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Sampling the Multiple Facets of Light

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Shapes from Pixels

Mitra Fatemi

In today's digital world, sampling is at the heart of any signal acquisition device. Imaging devices are ubiquitous examples that capture two-dimensional visual signals and store them as the pixels of discrete images. The main concern is whether and how th ...

EPFL2016

Sampling Models in Light Fields

Zhou Xue

What is the actual information contained in light rays filling the 3-D world? Leonardo da Vinci saw the world as an infinite number of radiant pyramids caused by the objects located in it. Nowadays, the radiant pyramid is usually described as a set of ligh ...

EPFL2016

Sampling Sparse Signals on the Sphere: Algorithms and Applications

Yue Lu, Ivan Dokmanic

We propose a sampling scheme that can perfectly reconstruct a collection of spikes on the sphere from samples of their lowpass-filtered observations. Central to our algorithm is a generalization of the annihilating filter method, a tool widely used in arra ...

Institute of Electrical and Electronics Engineers2016

Audio inpainting with similarity graphs

Nathanaël Perraudin

In this contribution, we present a method to compensate for long duration data gaps in audio signals, in particular music. To achieve this task, a similarity graph is constructed, based on a short-time Fourier analysis of reliable signal segments, e.g. the ...

2016

Magnetic resonance spectroscopic imaging at superresolution: Overview and perspectives

Dimitri Nestor Alice Van De Ville, Jeffrey Adam Kasten, François Lazeyras

The notion of non-invasive, high-resolution spatial mapping of metabolite concentrations has long enticed the medical community. While magnetic resonance spectroscopic imaging (MRSI) is capable of achieving the requisite spatio-spectral localization, it ha ...

Academic Press Inc Elsevier Science2016

Shapes from pixels

Martin Vetterli, Arash Amini, Loïc Arnaud Baboulaz, Mitra Fatemi

Continuous-domain visual signals are usually captured as discrete (digital) images. This operation is not invertible in general, in the sense that the continuous-domain signal cannot be exactly reconstructed based on the discrete image, unless it satisfies ...

Institute of Electrical and Electronics Engineers2016

Real-time multi-signal frequency tracking with a bank of notch filters to estimate the respiratory rate from the ECG

Jean-Marc Vesin, Leila Mirmohamadsadeghi

Measuring the instantaneous frequency of a signal rapidly and accurately is essential in many applications. However, the instantaneous frequency by definition is a parameter difficult to determine. Fourier-based methods introduce estimation delays as compu ...

Institute of Physics2016

PCA using graph total variation

Pierre Vandergheynst, Nathanaël Perraudin, Benjamin Ricaud, Nauman Shahid, Vasilis Kalofolias

Mining useful clusters from high dimensional data has received sig- nificant attention of the signal processing and machine learning com- munity in the recent years. Linear and non-linear dimensionality reduction has played an important role to overcome th ...

Ieee2016

Compact multifunctional system for imaging spectroscopy

Yosef Akhtman, Dragos Constantin

A method for obtaining spectral imaging data comprises at least the steps of receiving a sample set of data generated by sampling a spectral property of an image of an object in a spatial basis, wherein the sampling of the spectral property of the image of ...

2016

BRDF acquisition with polarizing filters (2016)

Laurent Valentin Jospin

BRDF (for bidirectional reflectance distribution function) are functions used in computer graphics and optics to describe how an opaque surface reflect the incoming light. The goal of this project is to study technics to separate different components of th ...

2016