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We develop a new definition of fractals which can be considered as an abstraction of the fractals determined through self-similarity. The definition is formulated through imposing conditions which are governed the relation between the…

Metric Geometry · Mathematics 2019-08-13 Marat Akhmet , Ejaily Milad Alejaily

Reducing the data footprint of visual content via image compression is essential to reduce storage requirements, but also to reduce the bandwidth and latency requirements for transmission. In particular, the use of compressed images allows…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 João Maria Janeiro , Stanislav Frolov , Alaaeldin El-Nouby , Jakob Verbeek

Cohesive particles form agglomerates that are usually very porous. Their geometry, particularly their fractal dimension, depends on the agglomeration process (diffusion-limited or ballistic growth by adding single particles or…

Soft Condensed Matter · Physics 2023-12-07 Dietrich E. Wolf , Thorsten Pöschel

We describe an end-to-end trainable model for image compression based on variational autoencoders. The model incorporates a hyperprior to effectively capture spatial dependencies in the latent representation. This hyperprior relates to side…

Image and Video Processing · Electrical Eng. & Systems 2018-05-02 Johannes Ballé , David Minnen , Saurabh Singh , Sung Jin Hwang , Nick Johnston

This paper describes a novel method of encrypting wave files in popular image formats like JPEG, TIF and PNG along with retrieving them from these image files. MATLAB software is used to perform matrix manipulation to encrypt and decrypt…

Cryptography and Security · Computer Science 2013-08-27 Rahul R Upadhyay

Traditional methods, such as JPEG, perform image compression by operating on structural information, such as pixel values or frequency content. These methods are effective to bitrates around one bit per pixel (bpp) and higher at standard…

Computer Vision and Pattern Recognition · Computer Science 2024-02-22 Jordan Dotzel , Bahaa Kotb , James Dotzel , Mohamed Abdelfattah , Zhiru Zhang

Inspired by recent work on compression with and for young humans, the success of transform-based approaches to information processing, and the rise of powerful language-based AI, we propose \emph{textual transform coding}. It shares some of…

Information Theory · Computer Science 2023-05-04 Tsachy Weissman

We study dimensional properties of visible parts of fractal percolation in the plane. Provided that the dimension of the fractal percolation is at least 1, we show that, conditioned on non-extinction, almost surely all visible parts from…

Classical Analysis and ODEs · Mathematics 2013-03-25 I. Arhosalo , E. Järvenpää , M. Järvenpää , M. Rams , P. Shmerkin

Fractal image compression, Culik's image compression and zerotree prediction coding of wavelet image decomposition coefficients succeed only because typical images being compressed possess a significant degree of self-similarity. Besides…

Computer Vision and Pattern Recognition · Computer Science 2016-11-15 Oleg Kiselyov , Paul Fisher

In the advent of a digital health revolution, vast amounts of clinical data are being generated, stored and processed on a daily basis. This has made the storage and retrieval of large volumes of health-care data, especially,…

Computer Vision and Pattern Recognition · Computer Science 2019-05-10 Asif Shahriyar Sushmit , Shakib Uz Zaman , Ahmed Imtiaz Humayun , Taufiq Hasan , Mohammed Imamul Hassan Bhuiyan

In this paper we examine the existence of bicomplexified inverse Fourier transform as an extension of its complexified inverse version within the region of convergence of bicomplex Fourier transform. In this paper we use the idempotent…

Complex Variables · Mathematics 2015-11-05 A. Banerjee , S. K. Datta , Md. A. Hoque

The proliferation of deep learning-based machine vision applications has given rise to a new type of compression, so called video coding for machine (VCM). VCM differs from traditional video coding in that it is optimized for machine vision…

Computer Vision and Pattern Recognition · Computer Science 2023-08-09 Yeongwoong Kim , Hyewon Jeong , Janghyun Yu , Younhee Kim , Jooyoung Lee , Se Yoon Jeong , Hui Yong Kim

Lossy image compression is a many-to-one process, thus one bitstream corresponds to multiple possible original images, especially at low bit rates. However, this nature was seldom considered in previous studies on image compression, which…

Image and Video Processing · Electrical Eng. & Systems 2021-10-01 Haichuan Ma , Dong Liu , Cunhui Dong , Li Li , Feng Wu

Almost all digital videos are coded into compact representations before being transmitted. Such compact representations need to be decoded back to pixels before being displayed to humans and - as usual - before being enhanced/analyzed by…

Image and Video Processing · Electrical Eng. & Systems 2023-11-03 Xihua Sheng , Li Li , Dong Liu , Houqiang Li

Existing video compression (VC) methods primarily aim to reduce the spatial and temporal redundancies between consecutive frames in a video while preserving its quality. In this regard, previous works have achieved remarkable results on…

Image and Video Processing · Electrical Eng. & Systems 2023-11-09 Dawit Mureja Argaw , Junsik Kim , In So Kweon

A shift-invariant space is a space of functions that is invariant under integer translations. Such spaces are often used as models for spaces of signals and images in mathematical and engineering applications. This paper characterizes those…

Functional Analysis · Mathematics 2010-07-07 Akram Aldroubi , Carlos Cabrelli , Christopher Heil , Keri Kornelson , Ursula Molter

We developed software for detection of variable stars using CCD photometry. It works with "varfind data" that could be exported after processing CCD frames using C-Munipack. Our goals were maximum automation and support of large fields of…

Instrumentation and Methods for Astrophysics · Physics 2018-12-18 Vitalii Breus

Hyperspectral images, which record the electromagnetic spectrum for a pixel in the image of a scene, often store hundreds of channels per pixel and contain an order of magnitude more information than a typical similarly-sized color image.…

Computer Vision and Pattern Recognition · Computer Science 2023-02-10 Shima Rezasoltani , Faisal Z. Qureshi

By taking into account the properties and limitations of the human visual system, images can be more efficiently compressed, colors more accurately reproduced, prints better rendered. To show all these advantages in this paper new adapted…

Computer Vision and Pattern Recognition · Computer Science 2015-03-13 Jaswinder Singh Dilawari , Ravinder Khanna

Light beams having a vectorial field structure - or polarization - that varies over the transverse profile and a central optical singularity are called vector-vortex (VV) beams and may exhibit specific properties, such as focusing into…

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