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We refine a result of Matei and Meyer on stable sampling and stable interpolation for simple model sets. Our setting is model sets in locally compact abelian groups and Fourier analysis of unbounded complex Radon measures as developed by…

Functional Analysis · Mathematics 2024-09-05 Christoph Richard , Christoph Schumacher

A simple scheme for all-optical time interpolation using spectral interferometry is put forward that is in principle capable of single-shot measurements. In this method, the arrival time of optical timing pulses is encoded into the spectrum…

Optics · Physics 2022-04-21 Thomas Fordell

In this paper we present the Markov variation, a smoothness measure which offers a probabilistic interpretation of graph signal smoothness. This measure is then used to develop an optimization framework for graph signal interpolation. Our…

Signal Processing · Electrical Eng. & Systems 2020-01-29 Ayelet Heimowitz , Yonina C. Eldar

The simplest way to obtain continuous interpolation between two points in high dimensional space is to draw a line between them. While previous works focused on the general connectivity between model parameters, we explored linear…

Computation and Language · Computer Science 2022-11-23 Mark Rofin , Nikita Balagansky , Daniil Gavrilov

A novel application of the Pade approximation is proposed in which the Pade approximant is used as an interpolation for the small and large coupling behaviors of a physical system, resulting in a prediction of the behavior of the system at…

Mathematical Physics · Physics 2008-11-26 C. N. Leung , J. A. Murakowski

Algorithms to determine transition probabilities in Monte Carlo simulations are tested using a system of classical particles with effective interactions which reproduce Bose-Einstein statistics. The system is appropriate for testing…

Statistical Mechanics · Physics 2021-01-11 Marisel Di Pietro Martínez , Martín Giuliano , Miguel Hoyuelos

In the recent paper [8], a new method to compute stable kernel-based interpolants has been presented. This \textit{rescaled interpolation} method combines the standard kernel interpolation with a properly defined rescaling operation, which…

Numerical Analysis · Mathematics 2018-10-31 Stefano De Marchi , Andrea Idda , Gabriele Santin

In a series of three papers, we investigate the current status of published metallicities for open clusters that were derived from a variety of photometric and spectroscopic methods. The current article focuses on spectroscopic methods. The…

Astrophysics of Galaxies · Physics 2014-01-10 U. Heiter , C. Soubiran , M. Netopil , E. Paunzen

We present new empirical and theoretical calibrations of two photometric metallicity indices based on Walraven photometry. The empirical calibration relies on a sample of 48 Cepheids for which iron abundances based on high resolution…

This paper addresses the problem of interpolating visual textures. We formulate this problem by requiring (1) by-example controllability and (2) realistic and smooth interpolation among an arbitrary number of texture samples. To solve it we…

Computer Vision and Pattern Recognition · Computer Science 2019-04-17 Ning Yu , Connelly Barnes , Eli Shechtman , Sohrab Amirghodsi , Michal Lukac

The performance of functionals based on the idea of interpolating between the weak and the strong-interaction limits the global adiabatic-connection integrand is carefully studied for the challenging case of noble-metal clusters. Different…

Chemical Physics · Physics 2018-04-18 S. Giarrusso , P. Gori-Giorgi , F. Della Sala , E. Fabiano

A fast and reliable algorithm for the optimal interpolation of scattered data on the torus by multivariate trigonometric polynomials is presented. The algorithm is based on a variant of the conjugate gradient method in combination with the…

Numerical Analysis · Mathematics 2007-05-23 Stefan Kunis , Daniel Potts

The present $\mathrm{R}\&\mathrm{D}$ activities for the International Large Detector Time Projection Chamber (ILD-TPC) concern the adoption of the micro pattern devices for the gaseous amplification stage. Seven Micromegas modules which are…

Accurate PET imaging increasingly requires methods that support unconstrained detector layouts from walk-through designs to long-axial rings where gaps and open sides lead to severely undersampled sinograms. Instead of constraining the…

Machine Learning · Computer Science 2025-11-13 Rüveyda Yilmaz , Julian Thull , Johannes Stegmaier , Volkmar Schulz

In image reconstruction there are techniques that use analytical formulae for the Radon transform to recover an image from a continuum of data. In practice, however, one has only discrete data available. Thus one often resorts to sampling…

Functional Analysis · Mathematics 2011-08-30 Isaac Pesenson , Eric Grinberg

Interpolation is an essential tool in software verification, where first-order theories are used to constrain datatypes manipulated by programs. In this paper, we introduce the datatype theory of contiguous arrays with maxdiff, where arrays…

Logic in Computer Science · Computer Science 2022-04-26 Silvio Ghilardi , Alessandro Gianola , Deepak Kapur , Chiara Naso

A number of key scientific computing applications that are based upon tensor-product grid constructions, such as numerical weather prediction (NWP) and combustion simulations, require property-preserving interpolation. Essentially…

Numerical Analysis · Mathematics 2022-10-18 Timbwaoga A. J. Ouermi , Robert M. Kirby , Martin Berzins

The I-table contains luminous intensity values over the range of angles for the luminaires used in the road lighting in accordance with technical report CIE 121:1996. A limited number of angles causes smoothing of the luminous intensity…

Optics · Physics 2021-01-05 L. Lipnický , R. Dubnička , J. Petržala , L. Kómar

Video interpolation is an important problem in computer vision, which helps overcome the temporal limitation of camera sensors. Existing video interpolation methods usually assume uniform motion between consecutive frames and use linear…

Computer Vision and Pattern Recognition · Computer Science 2019-11-05 Xiangyu Xu , Li Siyao , Wenxiu Sun , Qian Yin , Ming-Hsuan Yang

Spline interpolation has been used in several applications due to its favorable properties regarding smoothness and accuracy of the interpolant. However, when there exists a discontinuity or a steep gradient in the data, some artifacts can…

Numerical Analysis · Mathematics 2021-12-21 Francesc Aràndiga , Antonio Baeza , Dionisio F. Yáñez
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