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The fractal dimension of a surface allows its degree of roughness to be characterized quantitatively. However, limited effort is attempted to calculate the fractal dimension of surfaces computed from precisely known atomic coordinates from…

Mathematical Software · Computer Science 2024-03-12 Jonathan Yik Chang Ting , Andrew Thomas Agars Wood , Amanda Susan Barnard

A new method for improving the resolution of astronomical images is presented. It is based on the principle that sampled data cannot be fully deconvolved without violating the sampling theorem. Thus, the sampled image should not be…

Astrophysics · Physics 2009-10-30 P. Magain , F. Courbin , S. Sohy

The soon-to-be-launched Space Infrared Telescope Facility (SIRTF) shall produce image data with an a-posteriori pointing knowledge of 1.4 arcsec (1 sigma radial) with a goal of 1.2 arcsec in the International Celestial Reference System…

Astrophysics · Physics 2007-05-23 F. Masci , D. Makovoz , M. Moshir , D. Shupe , John W. Fowler

Image Processing, Optimization and Prediction of an Image play a key role in Computer Science. Image processing provides a way to analyze and identify an image .Many areas like medical image processing, Satellite images, natural images and…

Computer Vision and Pattern Recognition · Computer Science 2013-05-14 Shweta Jain , Urmila Shrawankar

Accurate automatic identification of astronomical objects in an imperfect world of non-linear wide-angle optics, imperfect optics, inaccurately pointed telescopes, and defect-ridden cameras is not always a trivial first step. In the past…

Astrophysics · Physics 2009-11-10 Lior Shamir , Robert J. Nemiroff

We give an expository review of applications of computational algebraic statistics to design and analysis of fractional factorial experiments based on our recent works. For the purpose of design, the techniques of Gr\"obner bases and…

Methodology · Statistics 2012-04-09 Satoshi Aoki , Akimichi Takemura

It is demonstrated that non-constant kernel solution, that can fit the spatial variations of the kernel can be obtained with minimum computing time. The CPU cost required with this new extension of the image subtraction method is almost the…

Astrophysics · Physics 2007-05-23 C. Alard

This paper introduces an astronomical image alignment algorithm. This algorithm uses the means of the rows and columns of the original image for alignment, and finds the optimal offset corresponding to the maximum similarity by comparing…

Instrumentation and Methods for Astrophysics · Physics 2024-04-16 Jie Zheng , Linqiao Jiang , Jianfeng Tian

This work proposes the development and study of a novel technique for the generation of fractal descriptors used in texture analysis. The novel descriptors are obtained from a multiscale transform applied to the Fourier technique of fractal…

Data Analysis, Statistics and Probability · Physics 2012-01-24 João Batista Florindo , Odemir Martinez Bruno

In gravitational lensing, the magnification effect changes the luminosity and size of a background galaxy. If the image sizes are not small compared to the scale over which the magnification and shear vary, higher-order distortions occur…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-22 Xinzhong Er

Identification of linear features (streaks) in astronomical images is important for several reasons, including: detecting fast-moving near-Earth asteroids; detecting or flagging faint satellites streaks; and flagging or removing diffraction…

Instrumentation and Methods for Astrophysics · Physics 2018-11-07 Guy Nir , Barak Zackay , Eran O. Ofek

This study introduces a novel unsupervised medical image feature extraction method that employs spatial stratification techniques. An objective function based on weight is proposed to achieve the purpose of fast image recognition. The…

Image and Video Processing · Electrical Eng. & Systems 2024-06-28 Qishi Zhan , Dan Sun , Erdi Gao , Yuhan Ma , Yaxin Liang , Haowei Yang

We present a toy model for extending the Friedmann equations of relativistic cosmology using fractional derivatives. We do this by replacing the integer derivatives, in a few well-known cosmological results with fractional derivatives…

General Relativity and Quantum Cosmology · Physics 2021-01-25 E. Barrientos , S. Mendoza , P. Padilla

The optical model is a fundamental tool to describe scattering processes in nuclear physics. The basic input is an optical model potential, which describes the refraction and absorption processes more or less schematically. Of special…

General Physics · Physics 2025-05-09 Richard Herrmann

Astronomical source deblending is the process of separating the contribution of individual stars or galaxies (sources) to an image comprised of multiple, possibly overlapping sources. Astronomical sources display a wide range of sizes and…

Instrumentation and Methods for Astrophysics · Physics 2022-01-14 Ryan Hausen , Brant Robertson

Three-dimensional point clouds can be viewed as discrete samples of smooth manifolds, allowing spectral analysis using the Laplace-Beltrami operator (LBO). However, the traditional point cloud manifold harmonic transform (PMHT) is limited…

General Mathematics · Mathematics 2025-10-27 Jiamian Li , Bing-Zhao Li

We present an efficient algorithm designed for and capable of detecting elongated, thin features such as lines and curves in astronomical images, and its application to the automatic detection of gravitational arcs. The algorithm is…

Astrophysics · Physics 2009-11-11 Gregor Seidel , Matthias Bartelmann

Many estimation problems in astrophysics are highly complex, with high-dimensional, non-standard data objects (e.g., images, spectra, entire distributions, etc.) that are not amenable to formal statistical analysis. To utilize such data and…

Applications · Statistics 2011-11-04 Ann B. Lee , Peter E. Freeman

The article provides a brief description of the software package DECH for processing and analysis of astronomical spectra. DECH supports all stages of processing and analysis of spectral data, including image preprocessing, spectra…

Instrumentation and Methods for Astrophysics · Physics 2025-01-22 G. A. Galazutdinov

The Quality of image fusion is an essential determinant of the value of processing images fusion for many applications. Spatial and spectral qualities are the two important indexes that used to evaluate the quality of any fused image.…

Computer Vision and Pattern Recognition · Computer Science 2012-09-18 Firouz Abdullah Al-Wassai , N. V. Kalyankar , Ali A. Al-Zaky