Publications related to Sampling and Reconstruction of Shapes with Algebraic Boundaries

MATHICSE Technical Report : Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points

We study the accuracy of the discrete least-squares approximation on a finite dimensional space of a real-valued target function from noisy pointwise evaluations at independent random points distributed according to a given sampling probability measure. Th ...

MATHICSE2015

Recent trends in low-frequency noise reduction techniques for integrated circuits

Christian Enz, Assim Boukhayma

This paper presents the two main circuit techniques, namely autozeroing (AZ) and chopper stabilization (CS), that are used to reduce the 1/f noise and offset in amplifiers typically used in sensor electronics interfaces. After recalling their main properti ...

2015

Random sampling of bandlimited signals on graphs

Pierre Vandergheynst, Rémi Gribonval, Gilles Puy, Nicolas Tremblay

We study the problem of sampling

k

-bandlimited signals on graphs. We propose two sampling strategies that consist in selecting a small subset of nodes at random. The first strategy is non-adaptive, \ie, independent of the graph structure, and its perform ...

2015

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Fabio Nobile, Giovanni Migliorati

We analyze the accuracy of the discrete least-squares approximation of a function u in multivariate polynomial spaces

P_\Lambda := span\{y \mapsto y^\nu | \nu \in \Lambda\}

with

\Lambda\subset N_0^d

over the domain

\Gamma := [-1,1]^d

, based on the sa ...

MATHICSE2015

Image Transmorphing with JPEG

Touradj Ebrahimi, Lin Yuan

Picture-related applications are extremely popular because pictures present attractive and vivid information. Nowadays, people record everyday life, communicate with each other, and enjoy entertainment using various interesting imaging applications. In man ...

2015

An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology

Fabio Nobile, Christian Vergara, Elena Faggiano

The Purkinje network is responsible for the fast and coordinated distribution of the electrical impulse in the ventricle that triggers its contraction. Therefore, it is necessary to model its presence to obtain an accurate patient-specific model of the ven ...

Elsevier2015

Image Reconstruction in K-Space from MR Data Encoded with Ambiguous Gradient Fields

Daniel Gallichan

PurposeIn this work, the limits of image reconstruction in k-space are explored when non-bijective gradient fields are used for spatial encoding. TheoryThe image space analogy between parallel imaging and imaging with non-bijective encoding fields is parti ...

Wiley-Blackwell2015

Hardware-Software Inexactness in Noise-aware Design of Low-Power Body Sensor Nodes

David Atienza Alonso, Pierre Vandergheynst, Giovanni Ansaloni, Mohamed Mostafa Sabry Aly, Hossein Mamaghanian

Wireless Body Sensor Nodes (WBSNs) are miniaturized and ultra-low-power devices, able to acquire and wirelessly trans- mit biosignals such as electrocardiograms (ECG) for extended periods of times and with little discomfort for subjects [1]. Energy efficie ...

2014

Distinguishing analyte from noise components in mass spectra of complex samples: where to cut the noise?

Yury Tsybin, Anton Kozhinov, Luca Fornelli, Konstantin Zhurov

Fourier transform mass spectrometry (FTMS) enables comprehensive analysis of complex molecular mixtures. Given the broad intensity ranges of components in the mass spectra, it is imperative to accurately determine a noise threshold level above which peak a ...

Amer Chemical Soc2014

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

We analyse the problem of approximating a multivariate function by discrete least-squares projection on a polynomial space starting from random, noise-free observations. An area of possible application of such technique is Uncertainty Quantification (UQ) f ...

2014

Sampling and Reconstruction of Shapes with Algebraic Boundaries

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MATHICSE Technical Report : Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points

Recent trends in low-frequency noise reduction techniques for integrated circuits

Random sampling of bandlimited signals on graphs

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Image Transmorphing with JPEG

An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology

Image Reconstruction in K-Space from MR Data Encoded with Ambiguous Gradient Fields

Hardware-Software Inexactness in Noise-aware Design of Low-Power Body Sensor Nodes

Distinguishing analyte from noise components in mass spectra of complex samples: where to cut the noise?

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

MATHICSE Technical Report : Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points

MATHICSE Technical Report : Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

An effective algorithm for the generation of patient-specific Purkinje networks in computational electrocardiology

Hardware-Software Inexactness in Noise-aware Design of Low-Power Body Sensor Nodes

Distinguishing analyte from noise components in mass spectra of complex samples: where to cut the noise?

Random sampling of bandlimited signals on graphs

Recent trends in low-frequency noise reduction techniques for integrated circuits

Image Reconstruction in K-Space from MR Data Encoded with Ambiguous Gradient Fields

Analysis of Discrete L2 Projection on Polynomial Spaces with Random Evaluations

Image Transmorphing with JPEG