Publications related to FST-based Reconstruction of 3D-models from Non-Uniformly Sampled Datasets on the Sphere

TV-based reconstruction of periodic functions

Julien René Pierre Fageot, Matthieu Martin Jean-André Simeoni

We introduce a general framework for the reconstruction of periodic multivariate functions from finitely many and possibly noisy linear measurements. The reconstruction task is formulated as a penalized convex optimization problem, taking the form of a sum ...

IOP PUBLISHING LTD2020

Fourier interpolation on the real line

Maryna Viazovska

In this paper we construct an explicit interpolation formula for Schwartz functions on the real line. The formula expresses the value of a function at any given point in terms of the values of the function and its Fourier transform on the set {0,+/- 1,+/- ...

2019

A Fourier-accelerated volume integral method for elastoplastic contact

Jean-François Molinari, Guillaume Anciaux, Lucas Henri Galilée Frérot

The contact of solids with rough surfaces plays a fundamental role in physical phenomena such as friction, wear, sealing, and thermal transfer. However, its simulation is a challenging problem due to surface asperities covering a wide range of length-scale ...

2019

Spatial interpolation of precipitation from multiple rain gauge networks and weather radar data for operational applications in Alpine catchments

Giovanni De Cesare, Javier García Hernández, Bettina Schaefli, Alain Tommy Foehn

Increasing meteorological data availability and quality implies an adaptation of the interpolation methods for data combination. In this paper, we propose a new method to efficiently combine weather radar data with data from two heated rain gauge networks ...

2018

Concentration compactness for critical radial wave maps

Joachim Krieger, Elisabetta Chiodaroli

We consider radially symmetric, energy critical wave maps from (1 + 2)-dimensional Minkowski space into the unit sphere

\mathbf{S}^m

, m≥1, and prove global regularity and scattering for classical smooth data of finite energy. In addition, we establish a ...

2018

HeadFusion: 360 degrees Head Pose Tracking Combining 3D Morphable Model and 3D Reconstruction

Jean-Marc Odobez, Kenneth Alberto Funes Mora, Yu Yu

Head pose estimation is a fundamental task for face and social related research. Although 3D morphable model (3DMM) based methods relying on depth information usually achieve accurate results, they usually require frontal or mid-profile poses which preclud ...

IEEE COMPUTER SOC2018

DETERMINING POSITIONS OF TRANSDUCERS FOR RECEIVING AND/OR TRANSMITTING WAVE SIGNALS

Paul Hurley, Matthieu Martin Jean-André Simeoni, Nezihe Merve Gürel

The invention is notably directed to a method for determining positions {pi}i=1,..., N of transducers {Ai}i=1,..., N of an apparatus. The transducers are assumed to be configured for receiving wave signals from and/or transmitting wave signals to one or mo ...

2017

Methods of approximation influence aquatic ecosystem metabolism estimates

Janine Rüegg

Aquatic ecologists have recently employed dynamic models to estimate aquatic ecosystem metabolism. All approaches involve numerically solving a differential equation describing dissolved oxygen (DO) dynamics. Although the DO differential equation can be so ...

Association for the Sciences of Limnology and Oceanography2016

Slice-by-Slice versus Fully 3D Reconstruction for Parallel-Beam x-Ray Microtomography

Michaël Unser, Masih Nilchian, Michael Thompson McCann

We present a 3D iterative reconstruction method for microtomography, where iterative methods have previously been limited by their high computational cost. Our preliminary results show that it improves reconstruction quality over the traditional slice-by-s ...

OSA2016

High-Precision MRI Reconstruction Algorithm for 3D Sphere Packings

Daniele Mari, Arnaud Comment, Riccardo Balzan, Alessandro Luigi Sellerio

Packings of granular materials are complex systems consisting of large sets of particles interacting via contact forces. Their internal structure is interesting for several theoretical and practical reasons, especially when the model system consists in a l ...

Springer Verlag2015

FST-based Reconstruction of 3D-models from Non-Uniformly Sampled Datasets on the Sphere

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TV-based reconstruction of periodic functions

Fourier interpolation on the real line

A Fourier-accelerated volume integral method for elastoplastic contact

Spatial interpolation of precipitation from multiple rain gauge networks and weather radar data for operational applications in Alpine catchments

Concentration compactness for critical radial wave maps

HeadFusion: 360 degrees Head Pose Tracking Combining 3D Morphable Model and 3D Reconstruction

DETERMINING POSITIONS OF TRANSDUCERS FOR RECEIVING AND/OR TRANSMITTING WAVE SIGNALS

Methods of approximation influence aquatic ecosystem metabolism estimates

Slice-by-Slice versus Fully 3D Reconstruction for Parallel-Beam x-Ray Microtomography

High-Precision MRI Reconstruction Algorithm for 3D Sphere Packings

Fourier interpolation on the real line

TV-based reconstruction of periodic functions

High-Precision MRI Reconstruction Algorithm for 3D Sphere Packings

Concentration compactness for critical radial wave maps

HeadFusion: 360 degrees Head Pose Tracking Combining 3D Morphable Model and 3D Reconstruction

Spatial interpolation of precipitation from multiple rain gauge networks and weather radar data for operational applications in Alpine catchments

A Fourier-accelerated volume integral method for elastoplastic contact

DETERMINING POSITIONS OF TRANSDUCERS FOR RECEIVING AND/OR TRANSMITTING WAVE SIGNALS

Methods of approximation influence aquatic ecosystem metabolism estimates

Slice-by-Slice versus Fully 3D Reconstruction for Parallel-Beam x-Ray Microtomography