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While interpolatory bases such as the Lagrange basis form the cornerstone of classical finite element methods, they have been replaced in the more general finite element setting of isogeometric analysis in favor of other desirable…

Numerical Analysis · Mathematics 2025-12-09 Yannis Voet , Espen Sande

We show that an intensity speckle can be directly interpreted as the properties of incident light - amplitude, phase, polarization, and coherency over spatial positions. Revisiting the speckle-correlation scattering matrix (SSM) method [Lee…

Optics · Physics 2019-08-07 KyeoReh Lee , YongKeun Park

At the ILC, the luminosity-weighted average polarization at the IP needs to be determined at the permille-level. In order to reach this goal, the combined information from the polarimeter and the collision data is required. In this study, a…

High Energy Physics - Experiment · Physics 2017-03-02 Robert Karl , Jenny List

Observations made in continuous time are often irregular and contain the missing values across different channels. One approach to handle the missing data is imputing it using splines, by fitting the piecewise polynomials to the observed…

Machine Learning · Computer Science 2022-10-20 Marin Biloš , Emanuel Ramneantu , Stephan Günnemann

We address the traffic light control problem for multiple intersections in tandem by viewing it as a stochastic hybrid system and developing a Stochastic Flow Model (SFM) for it. Using Infinitesimal Perturbation Analysis (IPA), we derive…

Systems and Control · Computer Science 2012-04-19 Yanfeng Geng , Christos G. Cassandras

Reliable estimation of illuminant chromaticity is crucial for simulating color constancy and for white balancing digital images. However, estimating illuminant chromaticity from a single image is an ill-posed task, in general, and existing…

Computer Vision and Pattern Recognition · Computer Science 2019-06-14 Eytan Lifshitz , Dani Lischinski

We present a new method of interpolation for the pixel brightness estimation in astronomical images. Our new method is simple and easily implementable. We show the comparison of this method with the widely used linear interpolation and…

Instrumentation and Methods for Astrophysics · Physics 2013-10-03 A. Popowicz , A. R. Kurek , Z. Filus

We present SOLID-Net, a neural network for spatially-varying outdoor lighting estimation from a single outdoor image for any 2D pixel location. Previous work has used a unified sky environment map to represent outdoor lighting. Instead, we…

Computer Vision and Pattern Recognition · Computer Science 2021-04-29 Yongjie Zhu , Yinda Zhang , Si Li , Boxin Shi

A thin plate spline surface for interpolation of smooth transfinite data prescribed along concentric circles was recently proposed by Bejancu, using Kounchev's polyspline method. The construction of the new `Beppo Levi polyspline' surface…

Numerical Analysis · Mathematics 2015-07-28 Aurelian Bejancu , Reyouf S. Al-Sahli

Light-in-flight (LIF) imaging is the measurement and reconstruction of light's path as it moves and interacts with objects. It is well known that relativistic effects can result in apparent velocities that differ significantly from the…

The infrared divergent scalar three-point integrals are evaluated by the loop regularization method. Three kinds of infrared divergent integrals, i.e., massless triangle diagram, triangle diagrams with one and two massive internal lines,…

High Energy Physics - Phenomenology · Physics 2022-11-17 Jin Zhang

Interferometric scattering microscopy was widely applied in nanoscopic detection and tracking due to its high sensitivity and label-free manner. The sensitivity is limited by contrast. Oblique illumination provided high contrast with lower…

Optics · Physics 2025-11-11 Xiang Zhang , Wenfu Lin , Yatao Yang , Yifan Wang

We show that standard candles can provide some valuable information about the density contrast, which could be particularly important at redshifts where other observations are not available. We use an inversion method to reconstruct the…

Cosmology and Nongalactic Astrophysics · Physics 2019-11-19 Hsu Wen Chiang , Antonio Enea Romano , Fabien Nugier , Pisin Chen

Multispectral and hyperspectral images are increasingly popular in different research fields, such as remote sensing, astronomical imaging, or precision agriculture. However, the amount of free data available to perform machine learning…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Roberta Iuliana Luca , Alexandra Baicoianu , Ioana Cristina Plajer

Aims. We use Hermite splines to interpolate pressure and its derivatives simultaneously, thereby preserving mathematical relations between the derivatives. The method therefore guarantees that thermodynamic identities are obeyed even…

Solar and Stellar Astrophysics · Physics 2019-06-26 V. A. Baturin , W. Däppen , A. V. Oreshina , S. V. Ayukov , A. B. Gorshkov

Stellar amplitude interferometry is limited by the need to have optical distances fixed and known to a fraction of the wavelength. We suggest reviving intensity interferometry, which requires hardware which is many orders of magnitude less…

Astrophysics · Physics 2009-11-11 Aviv Ofir , Erez N. Ribak

Template-based extrapolations from only one photometric band can be a cost-effective method to estimate the total infrared (IR) luminosities ($L_{\mathrm{IR}}$) of galaxies. By utilizing multi-wavelength data that covers across…

Astrophysics of Galaxies · Physics 2016-12-07 Zesen Lin , Guanwen Fang , Xu Kong

We present a new method to parameterize Type Ia Supernovae (SN Ia) multi-color light curves. The method was developed in order to analyze the large number of SN Ia multi-color light curves measured in current high-redshift projects. The…

Astrophysics · Physics 2010-01-18 J. Guy , P. Astier , S. Nobili , N. Regnault , R. Pain

We present a flow-control technique in traffic-light intersections, aiming at regulating queue lengths to given reference setpoints. The technique is based on multivariable integrators with adaptive gains, computed at each control cycle by…

Optimization and Control · Mathematics 2015-07-29 Carla Seatzu , Yorai Wardi

Potentiostatic impedance spectroscopy (IS) is a well stablished characterization technique for elucidating the electric resistivity and capacitive features of materials and devices. In the case of solar cells, by applying a small voltage…