Publications related to Sampling and Reconstruction of Shapes with Algebraic Boundaries

Fully automated gridding reconstruction for non-Cartesian x-space magnetic particle imaging

Magnetic particle imaging (MPI) is a fast emerging biomedical imaging modality that exploits the nonlinear response of superparamagnetic iron oxide (SPIO) nanoparticles to image their spatial distribution. Previously, various scanning trajectories were ana ...

2019

Polynomial Escape-Time From Saddle Points In Distributed Non-Convex Optimization

Ali H. Sayed, Stefan Vlaski

The diffusion strategy for distributed learning from streaming data employs local stochastic gradient updates along with exchange of iterates over neighborhoods. In this work we establish that agents cluster around a network centroid in the mean-fourth sen ...

IEEE2019

MATHICSE Technical Report: Interpolatory rational model order reduction of parametric problems lacking uniform inf-sup stability

Davide Pradovera

We present a technique for the approximation of a class of Hilbert space-valued maps which arise within the framework of Model Order Reduction for parametric partial differential equations, whose solution map has a meromorphic structure. Our MOR stategy co ...

MATHICSE2019

A mobile measurement platform and an image processing procedure for high-resolution aerial thermal imagery of lake surface water temperatures

David Andrew Barry, Ulrich Lemmin, Daniel Sage, Abolfazl Irani Rahaghi

A mobile platform for carrying out Lake Surface Water Temperature (LSWT) thermography with O(1 m) pixel resolution is presented. It consists of (i) a small balloon carrying a thermal and RGB imagery package tethered to a winch on a boat, and (ii) an autono ...

2018

Arithmetic and metric aspects of open de Rham spaces

Dimitri Stelio Wyss, Tamás Hausel, Michael Lennox Wong

In this paper we determine the motivic class---in particular, the weight polynomial and conjecturally the Poincar'e polynomial---of the open de Rham space, defined and studied by Boalch, of certain moduli of irregular meromorphic connections on the trivia ...

2018

Sampling at unknown locations, with an application in surface retrieval

Martin Vetterli, Benjamin Bejar Haro, Adam James Scholefield, Michalina Wanda Pacholska

We consider the problem of sampling at unknown locations. We prove that, in this setting, if we take arbitrarily many samples of a polynomial or real bandlimited signal, it is possible to find another function in the same class, arbitrarily far away from t ...

2017

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 s ...

2017

A Versatile Noise Performance Metric for Electrical Impedance Tomography Algorithms

Jean-Philippe Thiran, Fabian Braun, Martin Proença

Electrical impedance tomography (EIT) is an emerging technology for real-time monitoring of patients under mechanical ventilation. EIT has the potential to offer continuous medical monitoring while being noninvasive, radiation free, and low cost. Due to th ...

Ieee-Inst Electrical Electronics Engineers Inc2017

Multilevel weighted least squares polynomial approximation

Fabio Nobile

Weighted least squares polynomial approximation uses random samples to determine projections of functions onto spaces of polynomials. It has been shown that, using an optimal distribution of sample locations, the number of samples required to achieve quasi ...

2017

Multiresolution Subdivision Snakes

Michaël Unser, Daniel Andreas Schmitter, Virginie Sophie Uhlmann, Anaïs Laure Marie-Thérèse Badoual

We present a new family of snakes that satisfy the property of multiresolution by exploiting subdivision schemes. We show in a generic way how to construct such snakes based on an admissible subdivision mask. We derive the necessary energy formulations and ...

2017

Sampling and Reconstruction of Shapes with Algebraic Boundaries

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Fully automated gridding reconstruction for non-Cartesian x-space magnetic particle imaging

Polynomial Escape-Time From Saddle Points In Distributed Non-Convex Optimization

MATHICSE Technical Report: Interpolatory rational model order reduction of parametric problems lacking uniform inf-sup stability

A mobile measurement platform and an image processing procedure for high-resolution aerial thermal imagery of lake surface water temperatures

Arithmetic and metric aspects of open de Rham spaces

Sampling at unknown locations, with an application in surface retrieval

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

A Versatile Noise Performance Metric for Electrical Impedance Tomography Algorithms

Multilevel weighted least squares polynomial approximation

Multiresolution Subdivision Snakes

Sampling at unknown locations, with an application in surface retrieval

Fully automated gridding reconstruction for non-Cartesian x-space magnetic particle imaging

Multiresolution Subdivision Snakes

Polynomial Escape-Time From Saddle Points In Distributed Non-Convex Optimization

A mobile measurement platform and an image processing procedure for high-resolution aerial thermal imagery of lake surface water temperatures

Discrete least-squares approximations over optimized downward closed polynomial spaces in arbitrary dimension

Arithmetic and metric aspects of open de Rham spaces

A Versatile Noise Performance Metric for Electrical Impedance Tomography Algorithms

Multilevel weighted least squares polynomial approximation

MATHICSE Technical Report: Interpolatory rational model order reduction of parametric problems lacking uniform inf-sup stability