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An empirical method of modeling the stellar spectrum of galaxies is proposed, based on two successive applications of Principal Component Analysis (PCA). PCA is first applied to the newly available stellar library STELIB, supplemented by…

Astrophysics · Physics 2009-11-10 Cheng Li , Ting-Gui Wang , Hong-Yan Zhou , Xiao-Bo Dong , Fu-Zhen Cheng

The computation of microlensing light curves represents a bottleneck for the modeling of planetary events, making broad searches in the vast parameter space of microlensing extremely time-consuming. The release of the first version of…

Instrumentation and Methods for Astrophysics · Physics 2018-07-25 V. Bozza , E. Bachelet , F. Bartolić , T. Heintz , A. Hoag , M. Hundertmark

Cumulant mapping employs a statistical reconstruction of the whole by sampling its parts. The theory developed in this work formalises and extends ad hoc methods of `multi-fold' or `multi-dimensional' covariance mapping. Explicit formulae…

Data Analysis, Statistics and Probability · Physics 2023-11-06 Leszek J. Frasinski

Many current neural networks for medical imaging generalise poorly to data unseen during training. Such behaviour can be caused by networks overfitting easy-to-learn, or statistically dominant, features while disregarding other potentially…

Image and Video Processing · Electrical Eng. & Systems 2022-12-05 Joona Pohjonen , Carolin Stürenberg , Antti Rannikko , Tuomas Mirtti , Esa Pitkänen

With the rapidly increasing rate of microlensing planet detections, microlensing modeling software faces significant challenges in computation efficiency. Here, we develop the Twinkle code, an efficient and robust binary-lens modeling…

Instrumentation and Methods for Astrophysics · Physics 2025-03-18 Suwei Wang , Lile Wang , Subo Dong

The recently introduced Spatial Spectral Compressive Spectral Imager (SSCSI) has been proposed as an alternative to carry out spatial and spectral coding using a binary on-off coded aperture. In SSCSI, the pixel pitch size of the coded…

Image and Video Processing · Electrical Eng. & Systems 2019-01-16 Edgar Salazar , Alejandro Parada-Mayorga , Gonzalo R. Arce

The proper scientific analysis of a large amount of stellar spectra requires certain capabilities of the analysing tool (e.g. precise semi-automatic fitting for normalisation of the continuum or line-list assisted measurement of spectral…

Instrumentation and Methods for Astrophysics · Physics 2011-12-14 Petr Škoda

In this paper, we present a telegraph diffusion model with variable exponents for image despeckling. Moving beyond the traditional assumption of a constant exponent in the telegraph diffusion framework, we explore three distinct variable…

Analysis of PDEs · Mathematics 2024-11-14 Sudeb Majee , Åke Brännström , Niklas L. P. Lundström

By placing a diffractive element in front of an image sensor, we are able to multiplex the spectral and angular information of a scene onto the image sensor. Reconstruction of the angular-spectral distribution is attained by first…

Optics · Physics 2018-02-06 Peng Wang , Rajesh Menon

There has been exciting progress in generating images from natural language or layout conditions. However, these methods struggle to faithfully reproduce complex scenes due to the insufficient modeling of multiple objects and their…

Computer Vision and Pattern Recognition · Computer Science 2024-10-02 Yunnan Wang , Ziqiang Li , Zequn Zhang , Wenyao Zhang , Baao Xie , Xihui Liu , Wenjun Zeng , Xin Jin

We have developed a web tool to perform Principal Component Analysis (PCA, Murtagh & Heck 1987; Kendall 1980) onto spectral data. The method is especially designed to perform spectral classification of galaxies from a sample of input…

Astrophysics of Galaxies · Physics 2009-09-22 Mauricio Ortiz , Gaspar Galaz

Spectral singularities are among generic mathematical features of complex scattering potentials. Physically they correspond to scattering states that behave like zero-width resonances. For a simple optical system, we show that a spectral…

Optics · Physics 2011-10-18 Ali Mostafazadeh

We study the position-dependent power spectrum and the integrated bispectrum statistic for 2D cosmological fields on the sphere (integrated angular bispectrum). First, we derive a useful, $m$-independent, formula for the full-sky integrated…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-19 Gabriel Jung , Filippo Oppizzi , Andrea Ravenni , Michele Liguori

Spectral 3D computer vision examines both the geometric and spectral properties of objects. It provides a deeper understanding of an object's physical properties by providing information from narrow bands in various regions of the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-17 Yajie Sun , Ali Zia , Vivien Rolland , Charissa Yu , Jun Zhou

We show the effectiveness of automatic differentiation in efficiently and correctly computing and controlling the spectrum of implicitly linear operators, a rich family of layer types including all standard convolutional and dense layers.…

Machine Learning · Computer Science 2024-10-08 Ali Ebrahimpour Boroojeny , Matus Telgarsky , Hari Sundaram

The useful dynamic range of an image in the diffraction limited regime is usually limited by speckles caused by residual phase errors in the optical system forming the image. The technique of speckle decorrelation involves introducing many…

Astrophysics · Physics 2007-05-23 Anand Sivaramakrishnan , James P. Lloyd , Philip E. Hodge , Bruce A. Macintosh

Frequency conversion of non-classical light enables robust encoding of quantum information based upon spectral multiplexing that is particularly well-suited to integrated-optics platforms. Here we present an intrinsically deterministic…

Quantum Physics · Physics 2017-01-11 Laura J. Wright , Michal Karpinski , Christoph Soeller , Brian J. Smith

Imaging through scattering is an important, yet challenging problem. Tremendous progress has been made by exploiting the deterministic input-output "transmission matrix" for a fixed medium. However, this "one-to-one" mapping is highly…

Image and Video Processing · Electrical Eng. & Systems 2018-09-27 Yunzhe Li , Yujia Xue , Lei Tian

An occulter is a large diffracting screen which may be flown in conjunction with a telescope to image extrasolar planets. The edge is shaped to minimize the diffracted light in a region beyond the occulter, and a telescope may be placed in…

Instrumentation and Methods for Astrophysics · Physics 2012-10-30 E. Cady

We introduce FlexibleSUSY, a Mathematica and C++ package, which generates a fast, precise C++ spectrum generator for any SUSY model specified by the user. The generated code is designed with both speed and modularity in mind, making it easy…

High Energy Physics - Phenomenology · Physics 2015-03-19 Peter Athron , Jae-hyeon Park , Dominik Stöckinger , Alexander Voigt