Publications related to Filter Bank Fusion frames

Directionlets: Anisotropic Multidirectional representation with separable filtering

Martin Vetterli, Vladan Velisavljevic, Pier Luigi Dragotti

In spite of the success of the standard wavelet transform (WT) in image processing in recent years, the efficiency of its representation is limited by the spatial isotropy of its basis functions built in the horizontal and vertical directions. One-dimensio ...

2006

Fast directional correlation on the sphere with steerable filters

Pierre Vandergheynst, Yves Wiaux, Laurent Jacques

A fast algorithm is developed for the directional correlation of scalar band-limited signals and band-limited steerable filters on the sphere. The asymptotic complexity associated to it through simple quadrature is of order O(L^5), where 2L stands for the ...

2006

Classification-Specific Feature Sampling for Face Recognition

Pascal Frossard, Effrosyni Kokiopoulou

Feature extraction based on different types of signal filters has received a lot of attention in the context of face recognition. It generally results into extremely high dimensional feature vectors, and sampling of the coefficients is required to reduce t ...

2006

Efficient Reconstruction of Hexagonally Sampled Data Using Three-Directional Box-Splines

Michaël Unser, Dimitri Nestor Alice Van De Ville

Three-directional box-splines are particularly well-suited to interpolate and approximate hexagonally sampled data. In this paper, we propose a computationally efficient end-to-end reconstruction process. First, we introduce a prefiltering step that is bas ...

IEEE2006

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

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

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Pierre Vandergheynst, Oscar Divorra Escoda

In this work, we study the effect of inserting spatially local temporal adaptivity to motion compensated frame adaptive transforms for video coding. Motion compensation aligns the temporal wavelet decomposition along motion trajectories. However, valid tra ...

2004

Extended Depth-of-Focus for Multi-Channel Microscopy Images: A Complex Wavelet Approach

Michaël Unser, Dimitri Nestor Alice Van De Ville, Daniel Sage

Microscopy imaging often suffers from limited depth-of-focus. However, the specimen can be “optically sectioned” by moving the object along the optical axis; different areas appear in focus in different images. Extended depth-of-focus is a fusion algorithm ...

IEEE2004

Complex Wavelets for Extended Depth-of-Field: A New Method for the Fusion of Multichannel Microscopy Images

Michaël Unser, Dimitri Nestor Alice Van De Ville, Daniel Sage

Microscopy imaging often suffers from limited depth-of-field. However, the specimen can be “optically sectioned” by moving the object along the optical axis. Then different areas appear in focus in different images. Extended depth-of-field is a fusion algo ...

Wiley-Liss2004

Fresnelets: New Multiresolution Wavelet Bases for Digital Holography

Michaël Unser, Thierry Blu

We propose a construction of new wavelet-like bases that are well suited for the reconstruction and processing of optically generated Fresnel holograms recorded on CCD-arrays. The starting point is a wavelet basis of

L _{ 2 }

to which we apply a unitar ...

IEEE2003

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Directionlets: Anisotropic Multidirectional representation with separable filtering

Fast directional correlation on the sphere with steerable filters

Classification-Specific Feature Sampling for Face Recognition

Efficient Reconstruction of Hexagonally Sampled Data Using Three-Directional Box-Splines

Generalized L-Spline Wavelet Bases

Exponential-Spline Wavelet Bases

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Extended Depth-of-Focus for Multi-Channel Microscopy Images: A Complex Wavelet Approach

Complex Wavelets for Extended Depth-of-Field: A New Method for the Fusion of Multichannel Microscopy Images

Fresnelets: New Multiresolution Wavelet Bases for Digital Holography

Directionlets: Anisotropic Multidirectional representation with separable filtering

Classification-Specific Feature Sampling for Face Recognition

Fast directional correlation on the sphere with steerable filters

Efficient Reconstruction of Hexagonally Sampled Data Using Three-Directional Box-Splines

Generalized L-Spline Wavelet Bases

Extended Depth-of-Focus for Multi-Channel Microscopy Images: A Complex Wavelet Approach

Exponential-Spline Wavelet Bases

Complex Wavelets for Extended Depth-of-Field: A New Method for the Fusion of Multichannel Microscopy Images

Intra-Adaptive Motion-Compensated Lifted Wavelets for Video Coding

Fresnelets: New Multiresolution Wavelet Bases for Digital Holography