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Design of Digital Signature Algorithm by Fractals and Chaos Theory
2012
International Journal of Computer Applications
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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
2022
Entropy
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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
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The Internet Archive has digitized a microfilm copy of this work. It may be possible to borrow a copy for reading.
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
2009
International Journal of Digital Multimedia Broadcasting
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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
2000
Proceedings 2000 International Conference on Image Processing (Cat. No.00CH37101)
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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
2009
Proceedings of the 11th Annual conference on Genetic and evolutionary computation - GECCO '09
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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]
2005
Lecture Notes in Computer Science
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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
2001
Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
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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
1994
Theoretical Computer Science
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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
2014
The Smart Computing Review
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, 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
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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
2019
Latvian Journal of Physics and Technical Sciences
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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
2017
Vibroengineering PROCEDIA
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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
2018
infocus Magazine
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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
2020
Journal of the Institute of Engineering
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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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