Markov Random Flights

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Markov Random Flights
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Author : Alexander D. Kolesnik
language : en
Publisher: CRC Press
Release Date : 2021-01-04
Markov Random Flights written by Alexander D. Kolesnik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-04 with Mathematics categories.
Markov Random Flights is the first systematic presentation of the theory of Markov random flights in the Euclidean spaces of different dimensions. Markov random flights is a stochastic dynamic system subject to the control of an external Poisson process and represented by the stochastic motion of a particle that moves at constant finite speed and changes its direction at random Poisson time instants. The initial (and each new) direction is taken at random according to some probability distribution on the unit sphere. Such stochastic motion is the basic model for describing many real finite-velocity transport phenomena arising in statistical physics, chemistry, biology, environmental science and financial markets. Markov random flights acts as an effective tool for modelling the slow and super-slow diffusion processes arising in various fields of science and technology. Features: Provides the first systematic presentation of the theory of Markov random flights in the Euclidean spaces of different dimensions. Suitable for graduate students and specialists and professionals in applied areas. Introduces a new unified approach based on the powerful methods of mathematical analysis, such as integral transforms, generalized, hypergeometric and special functions. Author Alexander D. Kolesnik is a professor, Head of Laboratory (2015–2019) and principal researcher (since 2020) at the Institute of Mathematics and Computer Science, Kishinev (Chișinău), Moldova. He graduated from Moldova State University in 1980 and earned his PhD from the Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev in 1991. He also earned a PhD Habilitation in mathematics and physics with specialization in stochastic processes, probability and statistics conferred by the Specialized Council at the Institute of Mathematics of the National Academy of Sciences of Ukraine and confirmed by the Supreme Attestation Commission of Ukraine in 2010. His research interests include: probability and statistics, stochastic processes, random evolutions, stochastic dynamic systems, random flights, diffusion processes, transport processes, random walks, stochastic processes in random environments, partial differential equations in stochastic models, statistical physics and wave processes. Dr. Kolesnik has published more than 70 scientific publications, mostly in high-standard international journals and a monograph. He has also acted as external referee for many outstanding international journals in mathematics and physics, being awarded by the "Certificate of Outstanding Contribution in Reviewing" from the journal "Stochastic Processes and their Applications." He was the visiting professor and scholarship holder at universities in Italy and Germany and member of the Board of Global Advisors of the International Federation of Nonlinear Analysts (IFNA), United States of America.
Random Motions In Markov And Semi Markov Random Environments 1
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Author : Anatoliy Pogorui
language : en
Publisher: John Wiley & Sons
Release Date : 2021-01-12
Random Motions In Markov And Semi Markov Random Environments 1 written by Anatoliy Pogorui and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-12 with Mathematics categories.
This book is the first of two volumes on random motions in Markov and semi-Markov random environments. This first volume focuses on homogenous random motions. This volume consists of two parts, the first describing the basic concepts and methods that have been developed for random evolutions. These methods are the foundational tools used in both volumes, and this description includes many results in potential operators. Some techniques to find closed-form expressions in relevant applications are also presented. The second part deals with asymptotic results and presents a variety of applications, including random motion with different types of boundaries, the reliability of storage systems and solutions of partial differential equations with constant coefficients, using commutative algebra techniques. It also presents an alternative formulation to the Black-Scholes formula in finance, fading evolutions and telegraph processes, including jump telegraph processes and the estimation of the number of level crossings for telegraph processes.
Telegraph Processes And Option Pricing
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Author : Nikita Ratanov
language : en
Publisher: Springer Nature
Release Date : 2023-01-04
Telegraph Processes And Option Pricing written by Nikita Ratanov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-04 with Mathematics categories.
This book provides an extensive, systematic overview of the modern theory of telegraph processes and their multidimensional counterparts, together with numerous fruitful applications in financial modelling. Focusing on stochastic processes of bounded variation instead of classical diffusion, or more generally, Lévy processes, has two obvious benefits. First, the mathematical technique is much simpler, which helps to concentrate on the key problems of stochastic analysis and applications, including financial market modelling. Second, this approach overcomes some shortcomings of the (parabolic) nature of classical diffusions that contradict physical intuition, such as infinite propagation velocity and infinite total variation of paths. In this second edition, some sections of the previous text are included without any changes, while most others have been expanded and significantly revised. These are supplemented by predominantly new results concerning piecewise linear processes with arbitrary sequences of velocities, jump amplitudes, and switching intensities. The chapter on functionals of the telegraph process has been significantly expanded by adding sections on exponential functionals, telegraph meanders and running extrema, the times of the first passages of telegraph processes with alternating random jumps, and distribution of the Euclidean distance between two independent telegraph processes. A new chapter on the multidimensional counterparts of the telegraph processes is also included. The book is intended for graduate students in mathematics, probability, statistics and quantitative finance, and for researchers working at academic institutions, in industry and engineering. It can also be used by university lecturers and professionals in various applied areas.
Time Of Flight Cameras And Microsoft Kinecttm
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Author : Carlo Dal Mutto
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-27
Time Of Flight Cameras And Microsoft Kinecttm written by Carlo Dal Mutto and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-27 with Technology & Engineering categories.
Time-of-Flight Cameras and Microsoft KinectTM closely examines the technology and general characteristics of time-of-flight range cameras, and outlines the best methods for maximizing the data captured by these devices. This book also analyzes the calibration issues that some end-users may face when using these type of cameras for research, and suggests methods for improving the real-time 3D reconstruction of dynamic and static scenes. Time-of-Flight Cameras and Microsoft KinectTM is intended for researchers and advanced-level students as a reference guide for time-of-flight cameras. Practitioners working in a related field will also find the book valuable.
Time Of Flight And Structured Light Depth Cameras
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Author : Pietro Zanuttigh
language : en
Publisher: Springer
Release Date : 2016-05-24
Time Of Flight And Structured Light Depth Cameras written by Pietro Zanuttigh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-24 with Computers categories.
This book provides a comprehensive overview of the key technologies and applications related to new cameras that have brought 3D data acquisition to the mass market. It covers both the theoretical principles behind the acquisition devices and the practical implementation aspects of the computer vision algorithms needed for the various applications. Real data examples are used in order to show the performances of the various algorithms. The performance and limitations of the depth camera technology are explored, along with an extensive review of the most effective methods for addressing challenges in common applications. Applications covered in specific detail include scene segmentation, 3D scene reconstruction, human pose estimation and tracking and gesture recognition. This book offers students, practitioners and researchers the tools necessary to explore the potential uses of depth data in light of the expanding number of devices available for sale. It explores the impact of these devices on the rapidly growing field of depth-based computer vision.
Image Analysis
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Author : Arnt-Borre Salberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-14
Image Analysis written by Arnt-Borre Salberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-14 with Computers categories.
This volume contains the papers presented at the Scandinavian Conference on Image Analysis, SCIA 2009, which was held at the Radisson SAS Scandinavian Hotel, Oslo, Norway, June 15–18. SCIA 2009 was the 16th in the biennial series of conferences, which has been organized in turn by the Scandinavian countries Sweden, Finland, D- mark and Norway since 1980. The event itself has always attracted participants and author contributions from outside the Scandinavian countries, making it an international conference. Theconferenceincludedafulldayoftutorialsand?vekeynotetalksprovided by world-renowned experts. The program covered high-quality scienti?c cont- butions within image analysis, human and action analysis, pattern and object recognition,colorimagingandquality,medicalandbiomedicalapplications,face andheadanalysis,computer vision,andmultispectralcoloranalysis. The papers werecarefully selected based on at least two reviews. Among 154 submissions 79 wereaccepted,leadingtoanacceptancerateof51%. SinceSCIAwasarrangedas a single-track event, 30 papers were presented in the oral sessions and 49 papers were presented in the poster sessions. A separate session on multispectral color science was organized in cooperation with the 11th Symposium of Multispectral Color Science (MCS 2009). Since 2009 was proclaimed the “International Year of Astronomy” by the United Nations General Assembly, the conference also contained a session on the topic “Imageand PatternAnalysis in Astronomyand Astrophysics. ” SCIA has a reputation of having a friendly environment, in addition to hi- quality scienti?c contributions. We focused on maintaining this reputation, by designing a technical and social program that we hope the participants found interesting and inspiring for new research ideas and network extensions. We thank the authors for submitting their valuable work to SCIA.
Dynamic 3d Imaging
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Author : Andreas Kolb
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-08-28
Dynamic 3d Imaging written by Andreas Kolb and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-28 with Computers categories.
This book constitutes the refereed proceedings of the Dynamic 3D Imaging Workshop, Dyn3D 2009, held in Jena, Germany as an associated event of DAGM 2009, the main international conference of the "Deutsche Arbeitsgemeinschaft für Mustererkennung". The 13 revised full papers presented were carefully reviewed and selected for inclusion in the book. The papers cover a range of topics of current interest: fundamentals of ToF- sensors, algorithms and data fusion and applications of dynamic 3D scene analysis. This book is aimed at researchers interested in novel approaches in the field of real-time range imaging.
Time Of Flight Cameras
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Author : Miles Hansard
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-11-06
Time Of Flight Cameras written by Miles Hansard and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-06 with Computers categories.
Time-of-flight (TOF) cameras provide a depth value at each pixel, from which the 3D structure of the scene can be estimated. This new type of active sensor makes it possible to go beyond traditional 2D image processing, directly to depth-based and 3D scene processing. Many computer vision and graphics applications can benefit from TOF data, including 3D reconstruction, activity and gesture recognition, motion capture and face detection. It is already possible to use multiple TOF cameras, in order to increase the scene coverage, and to combine the depth data with images from several colour cameras. Mixed TOF and colour systems can be used for computational photography, including full 3D scene modelling, as well as for illumination and depth-of-field manipulations. This work is a technical introduction to TOF sensors, from architectural and design issues, to selected image processing and computer vision methods.
Dynamic 3d Scene Analysis And Modeling With A Time Of Flight Camera
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Author : Ingo Schiller
language : en
Publisher: BoD – Books on Demand
Release Date : 2011
Dynamic 3d Scene Analysis And Modeling With A Time Of Flight Camera written by Ingo Schiller and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Computers categories.
Viele Anwendungen des Maschinellen Sehens benötigen die automatische Analyse und Rekonstruktion von statischen und dynamischen Szenen. Deshalb ist die automatische Analyse von dreidimensionalen Szenen und Objekten ein Bereich der intensiv erforscht wird. Die meisten Ansätze konzentrieren sich auf die Rekonstruktion statischer Szenen, da die Rekonstruktion nicht-statischer Geometrien viel herausfordernder ist und voraussetzt, dass dreidimensionale Szeneninformation mit hoher zeitlicher Auflösung verfügbar ist. Statische Szenenanalyse wird beispielsweise in der autonomen Navigation, für die Überwachung und für die Erhaltung des Kulturerbes eingesetzt. Andererseits eröffnet die Analyse und Rekonstruktion nicht-statischer Geometrie viel mehr Möglichkeiten, nicht nur für die bereits erwähnten Anwendungen. In der Produktion von Medieninhalten für Film und Fernsehen kann die Analyse und die Aufnahme und Wiedergabe von vollständig dreidimensionalen Inhalten verwendet werden um neue Ansichten realer Szenen zu erzeugen oder echte Schauspieler durch animierte virtuelle Charaktere zu ersetzen. Die wichtigste Voraussetzung für die Analyse von dynamischen Inhalten ist die Verfügbarkeit von zuverlässigen dreidimensionalen Szeneninformationen. Um die Entfernung von Punkten in der Szene zu bestimmen wurden meistens Stereo-Verfahren eingesetzt, aber diese Verfahren benötigen viel Rechenzeit und erreichen in Echtzeit nicht die benötigte Qualität. In den letzten Jahren haben die so genannten Laufzeitkameras das Stadium der Prototypen verlassen und sind jetzt in der Lage dichte Tiefeninformationen in vernünftiger Qualität zu einem vernünftigen Preis zu liefern. Diese Arbeit untersucht die Eignung dieser Kameras für die Analyse nicht-statischer dreidimensionaler Szenen. Bevor eine Laufzeitkamera für die Analyse eingesetzt werden kann muss sie intern und extern kalibriert werden. Darüber hinaus leiden Laufzeitkameras an systematischen Fehlern bei der Entfernungsmessung, bedingt durch ihr
Deep Learning For Unmanned Systems
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Author : Anis Koubaa
language : en
Publisher: Springer Nature
Release Date : 2021-10-01
Deep Learning For Unmanned Systems written by Anis Koubaa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-01 with Technology & Engineering categories.
This book is used at the graduate or advanced undergraduate level and many others. Manned and unmanned ground, aerial and marine vehicles enable many promising and revolutionary civilian and military applications that will change our life in the near future. These applications include, but are not limited to, surveillance, search and rescue, environment monitoring, infrastructure monitoring, self-driving cars, contactless last-mile delivery vehicles, autonomous ships, precision agriculture and transmission line inspection to name just a few. These vehicles will benefit from advances of deep learning as a subfield of machine learning able to endow these vehicles with different capability such as perception, situation awareness, planning and intelligent control. Deep learning models also have the ability to generate actionable insights into the complex structures of large data sets. In recent years, deep learning research has received an increasing amount of attention from researchers in academia, government laboratories and industry. These research activities have borne some fruit in tackling some of the challenging problems of manned and unmanned ground, aerial and marine vehicles that are still open. Moreover, deep learning methods have been recently actively developed in other areas of machine learning, including reinforcement training and transfer/meta-learning, whereas standard, deep learning methods such as recent neural network (RNN) and coevolutionary neural networks (CNN). The book is primarily meant for researchers from academia and industry, who are working on in the research areas such as engineering, control engineering, robotics, mechatronics, biomedical engineering, mechanical engineering and computer science. The book chapters deal with the recent research problems in the areas of reinforcement learning-based control of UAVs and deep learning for unmanned aerial systems (UAS) The book chapters present various techniques of deep learning for robotic applications. The book chapters contain a good literature survey with a long list of references. The book chapters are well written with a good exposition of the research problem, methodology, block diagrams and mathematical techniques. The book chapters are lucidly illustrated with numerical examples and simulations. The book chapters discuss details of applications and future research areas.