Concept

Sine and cosine transforms

Related publications (57)

A wavelet analysis for the X-ray absorption spectra of molecules

Majed Chergui, Ursula Röthlisberger, Ivano Tavernelli, Thomas James Penfold, Amal El Nahhas, Marco Eli Reinhard

We present a Wavelet transform analysis for the X-ray absorption spectra of molecules. In contrast to the traditionally used Fourier transform approach, this analysis yields a 2D correlation plot in both R- and k-space. As a consequence, it is possible to ...

American Institute of Physics2013

Decay Properties of Riesz Transforms and Steerable Wavelets

Michaël Unser, John Paul Ward, Kunal Narayan Chaudhury

The Riesz transform is a natural multidimensional extension of the Hilbert transform, and it has been the object of study for many years due to its nice mathematical properties. More recently, the Riesz transform and its variants have been used to construc ...

Siam Publications2013

Realistic Analytical Phantoms for Parallel Magnetic Resonance Imaging

Michaël Unser, Matthieu Guerquin-Kern

The quantitative validation of reconstruction algorithms requires reliable data. Rasterized simulations are popular but they are tainted by an aliasing component that impacts the assessment of the performance of reconstruction. We introduce analytical simu ...

IEEE2012

Data-Driven Enhancement of State Mapping-Based Cross-Lingual Speaker Adaptation

Hui Liang

The thesis work was motivated by the goal of developing personalized speech-to-speech translation and focused on one of its key component techniques – cross-lingual speaker adaptation for text-to-speech synthesis. A personalized speech-to-speech translator ...

EPFL2012

Encoding and decoding of generalized Reed-Solomon codes using parallel processing techniques

Mohammad Amin Shokrollahi

A system, computer program, and/or method for encoding data that can correct r/2 errors. The original symbols are transformed using a Fourier transform of length p. Generator polynomials are used to encode the p blocks separately, and an inverse Fourier tr ...

2012

3D Near-Infrared Imaging Based on a Single-Photon Avalanche Diode Array Sensor

Matthias Wolf, Edoardo Charbon, Juan Mata Pavia

An imager for optical tomography was designed based on a detector with 128x128 single-photon pixels that included a bank of 32 time-to-digital converters. Due to the high spatial resolution and the possibility of performing time resolved measurements, a ne ...

2011

Low complexity RST invariant image recognition using Fourier Mellin transform

Pierre-André Farine, Sara Grassi Pauletti, Pradyumna Ayyalasomayajula

In this paper we propose a low complexity method for Rotation, Scale and Translation (RST) invariant content-based image retrieval, suitable for a handheld image recognition device. The RST compensation method is based on Fourier-Mellin Transform (FMT) whi ...

EURASIP2011

Bifurcation and decay of solutions for a class of elliptic equations on R-N

Charles Stuart

We consider a class of nonlinear eigenvalue problems including equations such as −Δu(x) + q(x)u(x) + γ u(x)2 ξ(x)2 + u(x)2 u = λu(x) for x ∈ R , where γ > 0, q ∈ L∞(RN ) and ξ ∈ L2(RN ) are given and we are interested in eigenvalues λ ∈ R for which this eq ...

American Mathematical Society, P.O. Box 6248 Ms. Phoebe Murdock, Providence, Ri 02940 Usa2011

Public space in Beijing

Béatrice Ferrari

This is a short exploration of public space in Beijing (and elsewhere). But how do we define public space and does it exist as such in Beijing? In this short presentation, instead of simply focusing on physical spaces, I will try to capture some of the ele ...

2010

Sensing and Recovery under Sparsity Constraints

Ali Hormati

Popular transforms, like the discrete cosine transform or the wavelet transform, owe their success to the fact that they promote sparsity. These transforms are capable of extracting the structure of a large class of signals and representing them by a few t ...

EPFL2010

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