Publications related to Optimally Localized Wavelets and Smoothing Kernels

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3D Steerable Wavelets in Practice

Michaël Unser

We introduce a systematic and practical design for steerable wavelet frames in 3D. Our steerable wavelets are obtained by applying a 3D version of the generalized Riesz transform to a primary isotropic wavelet frame. The novel transform is self-reversible ...

Institute of Electrical and Electronics Engineers2012

Improvements on "Fast Space-Variant Elliptical Filtering Using Box Splines"

Kunal Narayan Chaudhury, Sebanti Sanyal

It is well-known that box filters can be efficiently computed using pre-integration and local finite-differences. By generalizing this idea and by combining it with a nonstandard variant of the central limit theorem, we had earlier proposed a constant-time ...

Ieee-Inst Electrical Electronics Engineers Inc2012

Doubly sparse models for multiple filter estimation in sparse echoic environments

Pierre Vandergheynst, Rémi Gribonval

We consider the estimation of multiple time-domain sparse filters from echoic mixtures of several unknown sources, when the sources are sparse in the time-frequency domain. We propose a sparse filter estimation framework consisting of two steps: a) a clust ...

2012

Bi-Exponential Edge-Preserving Smoother

Michaël Unser, Daniel Sage, Philippe Thévenaz

Edge-preserving smoothers need not be taxed by a severe computational cost. We present, in this paper, a lean algorithm that is inspired by the bi-exponential filter and preserves its structure-a pair of one-tap recursions. By a careful but simple local ad ...

Institute of Electrical and Electronics Engineers2012

On the Relevance of Sparsity for Image Classification

Pascal Fua, Engin Türetken, Vincent Lepetit, Germán González Serrano, Roberto Rigamonti, Matthew Brown, Fethallah Benmansour

In this paper we analyze empirically the importance of sparsifying representations for classification purposes. We focus on those obtained by convolving images with linear filters, which can be either hand designed or learned, and perform extensive experim ...

2012

Exponential splines and minimal-support bases for curve representation

Michaël Unser, Philippe Thévenaz, Ricard Delgado Gonzalo

Our interest is to characterize the spline-like integer-shift-invariant bases capable of reproducing exponential polynomial curves. We prove that any compact-support function that reproduces a subspace of the exponential polynomials can be expressed as the ...

Elsevier2012

Fast O(1) Bilateral Filtering Using Trigonometric Range Kernels

Michaël Unser, Daniel Sage, Kunal Narayan Chaudhury

It is well known that spatial averaging can be realized (in space or frequency domain) using algorithms whose complexity does not scale with the size or shape of the filter. These fast algorithms are generally referred to as constant-time or O(1) algorithm ...

IEEE2011

Filter Bank Fusion frames

Amina Chebira

In this paper we characterize and construct novel oversampled filter banks implementing fusion frames. A fusion frame is a sequence of orthogonal projection operators whose sum can be inverted in a numerically stable way. When properly designed, fusion fra ...

Institute of Electrical and Electronics Engineers2011

Optimally Localized Wavelets and Smoothing Kernels

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3D Steerable Wavelets in Practice

Improvements on "Fast Space-Variant Elliptical Filtering Using Box Splines"

Real time multi-object tracking using multiple cameras

Doubly sparse models for multiple filter estimation in sparse echoic environments

Bi-Exponential Edge-Preserving Smoother

On the Relevance of Sparsity for Image Classification

Exponential splines and minimal-support bases for curve representation

Visual spatiotemporal processing in the elderly

Fast O(1) Bilateral Filtering Using Trigonometric Range Kernels

Filter Bank Fusion frames

Visual spatiotemporal processing in the elderly

Real time multi-object tracking using multiple cameras

Doubly sparse models for multiple filter estimation in sparse echoic environments

Fast O(1) Bilateral Filtering Using Trigonometric Range Kernels

Filter Bank Fusion frames

3D Steerable Wavelets in Practice

On the Relevance of Sparsity for Image Classification

Bi-Exponential Edge-Preserving Smoother

Improvements on "Fast Space-Variant Elliptical Filtering Using Box Splines"

Exponential splines and minimal-support bases for curve representation