Signal and Image Analysis Using Chaos Theory and Fractal Geometry
نویسنده
چکیده
Fractal geometry has proven to be a useful tool in quantifying the structure of a wide range of idealized and naturally occurring objects, from pure mathematics, through physics and chemistry, to biology and medicine. In the past few years fractal analysis techniques have gained increasing attention in signal and image processing, especially in medical sciences, e.g. in pathology, neuropsychiatry, cardiology. This article intends to describe fractal techniques and its applications. We concentrate on applications of chaos theory and fractal geometry in biosignal and biomedical image analysis.
منابع مشابه
Improving security of double random phase encoding with chaos theory using fractal images
This study presents a new method based on the combination of cryptography and information hiding methods. Firstly, the image is encoded by the Double Random Phase Encoding (DRPE) technique. The real and imaginary parts of the encoded image are subsequently embedded into an enlarged normalized host image. DRPE demands two random phase mask keys to decode the decrypted image at the destination. T...
متن کاملChaotic Analysis and Prediction of River Flows
Analyses and investigations on river flow behavior are major issues in design, operation and studies related to water engineering. Thus, recently the application of chaos theory and new techniques, such as chaos theory, has been considered in hydrology and water resources due to relevant innovations and ability. This paper compares the performance of chaos theory with Anfis model and discusses ...
متن کاملThe Application of fractal dimension and morphometric properties of drainage networks in the analysis of formation sensibility in arid areas (Case Study, Yazd-Ardakan Basin)
Introduction: Many natural phenomena have many variables that make it difficult to find relationships between them using common mathematical methods. This problem, along with the impossibility of measuring all elements of nature, has led to a major evolution in the way of understanding and explaining phenomena. In this way, one can use the fractal geometry with the theory that many natural phen...
متن کاملAnalysis and Diagnosis of Partial Discharge of Power Capacitors Using Extension Neural Network Algorithm and Synchronous Detection Based Chaos Theory
Power capacitors are important equipment of the power systems that are being operated in high voltage levels at high temperatures for long periods. As time goes on, their insulation fracture rate increases, and partial discharge is the most important cause of their fracture. Therefore, fast and accurate methods have great importance to accurately diagnosis the partial discharge. Conventional me...
متن کاملA Novel Image Encryption Model Based on Hybridization of Genetic Algorithm, Chaos Theory and Lattice Map
Encryption is an important issue in information security which is usually provided using a reversible mathematical model. Digital image as a most frequently used digital product needs special encryption algorithms. This paper presents a new encryption algorithm high security for digital gray images using genetic algorithm and Lattice Map function. At the first the initial value of Logistic Map ...
متن کامل