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Design of Digital Signature Algorithm by Fractals and Chaos Theory

Dr. G.Geetha, K. Thamizhchelvy
2012 International Journal of Computer Applications  
Message Authentication Code is a function of the message and a secret key that produces a fixed-length value that serves as the authenticator. MAC provides authentication and confidentiality.  ...  It uses Cryptographic and Steganographic ideas to conceal the data in the image. MAI is generated by using fractals.  ...  We denote the sum of the ith row of A by ri(A) and the sum of the jth column by cj(A). The n x n identity matrix will be denoted by In.  ... 
doi:10.5120/4608-6588 fatcat:3wgjonp54zdhtjlwuwodxdnaxq

FPGA-Implemented Fractal Decoder with Forward Error Correction in Short-Reach Optical Interconnects

Svitlana Matsenko, Oleksiy Borysenko, Sandis Spolitis, Aleksejs Udalcovs, Lilita Gegere, Aleksandr Krotov, Oskars Ozolins, Vjaceslavs Bobrovs
2022 Entropy  
Indivisible codes allow for the end-to-end (E2E) control of the transmission and processing of information in digital systems and design devices with a regular structure and high speed.  ...  We achieved a reduction in hardware costs for a fractal decoder by using the fractal property of the indivisible code from 10% to 30% for different n while receiving the reciprocal of the golden ratio.  ...  As a measure for calculating hardware costs, we counted the number of inputs of logical elements of the fractal digital device and present them as a sum of inputs.  ... 
doi:10.3390/e24010122 pmid:35052148 pmcid:PMC8774681 fatcat:evvpa2vswbahlehynelsvun2vq

Page 9079 of Mathematical Reviews Vol. , Issue 2000m [page]

2000 Mathematical Reviews  
Summary: “Most fractal image coding methods rely upon col- lage coding, that is, finding a fractal transform operator 7, that sends a target image u as close as possible to itself.  ...  Summary: “In fractal image compression, a digital image is ap- proximated by the unique fixed point of a contractive affine map- ping.  ... 

Slow Motion and Zoom in HD Digital Videos Using Fractals

Maurizio Murroni, Cristian Perra, Daniele D. Giusto
2009 International Journal of Digital Multimedia Broadcasting  
Fast scene change detection, active scene detection, wavelet subband analysis, and color fractal coding based on Earth Mover's Distance (EMD) measure are used to reduce computational load and to improve  ...  Purpose of this paper is to present an alternative technique combining fractals theory and wavelet decomposition to achieve spatial zoom and slow motion replay of HD digital color video sequences.  ...  The proposed approach to video rendering is compliant with the new trend of convergence of digital TV systems and services. Figure 1 : 1 Fractal coding of colour images.  ... 
doi:10.1155/2009/496934 fatcat:yztki7p3z5byzox5wun76axesy

Fast code enhancement with local search for fractal image compression

R. Hamzaoui, D. Saupe, M. Hiller
2000 Proceedings 2000 International Conference on Image Processing (Cat. No.00CH37101)  
Optimal fractal coding is an NP-hard combinatorial optimization problem. Conventional coding is based on a greedy suboptimal algorithm known as collage coding.  ...  Optimal fractal coding consists of finding in a finite set of contractive affine mappings one whose unique fixed point is closest to the original image.  ...  In fractal image compression, the code is a representation of a contractive affine mapping in a complete metric space of digital images [5] .  ... 
doi:10.1109/icip.2000.899251 dblp:conf/icip/HamzaouiSH00 fatcat:3gtn645tjngn5mvbb6luyb6bw4

The challenge of irrationality

Jean Krohn, Peter J. Bentley, Hooman Shayani
2009 Proceedings of the 11th Annual conference on Genetic and evolutionary computation - GECCO '09  
The paper summarizes the fractal protein algorithm, provides a new analysis of how fractals are exploited by the developmental process, then presents experiments, results and analysis showing that evolution  ...  Computational development traditionally focuses on the use of an iterative, generative mapping process from genotype to phenotype in order to obtain complex phenotypes which comprise regularity, repetition and  ...  scaling factors, and summed to the total output.  ... 
doi:10.1145/1569901.1570000 dblp:conf/gecco/KrohnBS09 fatcat:mtyorouclvbvrn6pnww6yvimtq

The Use of Image Smoothness Estimates in Speeding Up Fractal Image Compression [chapter]

Tomas Žumbakis, Jonas Valantinas
2005 Lecture Notes in Computer Science  
The paper presents a new attempt to speed up fractal image encoding.  ...  The computational complexity of the fractal image encoding process is reduced considerably.  ...  Jacquin described the first practical block based fractal image coding scheme, [2] , fractal image coding technique has attracted a lot of attention as a new digital image processing technology.  ... 
doi:10.1007/11499145_118 fatcat:62xydqw5y5g7zmnykh7bv7n7ti

Stochastic-Computational Representation of Self-Similarity for Fractal Coding

Kohji Kamejima
2001 Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications  
A representation of fractal patterns is presented for coding complex random patterns in noisy imagery.  ...  In this continuousdiscrete representation, background noise is shown to be eliminated via input-and outputfilitering.  ...  Figure 4 : 1000 Figure 5 : 410005 Noisy Observation of Leaves: Ξ = 1000, Ω = Fractal Coding of Noisy Leaves Figure 10 : 10 Fractal Coding of Noisy Leaves  ... 
doi:10.5687/sss.2001.87 fatcat:hkcbiu2ffvgg7ct4wron5upfjq

Mellin transforms and asymptotics: digital sums

Philippe Flajolet, Peter Grabner, Peter Kirschenhofer, Helmut Prodinger, Robert F. Tichy
1994 Theoretical Computer Science  
Prodinger and R.F. Tichy, Mellin transforms and asymptotics: digital sums, Theoretical Computer Science 123 (1994) 291-314.  ...  This approach yields naturally the Fourier series involved in the expansions of a variety of digital sums related to number representation systems. -Elsevier Science B.V.  ...  The kth bit in the Gray code GC(n) of n is given by the sum modulo 2 of the kth and (k+ 1)th digit in the binary representation of n.  ... 
doi:10.1016/0304-3975(92)00065-y fatcat:2kcxsh4vbjdcbkfhmyne4eo3rq

Design and Hardware Implementation of Fractal Comb-Structured Signals

Yuriy Bobalo
2014 The Smart Computing Review  
, and fractal Brownian signals.  ...  His research interests include signal processing, coding theory, pseudorandom sequence systems with chaotic dynamics (differential equations and circuits, including his own invention) and their synchronization  ...  with fractal order w =9 asynchronous digital-to-analog converter (DAC) [오류!  ... 
doi:10.6029/smartcr.2014.06.004 fatcat:vmwhx5zjrng4paftif3wv56ola

Single Core Hardware Module to Implement Boolean Function Classification Techniques

2011 American Journal of Applied Sciences  
Problem statement: Boolean function classification plays an important role in the field like technology mapping for digital circuit design, function mapping for minimization and the development of universal  ...  The compression algorithm was performed by incorporating Boolean function classification into Huffman coding.  ...  It performs the translations of hardware description language code into an equivalent netlist of digital cells.  ... 
doi:10.3844/ajassp.2011.1176.1181 fatcat:a2jrgzmrlbdy3dz7hly76zzimi

Noise Immunity of the Fibonacci Counter with the Fractal Decoder Device for Telecommunication Systems

S. Matsenko, O. Borysenko, S. Spolitis, V. Bobrovs
2019 Latvian Journal of Physics and Technical Sciences  
The method was tested and investigated in the developed noise immune pulse counter based on a minimal form of Fibonacci code with a fractal decoding device.  ...  The proposed device, which is simulated in the NI Multisim software, possesses a homogenous structure, increased noise immunity, performance and detection of bit errors in the process of its operation.  ...  Decoders and pulse counters are the components of digital devices.  ... 
doi:10.2478/lpts-2019-0027 fatcat:yw5lvunvcfcqjhf33yquwp6cpi

Entropies in investigation of dynamical systems

Igor Soloviev, Natalia Ampilova
2017 Vibroengineering PROCEDIA  
Methods of analysis of dynamical systems phase portraits, which are based on Rényi entropy, fractal and multifractal characteristics, and results of numerical experiments are given.  ...  Fractal sets have a self-similarity property and may be described one numerical characteristics -fractal dimension.  ...  All the cells having close exponent values form a fractal subset, and fractal dimensions of these subsets form multifractal spectrum.  ... 
doi:10.21595/vp.2017.18675 fatcat:jw5z2ie3grb2hevzbdmetogmea

The Problem of Perimeter

John Russ
2018 infocus Magazine  
Whether this increase corresponds to exactly fractal scaling or not, it still implies that measured perimeter is an artefact of the resolution used to examine the object.  ...  report numeric values, and use them in shape characterisation.  ...  Comparing the same approaches to determine the circumference of a large (1000 pixel diameter) circle produces a result of 3307.6 by summing chain code, and 3137.0 by summing anti-aliased pixel densities  ... 
doi:10.22443/rms.inf.1.167 fatcat:zoiscygyvjdlpb7msupv6wpj64

Fractal Image Compression Using Canonical Huffman Coding

Shree Ram Khaitu, Sanjeeb Prasad Panday
2020 Journal of the Institute of Engineering  
The main motivations behind the image compression are for the efficient and lossless transmission as well as for storage of digital data.  ...  This paper highlights the fractal image compression method based on the fractal features and searching and finding the best replacement blocks for the original image.  ...  Fractal Image Generation Fractal image Compression is a lossy compression method for digital image, based on fractals which are best suitable for textures and natural images, relying on the fact that parts  ... 
doi:10.3126/jie.v15i1.27718 fatcat:2nsmygfk3rfdxgaj7dzt7sqy34
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