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In order to measure and quantify the complex behavior of real-world systems, either novel mathematical approaches or modifications of classical ones are required to precisely predict, monitor, and control complicated chaotic and stochastic processes. Though the term of entropy comes from Greek and emphasizes its analogy to energy, today, it has wandered to different branches of pure and applied sciences and is understood in a rather rough way, with emphasis placed on the transition from regular to chaotic states, stochastic and deterministic disorder, and uniform and non-uniform distribution or decay of diversity. This collection of papers addresses the notion of entropy in a very broad sense. The presented manuscripts follow from different branches of mathematical/physical sciences, natural/social sciences, and engineering-oriented sciences with emphasis placed on the complexity of dynamical systems. Topics like timing chaos and spatiotemporal chaos, bifurcation, synchronization and anti-synchronization, stability, lumped mass and continuous mechanical systems modeling, novel nonlinear phenomena, and resonances are discussed.

n/a --- nonautonomous (autonomous) dynamical system --- stabilization --- multi-time scale fractional stochastic differential equations --- conditional Tsallis entropy --- wavelet transform --- hyperchaotic system --- Chua’s system --- permutation entropy --- neural network method --- Information transfer --- self-synchronous stream cipher --- colored noise --- Benettin method --- method of synchronization --- topological entropy --- geometric nonlinearity --- Kantz method --- dynamical system --- Gaussian white noise --- phase-locked loop --- wavelets --- Rosenstein method --- m-dimensional manifold --- deterministic chaos --- disturbation --- Mittag–Leffler function --- approximate entropy --- bounded chaos --- Adomian decomposition --- fractional calculus --- product MV-algebra --- Tsallis entropy --- descriptor fractional linear systems --- analytical solution --- fractional Brownian motion --- true chaos --- discrete mapping --- partition --- unbounded chaos --- fractional stochastic partial differential equation --- noise induced transitions --- random number generator --- Fourier spectrum --- hidden attractors --- (asymptotical) focal entropy point --- regular pencils --- continuous flow --- Bernoulli–Euler beam --- image encryption --- Gauss wavelets --- Lyapunov exponents --- discrete fractional calculus --- Lorenz system --- Schur factorization --- discrete chaos --- Wolf method

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Image analysis is a fundamental task for any application where extracting information from images is required. The analysis requires highly sophisticated numerical and analytical methods, particularly for those applications in medicine, security, and other fields where the results of the processing consist of data of vital importance. This fact is evident from all the articles composing the Special Issue "Entropy in Image Analysis II", in which the authors used widely tested methods to verify their results. In the process of reading the present volume, the reader will appreciate the richness of their methods and applications, in particular for medical imaging and image security, and a remarkable cross-fertilization among the proposed research areas.

History of engineering & technology --- image binarization --- optical character recognition --- local entropy filter --- thresholding --- image preprocessing --- image entropy --- image encryption --- medical color images --- RGB --- chaotic system --- crowd behavior analysis --- salient crowd motion detection --- repulsive force --- direction entropy --- node strength --- Pompe disease --- children --- quantitative muscle ultrasound --- texture-feature parametric imaging --- compound chaotic system --- S-box --- image information entropy --- image chaotic encryption --- cryptography --- Latin cube --- bit cube --- chosen plaintext attack --- atmosphere background --- engine flame --- infrared radiation --- detectability --- image quality evaluation --- image retrieval --- pooling method --- convolutional neural network --- feature distribution entropy --- lossless compression --- pattern classification --- machine learning --- malaria infection --- entropy --- Golomb–Rice codes --- image processing --- image segmentation --- weld segmentation --- weld evaluation --- convolution neural network --- Python --- Keras --- RSNNS --- MXNet --- brain-computer interface (BCI) --- electroencephalography (EEG) --- motor imagery (MI) --- continuous wavelet transform (CWT) --- convolutional neural network (CNN) --- hyperchaotic system --- filtering --- DNA computing --- diffusion --- deep neural network --- data expansion --- blind image quality assessment --- saliency and distortion --- human visual system --- declining quality --- data hiding --- AMBTC --- steganography --- stego image --- dictionary-based coding --- pixel value adjusting --- neuroaesthetics --- symmetry --- balance --- complexity --- chiaroscuro --- normalized entropy --- renaissance --- portrait paintings --- art history --- art statistics --- chaotic systems --- DNA coding --- security analysis --- magnetic resonance images --- non-maximum suppression --- object detection --- key-point detection --- IoU --- feature fusion --- quasi-resonant Rossby/drift wave triads --- Mordell elliptic curve --- pseudo-random numbers --- substitution box --- nuclear spin generator --- medical image --- peak signal-to-noise ratio --- key space calculation --- Duchenne muscular dystrophy --- ultrasound --- backscattered signals --- medical imaging --- neural engineering --- computer vision --- crowd motion detection --- security

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Image analysis is a fundamental task for any application where extracting information from images is required. The analysis requires highly sophisticated numerical and analytical methods, particularly for those applications in medicine, security, and other fields where the results of the processing consist of data of vital importance. This fact is evident from all the articles composing the Special Issue "Entropy in Image Analysis II", in which the authors used widely tested methods to verify their results. In the process of reading the present volume, the reader will appreciate the richness of their methods and applications, in particular for medical imaging and image security, and a remarkable cross-fertilization among the proposed research areas.

image binarization --- optical character recognition --- local entropy filter --- thresholding --- image preprocessing --- image entropy --- image encryption --- medical color images --- RGB --- chaotic system --- crowd behavior analysis --- salient crowd motion detection --- repulsive force --- direction entropy --- node strength --- Pompe disease --- children --- quantitative muscle ultrasound --- texture-feature parametric imaging --- compound chaotic system --- S-box --- image information entropy --- image chaotic encryption --- cryptography --- Latin cube --- bit cube --- chosen plaintext attack --- atmosphere background --- engine flame --- infrared radiation --- detectability --- image quality evaluation --- image retrieval --- pooling method --- convolutional neural network --- feature distribution entropy --- lossless compression --- pattern classification --- machine learning --- malaria infection --- entropy --- Golomb–Rice codes --- image processing --- image segmentation --- weld segmentation --- weld evaluation --- convolution neural network --- Python --- Keras --- RSNNS --- MXNet --- brain-computer interface (BCI) --- electroencephalography (EEG) --- motor imagery (MI) --- continuous wavelet transform (CWT) --- convolutional neural network (CNN) --- hyperchaotic system --- filtering --- DNA computing --- diffusion --- deep neural network --- data expansion --- blind image quality assessment --- saliency and distortion --- human visual system --- declining quality --- data hiding --- AMBTC --- steganography --- stego image --- dictionary-based coding --- pixel value adjusting --- neuroaesthetics --- symmetry --- balance --- complexity --- chiaroscuro --- normalized entropy --- renaissance --- portrait paintings --- art history --- art statistics --- chaotic systems --- DNA coding --- security analysis --- magnetic resonance images --- non-maximum suppression --- object detection --- key-point detection --- IoU --- feature fusion --- quasi-resonant Rossby/drift wave triads --- Mordell elliptic curve --- pseudo-random numbers --- substitution box --- nuclear spin generator --- medical image --- peak signal-to-noise ratio --- key space calculation --- Duchenne muscular dystrophy --- ultrasound --- backscattered signals --- medical imaging --- neural engineering --- computer vision --- crowd motion detection --- security