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Some recent trends from research mathematics and their connections to teaching: Case studies inspired by parallel developments in science and technology
[article]
2006
arXiv
pre-print
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While some of the core ideas stay and have stayed relatively constant over a long period of time, they must be varied in accordance with the needs and the demands of students, and they must constantly ...
Our thoughts and suggestions on the use of these trends in teaching have been tried out by the author, and they are now in textbooks, some by the author. ...
In addition the author gratefully acknowledges many discussions over time with numerous colleagues and students, too many to list. ...
arXiv:math/0609209v1
fatcat:icrkteqlzfchzhs4m6xqbvsc3m
OSINT as a part of cyber defense system
2019
Theoretical and Applied Cybersecurity
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, analysis of the dynamics of thematic information flows with the use of nonlinear analysis, automatic formation of models of subject areas in the field of cyber security are presented. ...
The description of methodological and instrumental means of analysis and modeling of information flows, distributed content monitoring of global networks, the creation of multilingual full-text databases ...
methods are more and more often applied: statistical, fractal, Fourier or wavelet analysis. ...
doi:10.20535/tacs.2664-29132019.1.169091
fatcat:smmiyhv6ejc7bfeen6veehaohu
Research on Target Detection Algorithm of Radar and Visible Image Fusion Based on Wavelet Transform
2020
Tehnički Vjesnik
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The radar image is denoised by a combination of median filtering and wavelet transform. The processed visible light and radar image are fused with wavelet transform strategy. ...
The multi-scale fractal model is used to extract the target features, and the difference between the fractal features of the target and the background is used to detect the target. ...
Acknowledgements This article is funded by National Natural Science Fund (No. 61672304), Qiqihar City Science and Technology Project Fund (GYGG -201626) and Graduate Innovation and Research Project Fund ...
doi:10.17559/tv-20190104103349
fatcat:iqywflu5tndyfp2czyfpdk2hvy
Different Edge Detection Algorithms Comparison and Analysis on Handwritten Chinese Character Recognition
2012
International Journal of Computer Applications
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These algorithms are sensitive to image noise and we nowadays discuss new edge detection for the theory of wavelet edge detection method and genetic algorithms. ...
The acquired image will has different levels of noise pollution and image distortion in Handwritten Chinese character recognition document image processing. ...
Although the field of classical edge detection has the edge detection operator and the other detections are based on wavelet, fractal theory method and morphology. ...
doi:10.5120/7281-0391
fatcat:yzqeag6c6bd4tlejsaqgfu55t4
Image analysis for digital media applications
2001
IEEE Computer Graphics and Applications
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Acknowledgment Our work on cartoon image analysis, handwriting recognition, and document image compression is supported by several grants from the Australian Research Council. ...
Many research staff and postgraduate students of the Image Processing Lab at the University of Sydney and the Signal Processing Lab at the City University of Hong Kong have worked on these projects and ...
and matching
(high-level analysis)
Bayes theory: classification 11
Neural net classifiers: object recognition, segmentation 11
Fuzzy classifiers: object recognition, rule-based systems 9
Hidden Markov ...
doi:10.1109/38.895126
fatcat:pfhnkx3zyrhtpmpwchb7dhg4ym
Contents
2016
Procedia Computer Science
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Patch with Half Rectangular Fractal Techniques S.K. ...
Guru . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 370 Analysis and Design of Triple Band Compact Microstrip Patch Antenna with Fractal Elements ...
doi:10.1016/s1877-0509(16)31043-2
fatcat:xtzcbtdptvglxjpmfrh3zomxeu
Subject index
1999
IEEE Transactions on Image Processing
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Computer vision; Document image processing; Image coding; Image color analysis; Image enhancement; Image motion analysis; Image recognition; Image reconstruction; Image registration; Image representation ...
Berizzi, F., + , T-IP May 99 679-687 Fractals extended fractal anal. for texture class. and segmentation. Kaplan, L.M., T-IP Nov 99 1572-1585 image compression with hybrid wavelet-fractal coder. ...
doi:10.1109/tip.1999.806633
fatcat:wl55kzilqzd33dlz6kmq3cljdy
A Robust Zonal Fractal Dimension Method for the Recognition of Handwritten Telugu Digits
2018
International Journal of Image Graphics and Signal Processing
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The proposed zonal fractal dimension (ZFD) method uses, Feed forward backward propagation neural network (FFBPNN) for classifying the digits with learning rate of 0.01 and sigmoid function as an activation ...
Recognition of handwritten digits is most challenging sub task of character recognition due to various shapes, sizes, large variation in writing styles from person to person and also similarity in shapes ...
Fractal theory overcome the limitations of Euclidean geometry with mathematical value and can be applied to characterize irregular or complex figures. ...
doi:10.5815/ijigsp.2018.09.06
fatcat:ggvhw5sgkvgenfbhnuurmt6igi
International Conference on Image Processing
1996
Proceedings of 3rd IEEE International Conference on Image Processing
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Thorez
17P9: Reconstruction and tomography I: multiscale and regularization
A new algorithm based on wavelet theory for diffraction tomography
Multiscale hypothesis testing with application to anomaly ...
Pissaloux Yves Sore1 17A8: Document processing A robust online restoration algorithm for fingerprint segmentation Written language recognition based on texture analysis. ...
doi:10.1109/icip.1996.560353
fatcat:le3ysy6wxrfr7nq56ueropy7tu
Extract and Classification of Iris Images by Fractal Dimension and Efficient Color of Iris
2011
International Journal of Computer Applications
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In this paper, fractal dimension of iris and effective range of color in RGB layers are used as first and second layers of classification in iris images respectively in order to increase the performance ...
In the last decade, identification by biometric features such as iris and fingerprint has been considered very much. ...
So, it is participating that combining more parameters can improve results and increase instance images domain.
FRACTAL THEORY The Fractal Theory was given by Benoit Mandelbrot in 1975 [12, 13] . ...
doi:10.5120/2250-2883
fatcat:knuwyq7o3vdfnog7ec7pbnms4q
Document image retrieval based on texture features and similarity fusion
2016
2016 International Conference on Image and Vision Computing New Zealand (IVCNZ)
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A local binary texture method, as a statistical approach, and a wavelet analysis technique, as a transform-based approach, are used for feature extraction and two feature vectors are obtained for every ...
In this paper we investigate the usefulness of two different texture features along with classification fusion for document image retrieval. ...
Thus, many researchers from the document image analysis (DIA) community have used various texture features in different applications, such as segmentation, layout analysis, and recognition of different ...
doi:10.1109/ivcnz.2016.7804437
dblp:conf/ivcnz/AlaeiABP16
fatcat:oeqvvjrklbb6vo5eypkmfofcfq
A comparative study of different texture features for document image retrieval
2019
Expert systems with applications
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Three document image datasets, MTDB, ITESOFT, and CLEF_IP with various content and page layouts are used to evaluate the twenty-six texture-based features on document image retrieval systems. ...
time analysis of texture features used for DIR Abstract: Due to the rapid increase of different digitised documents, there has been significant attention dedicated to document image retrieval over the ...
Fractal Dimension Fractal theory is based on geometry and dimension, and fractal dimension is an important characteristic of fractals, as it includes information about their geometric structure. ...
doi:10.1016/j.eswa.2018.12.007
fatcat:uawsnriyjzax7bsofe4xyhfu6i
Mandelbrot Market-Model and Momentum
2017
International Journal of Financial Research
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In his view, markets have long-term memory, were fractal and thus much wilder than classical theory suggests. ...
In this work, we will show that this effect can be modeled by fractal trends. The so-called Mandelbrot Market-Model shows that markets are wilder compared with classical models. ...
As do the authors, he believes that Mandelbrot's work deserves much more recognition in finance than in the past. We also want to thank Christian Jasperneite from M. M. ...
doi:10.5430/ijfr.v8n3p1
fatcat:jw574ljmvrdjljkfc6go5gruvu
Mandelbrot Market-Model and Momentum
2015
Social Science Research Network
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In his view, markets have long-term memory, were fractal and thus much wilder than classical theory suggests. ...
Particularly, we were able to show that, in accordance with Mandelbrot's scaling analysis, so defined trends in price data are scaled with respect to the granularity level of analysis of that particular ...
As do the authors, he believes that Mandelbrot's work deserves much more recognition in finance than in the past. We also want to thank Christian Jasperneite from M. M. ...
doi:10.2139/ssrn.2620112
fatcat:fabdayngbzb5jauzanqehjozqu
Non-linear Methods Predominant in Fetal Heart Rate Analysis: A Systematic Review
2021
Frontiers in Medicine
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We focused on non-linear analysis based on concepts of chaos, fractality, and complexity: entropies, compression, fractal analysis, and wavelets. ...
Some studies show that the combination of several linear and non-linear indices would be ideal for improving the analysis of the fetus's well-being. ...
We focused on non-linear analysis based on concepts of chaos, fractality, and complexity: entropies, compression, fractal analysis, and wavelets. ...
doi:10.3389/fmed.2021.661226
pmid:34917624
pmcid:PMC8669823
fatcat:4pinewrmmja7xjowut5cgwt4gi
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