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We develop a method for the rigorous estimation of Hausdorff dimensions of limit sets produced by continued fraction iterated function systems. Our method is based on the approximation of a Perron-Frobenius operator using the finite element…

Numerical Analysis · Mathematics 2026-04-23 Jacob Brown

Wavelet denoising is a classical and effective approach for reducing noise in images and signals. Suggested in 1994, this approach is carried out by rectifying the coefficients of a noisy image in the transform domain, using a set of scalar…

Image and Video Processing · Electrical Eng. & Systems 2021-04-07 Yacov Hel-Or , Gil Ben-Artzi

The renormalization of general gauge theories on flat and curved space-time backgrounds is considered within the Sp(2)-covariant quantization method. We assume the existence of a gauge-invariant and diffeomorphism invariant regularization.…

High Energy Physics - Theory · Physics 2015-05-20 Peter M. Lavrov

We present the strategies adopted in the relative and absolute calibration of two different data sets: U,B,V,I-band images collected with the Wide Field Imager (WFI) mosaic camera mounted on the 2.2m ESO/MPI Telescope and u,v,b,y Stroemgren…

Astrophysics · Physics 2015-05-13 A. Calamida , C. E. Corsi , G. Bono , P. B. Stetson , L. M. Freyhammer , R. Buonanno

Influence of a spiral spin structure on the superconducting (SC) pairing in the most probable active $\gamma$ band of $Sr_2RuO_4$ is studied in the mean field approximation. Such structure with "incommensurate" vector $Q=2\pi(1/3,1/3)$ has…

Superconductivity · Physics 2007-05-23 A. A. Ovchinnikov , M. Ya. Ovchinnikova

This is a direct computation of the spectral representation of homogeneous spin-weighted spherical random fields with arbitrary integer spin. It generalises known results from Cosmology for the spin-2 Cosmic Microwave Background…

General Physics · Physics 2019-04-24 Nicolas Tessore

We describe coordinate systems adapted for the space between two surfaces, such as those delineating the highly folded cortex in mammalian brains. These systems are estimated in order to satisfy geometric priors, including streamline…

Optimization and Control · Mathematics 2019-11-20 Laurent Younes , Kwame S. Kutten , J. Tilak Ratnanather

We present a derivation of the transformation between the Q and U Stokes parameters and the E and B scalar and pseudo-scalar fields. We emphasize the geometrical properties that such transformation must satisfy. We present the E and B…

Astrophysics · Physics 2009-11-06 Matias Zaldarriaga

Selective plane illumination microscopy (SPIM) is an optical sectioning imaging approach based on orthogonal light pathways for excitation and detection. The excitation pathway has an inverse relation between the optical sectioning strength…

Optics · Physics 2024-07-29 Steven J. Sheppard , Peter T. Brown , Douglas P. Shepherd

Spin asymmetries in collisions of spin-polarized hadrons probe polarized parton distributions, which encode the spin structure of the colliding hadrons. To perform precision physics studies with spin asymmetries, higher order QCD…

High Energy Physics - Phenomenology · Physics 2026-02-11 Thomas Gehrmann , Markus Löchner

We analyze the space of geometrically continuous piecewise polynomial functions or splines for quadrangular and triangular patches with arbitrary topology and general rational transition maps. To define these spaces of G 1 spline functions,…

Algebraic Geometry · Mathematics 2016-03-24 Bernard Mourrain , Raimundas Vidunas , Nelly Villamizar

Improved performance in higher-order spectral density estimation is achieved using a general class of infinite-order kernels. These estimates are asymptotically less biased but with the same order of variance as compared to the classical…

Statistics Theory · Mathematics 2007-06-13 Arthur Berg , Dimitris Politis

Neuroimaging studies based on magnetic resonance imaging (MRI) typically employ rigorous forms of preprocessing. Images are spatially normalized to a standard template using linear and non-linear transformations. Thus, one can assume that a…

Computer Vision and Pattern Recognition · Computer Science 2019-11-15 Fabian Eitel , Jan Philipp Albrecht , Friedemann Paul , Kerstin Ritter

Motivated by recent work involving the analysis of biomedical imaging data, we present a novel procedure for constructing simultaneous confidence corridors for the mean of imaging data. We propose to use flexible bivariate splines over…

Methodology · Statistics 2021-06-08 Yueying Wang , Guannan Wang , Li Wang , R. Todd Ogden

Influence of relative spin alignment on the band splitting and magnetic excitations in the bilayer correlated systems is studied. Splitting occures to be large or small depending on orientation of staggered spins of layers. Change of the…

Strongly Correlated Electrons · Physics 2009-11-07 A. A. Ovchinnikov , M. Ya. Ovchinnikova

High-contrast imaging of exoplanets hinges on powerful post-processing methods to denoise the data and separate the signal of a companion from its host star, which is typically orders of magnitude brighter. Existing post-processing…

Instrumentation and Methods for Astrophysics · Physics 2022-10-05 Timothy D. Gebhard , Markus J. Bonse , Sascha P. Quanz , Bernhard Schölkopf

In an effort to transcend the limitations of differential imaging of exoplanets in the era of extremely large telescopes (ELTs), the first paper in this series established a rigorous, fully polarimetric framework for determining the science…

Instrumentation and Methods for Astrophysics · Physics 2016-02-18 Richard A. Frazin

We present a method to determine the static aberrations in a nearly diffraction-limited spectrograph introduced, for example, by alignment or manufacturing errors. We consider an instrument with two stages separated by a slit or image…

Instrumentation and Methods for Astrophysics · Physics 2022-06-01 B. Sánchez , A. M. Watson , S. Cuevas

This paper introduces the Wide-band Asp-Clean (\texttt{WAsp}) algorithm, a novel scale-sensitive image reconstruction method tailored for wide-band imaging applications. This algorithm is particularly beneficial for thermal noise-limited…

Instrumentation and Methods for Astrophysics · Physics 2026-04-27 M. Hsieh , S. Bhatnagar , U. Rau

Photospheric magnetic vector maps from two different instruments are used to model the nonlinear force-free coronal magnetic field above an active region. We use vector maps inferred from polarization measurements of the Solar Dynamics…

Solar and Stellar Astrophysics · Physics 2015-06-15 J. K. Thalmann , S. K. Tiwari , T. Wiegelmann