Publications associées à Discrete wavelet transform

An Orthogonal Family of Quincunx Wavelets with Continuously Adjustable Order

Michaël Unser, Dimitri Nestor Alice Van De Ville

We present a new family of two-dimensional and three-dimensional 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 λ, which may be nonint ...

IEEE2005

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

The approximate behavior of wavelets as differential operators is often considered as one of their most fundamental properties. In this paper, we investigate how we can further improve on the wavelet's behavior as differentiator. In particular, we propose ...

SPIE2005

Exponential-Spline Wavelet Bases

Michaël Unser, Ildar Khalidov

We build a multiresolution analysis based on shift-invariant exponential B-spline spaces. We construct the basis functions for these spaces and for their orthogonal complements. This yields a new family of wavelet-like basis functions of

L _{ 2 }

, wit ...

IEEE2005

Generalized L-Spline Wavelet Bases

Michaël Unser, Thierry Blu, Ildar Khalidov

We build wavelet-like functions based on a parametrized family of pseudo-differential operators

L _{ v }

that satisfy some admissibility and scalability conditions. The shifts of the generalized B-splines, which are localized versions of the Green func ...

SPIE2005

Generalized Biorthogonal Daubechies Wavelets

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch

We propose a generalization of the Cohen-Daubechies-Feauveau (CDF) and 9⁄7 biorthogonal wavelet families. This is done within the framework of non-stationary multiresolution analysis, which involves a sequence of embedded approximation spaces generated by ...

SPIE2005

Correspondence principle between spherical and Euclidean wavelets

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

Wavelets on the sphere are reintroduced and further developed independently of the original group theoretic formalism, in an equivalent, but more straightforward approach. These developments are motivated by the interest of the scale-space analysis of the ...

2005

Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

In this paper, we use polyharmonic B-splines to build multidimensional wavelet bases. These functions are nonseparable, multidimensional basis functions that are localized versions of radial basis functions. We show that Rabut's elementary polyharmonic B-s ...

IEEE2005

Stereographic Wavelet Frames on the Sphere

Pierre Vandergheynst, Laurent Jacques, Iva Bogdanova Vandergheynst

In this paper we exploit the Continuous Wavelet Transform (CWT) on the two dimensional sphere, introduced previously by two of us, to build associated Discrete Wavelet Frames. We first explore half-continuous frames, i.e., frames where the position remains ...

2005

Wavelet Transform Analysis of Truncated Fringe Patterns in 3-D Surface Profilometry

Sai Siva Gorthi

Wavelet transform analysis of projected fringe pattern for phase recovery in 3-D shape measurement of objects is investigated. The present communication specifically outlines and evaluates the errors that creep in to the reconstructed profiles when fringe ...

2005

Wavelet Transform Codec for Fast Retrieval of Slices of 3D objects

Vijayaraghavan Thirumalai

We propose a method to encode a 3D magnetic resonance image data and a decoder in such way that fast access to any 2D image is possible by decoding only the corresponding information from each subband image and thus provides minimum decoding time. This wil ...

2005

Discrete wavelet transform

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An Orthogonal Family of Quincunx Wavelets with Continuously Adjustable Order

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

Exponential-Spline Wavelet Bases

Generalized L-Spline Wavelet Bases

Generalized Biorthogonal Daubechies Wavelets

Correspondence principle between spherical and Euclidean wavelets

Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets

Stereographic Wavelet Frames on the Sphere

Wavelet Transform Analysis of Truncated Fringe Patterns in 3-D Surface Profilometry

Wavelet Transform Codec for Fast Retrieval of Slices of 3D objects

Semi-Orthogonal Wavelets That Behave like Fractional Differentiators

An Orthogonal Family of Quincunx Wavelets with Continuously Adjustable Order

Generalized L-Spline Wavelet Bases

Generalized Biorthogonal Daubechies Wavelets

Exponential-Spline Wavelet Bases

Isotropic Polyharmonic B-Splines: Scaling Functions and Wavelets

Wavelet Transform Analysis of Truncated Fringe Patterns in 3-D Surface Profilometry

Correspondence principle between spherical and Euclidean wavelets

Stereographic Wavelet Frames on the Sphere

Wavelet Transform Codec for Fast Retrieval of Slices of 3D objects