

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Combining Wavelet-domain Hidden Markov Trees with Hidden Markov Models

Detection and filtering of short-term (1/f) noise in inertial sensors

Different Weighting Schemes in the Full Combination Subbands Approach for Noise Robust ASR