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Vibrational spectroscopy is a powerful technique to characterize the near-equilibrium dynamics of molecules in the gas- and the condensed-phase. This contribution summarizes efforts from computer-based methods to gain insight into the…

Chemical Physics · Physics 2022-04-15 Markus Meuwly

With the development of human communications the usage of Visual Communications has also increased. The advancement of image compression methods is one of the main reasons for the enhancement. This paper first presents main modes of image…

Computer Vision and Pattern Recognition · Computer Science 2017-09-04 Yaser Sadra

We present a formalism that leads very naturally to a hierarchical description of the different contrast structures in images, providing precise definitions of sharp edges and other texture components. Within this formalism, we achieve a…

Statistical Mechanics · Physics 2007-05-23 A. Turiel , N. Parga

Deep image compression systems mainly contain four components: encoder, quantizer, entropy model, and decoder. To optimize these four components, a joint rate-distortion framework was proposed, and many deep neural network-based methods…

Image and Video Processing · Electrical Eng. & Systems 2020-07-27 Zhisheng Zhong , Hiroaki Akutsu , Kiyoharu Aizawa

In the present article, the main attention is given to fractal sets whose elements have certain restrictions on using digits or combinations of digits in own nega-P-representation. Topological, metric, and fractal properties of images of…

Classical Analysis and ODEs · Mathematics 2022-07-25 Symon Serbenyuk

A fractal surface is a set which is a graph of a bivariate continuous function. In the construction of fractal surfaces using IFS, vertical scaling factors in IFS are important one which characterizes a fractal feature of surfaces…

Dynamical Systems · Mathematics 2014-04-07 Chol-Hui Yun , Hui-Chol Choi , Hyong-Chol O

The weighted Euler characteristic transform (WECT) is a new tool for extracting shape information from data equipped with a weight function. Image data may benefit from the WECT where the intensity of the pixels are used to define the…

Computational Geometry · Computer Science 2023-07-27 Jessi Cisewski-Kehe , Brittany Terese Fasy , Dhanush Giriyan , Eli Quist

This paper introduces a novel variational approach for image compression motivated by recent PDE-based approaches combining edge detection and Laplacian inpainting. The essential feature is to encode the image via a sparse vector field,…

Optimization and Control · Mathematics 2015-03-09 Eva-Maria Brinkmann , Martin Burger , Joana Grah

A coupled oscillator array is shown to approximate convolutions with Gabor filters for image processing tasks. Pixelated image fragments and filter functions are converted to voltages, differenced, and input into a corresponding array of…

Pattern Formation and Solitons · Physics 2014-09-17 Dmitri E. Nikonov , Ian A. Young , George I. Bourianoff

Digital image compression is a technique that allows to reduce the size of an image in order to increase the capacity storage devices and to optimize the use of network bandwidth. The quality of compressed images with the techniques based…

Computer Vision and Pattern Recognition · Computer Science 2017-01-24 Henri Bruno Razafindradina , Paul Auguste Randriamitantsoa , Nicolas Raft Razafindrakoto

Natural images are characterized by the multiscaling properties of their contrast gradient, in addition to their power spectrum. In this work we show that those properties uniquely define an {\em intrinsic wavelet} and present a suitable…

Statistical Mechanics · Physics 2009-11-07 A. Turiel , N. Parga

In this paper offers a simple and lossless compression method for compression of medical images. Method is based on wavelet decomposition of the medical images followed by the correlation analysis of coefficients. The correlation analyses…

Computer Vision and Pattern Recognition · Computer Science 2010-02-12 S. M. Ramesh , A. Shanmugam

Image processing is one of the most immerging and widely growing techniques making it a lively research field. Image processing is converting an image to a digital format and then doing different operations on it, such as improving the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-15 Bhishman Desai , Manish Paliwal , Kapil Kumar Nagwanshi

Images are a substantial portion of the internet, making efficient compression important for reducing storage and bandwidth demands. This study investigates the use of Singular Value Decomposition and low-rank matrix approximations for…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Justin Jiang

We determine the scaling properties of geometric operators such as lengths, areas, and volumes in models of higher derivative quantum gravity by renormalizing appropriate composite operators. We use these results to deduce the fractal…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Maximilian Becker , Carlo Pagani , Omar Zanusso

This paper presents an N-gram context-based Swin Transformer for learned image compression. Our method achieves variable-rate compression with a single model. By incorporating N-gram context into the Swin Transformer, we overcome its…

Image and Video Processing · Electrical Eng. & Systems 2025-10-23 Priyanka Mudgal

If a point particle moves chaotically through a periodic array of scatterers the associated transport coefficients are typically irregular functions under variation of control parameters. For a piecewise linear two-parameter map we analyze…

Chaotic Dynamics · Physics 2009-11-10 R. Klages , T. Klauss

The variation of fine structure constant with the variation of velocity of light has been studied considering contribution to the permeability and permittivity of the vacuum and incorporating contribution of fractal potential originated…

General Physics · Physics 2017-06-09 A. Bhattacharya , R. Saha , R. Ghosh

A weight based dynamic compression method has recently been proposed, which is especially suitable for the encoding of files with locally skewed distributions. Its main idea is to assign larger weights to closer to be encoded symbols by…

Data Structures and Algorithms · Computer Science 2021-05-24 Aharon Fruchtman , Yoav Gross , Shmuel T. Klein , Dana Shapira

This work proposes a different procedure to encrypt images of 256 grey levels and colour, using the symmetric system Advanced Encryption Standard with a variable permutation in the first round, after the x-or operation. Variable permutation…

Cryptography and Security · Computer Science 2014-09-22 V. M. Silva-García , R. Flores-Carapia , C. Rentería-Máarquez , B. Luna-Benoso , C. A. Jiménez Vázquez
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