The Geometry Of Filtering

Download The Geometry Of Filtering full books in PDF, epub, and Kindle. Read online The Geometry Of Filtering ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

The Geometry of Filtering

Author : K. David Elworthy
Publisher : Springer Science & Business Media
ISBN 13 : 303460176X
Total Pages : 179 pages
Book Rating : 4.0/5 (346 download)

DOWNLOAD NOW!

Book Synopsis The Geometry of Filtering by : K. David Elworthy

Download or read book The Geometry of Filtering written by K. David Elworthy and published by Springer Science & Business Media. This book was released on 2010-11-27 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filtering is the science of nding the law of a process given a partial observation of it. The main objects we study here are di usion processes. These are naturally associated with second-order linear di erential operators which are semi-elliptic and so introduce a possibly degenerate Riemannian structure on the state space. In fact, much of what we discuss is simply about two such operators intertwined by a smooth map, the \projection from the state space to the observations space", and does not involve any stochastic analysis. From the point of view of stochastic processes, our purpose is to present and to study the underlying geometric structure which allows us to perform the ltering in a Markovian framework with the resulting conditional law being that of a Markov process which is time inhomogeneous in general. This geometry is determined by the symbol of the operator on the state space which projects to a symbol on the observation space. The projectible symbol induces a (possibly non-linear and partially de ned) connection which lifts the observation process to the state space and gives a decomposition of the operator on the state space and of the noise. As is standard we can recover the classical ltering theory in which the observations are not usually Markovian by application of the Girsanov- Maruyama-Cameron-Martin Theorem. This structure we have is examined in relation to a number of geometrical topics.

The Geometry of Uncertainty

Author : Fabio Cuzzolin
Publisher : Springer Nature
ISBN 13 : 3030631532
Total Pages : 850 pages
Book Rating : 4.0/5 (36 download)

DOWNLOAD NOW!

Book Synopsis The Geometry of Uncertainty by : Fabio Cuzzolin

Download or read book The Geometry of Uncertainty written by Fabio Cuzzolin and published by Springer Nature. This book was released on 2020-12-17 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of this book is to introduce to the widest possible audience an original view of belief calculus and uncertainty theory. In this geometric approach to uncertainty, uncertainty measures can be seen as points of a suitably complex geometric space, and manipulated in that space, for example, combined or conditioned. In the chapters in Part I, Theories of Uncertainty, the author offers an extensive recapitulation of the state of the art in the mathematics of uncertainty. This part of the book contains the most comprehensive summary to date of the whole of belief theory, with Chap. 4 outlining for the first time, and in a logical order, all the steps of the reasoning chain associated with modelling uncertainty using belief functions, in an attempt to provide a self-contained manual for the working scientist. In addition, the book proposes in Chap. 5 what is possibly the most detailed compendium available of all theories of uncertainty. Part II, The Geometry of Uncertainty, is the core of this book, as it introduces the author’s own geometric approach to uncertainty theory, starting with the geometry of belief functions: Chap. 7 studies the geometry of the space of belief functions, or belief space, both in terms of a simplex and in terms of its recursive bundle structure; Chap. 8 extends the analysis to Dempster’s rule of combination, introducing the notion of a conditional subspace and outlining a simple geometric construction for Dempster’s sum; Chap. 9 delves into the combinatorial properties of plausibility and commonality functions, as equivalent representations of the evidence carried by a belief function; then Chap. 10 starts extending the applicability of the geometric approach to other uncertainty measures, focusing in particular on possibility measures (consonant belief functions) and the related notion of a consistent belief function. The chapters in Part III, Geometric Interplays, are concerned with the interplay of uncertainty measures of different kinds, and the geometry of their relationship, with a particular focus on the approximation problem. Part IV, Geometric Reasoning, examines the application of the geometric approach to the various elements of the reasoning chain illustrated in Chap. 4, in particular conditioning and decision making. Part V concludes the book by outlining a future, complete statistical theory of random sets, future extensions of the geometric approach, and identifying high-impact applications to climate change, machine learning and artificial intelligence. The book is suitable for researchers in artificial intelligence, statistics, and applied science engaged with theories of uncertainty. The book is supported with the most comprehensive bibliography on belief and uncertainty theory.

Multiresolution Signal and Geometry Processing: Filter Banks, Wavelets, and Subdivision (Version: 2013-09-26)

Author : Michael D. Adams
Publisher : Michael Adams
ISBN 13 : 1550585088
Total Pages : 580 pages
Book Rating : 4.5/5 (55 download)

DOWNLOAD NOW!

Book Synopsis Multiresolution Signal and Geometry Processing: Filter Banks, Wavelets, and Subdivision (Version: 2013-09-26) by : Michael D. Adams

Download or read book Multiresolution Signal and Geometry Processing: Filter Banks, Wavelets, and Subdivision (Version: 2013-09-26) written by Michael D. Adams and published by Michael Adams. This book was released on 2013-09-26 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended for use in the teaching of graduate and senior undergraduate courses on multiresolution signal and geometry processing in the engineering and related disciplines. It has been used for several years for teaching purposes in the Department of Electrical and Computer Engineering at the University of Victoria and has been well received by students. This book provides a comprehensive introduction to multiresolution signal and geometry processing, with a focus on both theory and applications. The book has two main components, corresponding to multiresolution processing in the contexts of: 1) signal processing and 2) geometry processing. The signal-processing component of the book studies one-dimensional and multi-dimensional multirate systems, considering multirate structures such as sampling-rate converters, filter banks, and transmultiplexers. A particularly strong emphasis is placed on filter banks. Univariate and multivariate wavelet systems are examined, with the biorthogonal and orthonormal cases both being considered. The relationship between filter banks and wavelet systems is established. Several applications of filter banks and wavelets in signal processing are covered, including signal coding, image compression, and noise reduction. For readers interested in image compression, a detailed overview of the JPEG-2000 standard is also provided. Some other applications of multirate systems are considered, such as transmultiplexers for communication systems (e.g., multicarrier modulation). The geometry-processing component of the book studies subdivision surfaces and subdivision wavelets. Some mathematical background relating to geometry processing is provided, including topics such as homogeneous coordinate transformations, manifolds, surface representations, and polygon meshes. Several subdivision schemes are examined in detail, including the Loop, Kobbelt sqrt(3), and Catmull-Clark methods. The application of subdivision surfaces in computer graphics is considered. A detailed introduction to functional analysis is provided, for those who would like a deeper understanding of the mathematics underlying wavelets and filter banks. For those who are interested in software applications of the material covered in the book, appendices are included that introduce the CGAL and OpenGL libraries. Also, an appendix on the SPL library (which was developed for use with this book) is included. Throughout the book, many worked-through examples are provided. Problem sets are also provided for each major topic covered.

On the Geometry of Diffusion Operators and Stochastic Flows

Author : K.D. Elworthy
Publisher : Springer
ISBN 13 : 3540470220
Total Pages : 121 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!

Book Synopsis On the Geometry of Diffusion Operators and Stochastic Flows by : K.D. Elworthy

Download or read book On the Geometry of Diffusion Operators and Stochastic Flows written by K.D. Elworthy and published by Springer. This book was released on 2007-01-05 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic differential equations, and Hoermander form representations of diffusion operators, can determine a linear connection associated to the underlying (sub)-Riemannian structure. This is systematically described, together with its invariants, and then exploited to discuss qualitative properties of stochastic flows, and analysis on path spaces of compact manifolds with diffusion measures. This should be useful to stochastic analysts, especially those with interests in stochastic flows, infinite dimensional analysis, or geometric analysis, and also to researchers in sub-Riemannian geometry. A basic background in differential geometry is assumed, but the construction of the connections is very direct and itself gives an intuitive and concrete introduction. Knowledge of stochastic analysis is also assumed for later chapters.

Implicit Filtering

Author : C. T. Kelley
Publisher : SIAM
ISBN 13 : 1611971896
Total Pages : 171 pages
Book Rating : 4.6/5 (119 download)

DOWNLOAD NOW!

Book Synopsis Implicit Filtering by : C. T. Kelley

Download or read book Implicit Filtering written by C. T. Kelley and published by SIAM. This book was released on 2011-09-29 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: A description of the implicit filtering algorithm, its convergence theory and a new MATLAB® implementation.

Martingales in Filtering and Geometry

Author : Robert Otto Bauer
Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.:/5 (389 download)

DOWNLOAD NOW!

Book Synopsis Martingales in Filtering and Geometry by : Robert Otto Bauer

Download or read book Martingales in Filtering and Geometry written by Robert Otto Bauer and published by . This book was released on 1997 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bucketing and Filtering in Computational Geometry

Author : Jyrki Katajainen
Publisher :
ISBN 13 : 9789516429741
Total Pages : 120 pages
Book Rating : 4.4/5 (297 download)

DOWNLOAD NOW!

Book Synopsis Bucketing and Filtering in Computational Geometry by : Jyrki Katajainen

Download or read book Bucketing and Filtering in Computational Geometry written by Jyrki Katajainen and published by . This book was released on 1987 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Water, Wastewater, and Sludge Filtration

Author : C. Visvanathan
Publisher : CRC Press
ISBN 13 : 1000098915
Total Pages : 296 pages
Book Rating : 4.0/5 ( download)

DOWNLOAD NOW!

Book Synopsis Water, Wastewater, and Sludge Filtration by : C. Visvanathan

Download or read book Water, Wastewater, and Sludge Filtration written by C. Visvanathan and published by CRC Press. This book was released on 2020-07-24 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and up-to-date account of filtration in solid-liquid separation processes, with a sharp focus on the influence of pro-cess variables on performance and specific applications is pre-sented in this volume. With contribu-tions from researchers with significant industrial experi-ence, as well as by senior academics, this publication fea-tures a deep bed filtration overview with informa-tion on mathematical modeling and application in wastewater treat-ment. Pre-treatment filtration techniques such as cartridge filters, pre-coat filters and micro screening are included. Membrane filtration processes to remove dis-solved and suspended solids for the recovery of valuable ma-terials and the provision of high quality water are covered. Sludge de-watering methods such as centrifuga-tion, and vacuum and pressure filtration are described. Application status data, tables, figures and diagrams are also included. This volume is of special interest to practicing engineers and technolo-gists dealing with treatment problems requiring filtration solu-tions and to graduate students in environmental engineering.

Stochastic Analysis 2010

Author : Dan Crisan
Publisher : Springer Science & Business Media
ISBN 13 : 3642153585
Total Pages : 303 pages
Book Rating : 4.6/5 (421 download)

DOWNLOAD NOW!

Book Synopsis Stochastic Analysis 2010 by : Dan Crisan

Download or read book Stochastic Analysis 2010 written by Dan Crisan and published by Springer Science & Business Media. This book was released on 2010-11-26 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Analysis aims to provide mathematical tools to describe and model high dimensional random systems. Such tools arise in the study of Stochastic Differential Equations and Stochastic Partial Differential Equations, Infinite Dimensional Stochastic Geometry, Random Media and Interacting Particle Systems, Super-processes, Stochastic Filtering, Mathematical Finance, etc. Stochastic Analysis has emerged as a core area of late 20th century Mathematics and is currently undergoing a rapid scientific development. The special volume “Stochastic Analysis 2010” provides a sample of the current research in the different branches of the subject. It includes the collected works of the participants at the Stochastic Analysis section of the 7th ISAAC Congress organized at Imperial College London in July 2009.

Computational Information Geometry

Author : Frank Nielsen
Publisher : Springer
ISBN 13 : 3319470582
Total Pages : 312 pages
Book Rating : 4.3/5 (194 download)

DOWNLOAD NOW!

Book Synopsis Computational Information Geometry by : Frank Nielsen

Download or read book Computational Information Geometry written by Frank Nielsen and published by Springer. This book was released on 2016-11-24 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the application and development of information geometric methods in the analysis, classification and retrieval of images and signals. It provides introductory chapters to help those new to information geometry and applies the theory to several applications. This area has developed rapidly over recent years, propelled by the major theoretical developments in information geometry, efficient data and image acquisition and the desire to process and interpret large databases of digital information. The book addresses both the transfer of methodology to practitioners involved in database analysis and in its efficient computational implementation.

Advances in Spatial and Temporal Databases

Author : Christian S. Jensen
Publisher : Springer Science & Business Media
ISBN 13 : 354042301X
Total Pages : 532 pages
Book Rating : 4.5/5 (44 download)

DOWNLOAD NOW!

Book Synopsis Advances in Spatial and Temporal Databases by : Christian S. Jensen

Download or read book Advances in Spatial and Temporal Databases written by Christian S. Jensen and published by Springer Science & Business Media. This book was released on 2001-07-02 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Spatial and Temporal Databases, SSTD 2001, held in Redondo Beach, CA, USA, in July 2001. The 25 revised full papers and two industrial papers presented were carefully reviewed and selected from a total of 70 submissions. The book offers topical sections on modeling and querying, moving-object query processing, query processing: architectures and cost estimation, processing advanced queries, formal aspects, data representation, industrial session, data warehousing and mining, and indexing.

Solid-Liquid Filtration

Author : Trevor Sparks
Publisher : Elsevier
ISBN 13 : 0080971156
Total Pages : 225 pages
Book Rating : 4.0/5 (89 download)

DOWNLOAD NOW!

Book Synopsis Solid-Liquid Filtration by : Trevor Sparks

Download or read book Solid-Liquid Filtration written by Trevor Sparks and published by Elsevier. This book was released on 2011-11-16 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring the success factors that combine to deliver this performance. Finding ways to get more from your processes, with examples, case studies and scenarios. Solid-Liquid Filtration is a crucial step in the production of virtually everything in our daily lives, from metals, plastics and pigments through to foods (and crockery) and medicines. Using a practical and applied approach, Trevor Sparks has created a guide that chemical and process engineers can use to help them: Understand how filtration processes affect production processes, production costs, product quality, environmental impact and productivity Optimise process development and project execution, with real examples and supporting software forms and tools Develop reporting tools to monitor processes, and find ways to get more from processes This book’s focus is helping process engineers understand their filtration processes better. Its accessible approach and style make it a valuable resource for anyone working in this sector, regardless of prior knowledge or experience. Several examples and scenarios are provided throughout the book in order to help engineers understand the importance of filtration and the effect that it has on the bottom-line. Covers methods for optimizing processes, include process variable, plus laboratory testing, modeling and process troubleshooting Accompanied by optimization software that enables readers to model and plan optimal filtration processes and set ups for their particular circumstance.

3D Mesh Geometry Filtering Algorithms for Progressive Transmission Schemes

Author : International Business Machines Corporation. Research Division
Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (247 download)

DOWNLOAD NOW!

Book Synopsis 3D Mesh Geometry Filtering Algorithms for Progressive Transmission Schemes by : International Business Machines Corporation. Research Division

Download or read book 3D Mesh Geometry Filtering Algorithms for Progressive Transmission Schemes written by International Business Machines Corporation. Research Division and published by . This book was released on 2000 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "A number of static and multi-resolution methods have been introduced in recent years to compress 3D meshes. In most of these methods the connectivity information is encoded without loss of information, but user-controllable loss of information is tolerated while compressing the geometry and property data. All these methods are very efficient at compressing the connectivity information, in some cases to a fraction of a bit per vertex, but the geometry and property data typically occupies much more room in the compressed bitstream than the compressed connectivity data. In this paper we investigate the use of polynomial linear filtering as studied in [Taubin95, TaZhGo96], as a global predictor for the geometry data of a 3D mesh in multi-resolution 3D geometry compression schemes. Rather than introducing a new method to encode the multi-resolution connectivity information, we choose one of the efficient existing schemes depending on the structure of the multi-resolution data. After encoding the geometry of the lowest level of detail with an existing scheme, the geometry of each subsequent level of detail is predicted by applying a polynomial filter to the geometry of its predecesor [sic] lifted to the connectivity of the current level. The polynomial filter is designed to minimize the l2-norm of the approximation error but other norms can be used as well. Three properties of the filtered mesh are studied next: accuracy, robustness and compression ratio. The Zeroth Order Filter (unit polynomial) is found to have the best compression ratio. But higher order filters achieve better accuracy and robustness properties at the price of a slight decrease of the compression ratio."

The Geometry of Homological Triangles

Author : Florentin Smarandache, Ion Patrascu
Publisher : Infinite Study
ISBN 13 : 1934849758
Total Pages : 246 pages
Book Rating : 4.9/5 (348 download)

DOWNLOAD NOW!

Book Synopsis The Geometry of Homological Triangles by : Florentin Smarandache, Ion Patrascu

Download or read book The Geometry of Homological Triangles written by Florentin Smarandache, Ion Patrascu and published by Infinite Study. This book was released on 2011 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Image Sensors and Signal Processing for Digital Still Cameras

Author : Junichi Nakamura
Publisher : CRC Press
ISBN 13 : 1351836978
Total Pages : 416 pages
Book Rating : 4.3/5 (518 download)

DOWNLOAD NOW!

Book Synopsis Image Sensors and Signal Processing for Digital Still Cameras by : Junichi Nakamura

Download or read book Image Sensors and Signal Processing for Digital Still Cameras written by Junichi Nakamura and published by CRC Press. This book was released on 2017-12-19 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shrinking pixel sizes along with improvements in image sensors, optics, and electronics have elevated DSCs to levels of performance that match, and have the potential to surpass, that of silver-halide film cameras. Image Sensors and Signal Processing for Digital Still Cameras captures the current state of DSC image acquisition and signal processing technology and takes an all-inclusive look at the field, from the history of DSCs to future possibilities. The first chapter outlines the evolution of DSCs, their basic structure, and their major application classes. The next few chapters discuss high-quality optics that meet the requirements of better image sensors, the basic functions and performance parameters of image sensors, and detailed discussions of both CCD and CMOS image sensors. The book then discusses how color theory affects the uses of DSCs, presents basic image processing and camera control algorithms and examples of advanced image processing algorithms, explores the architecture and required performance of signal processing engines, and explains how to evaluate image quality for each component described. The book closes with a look at future technologies and the challenges that must be overcome to realize them. With contributions from many active DSC experts, Image Sensors and Image Processing for Digital Still Cameras offers unparalleled real-world coverage and opens wide the door for future innovation.

Fluid Mechanics, Hydraulics, Hydrology and Water Resources for Civil Engineers

Author : Amithirigala Widhanelage Jayawardena
Publisher : CRC Press
ISBN 13 : 0429751001
Total Pages : 781 pages
Book Rating : 4.4/5 (297 download)

DOWNLOAD NOW!

Book Synopsis Fluid Mechanics, Hydraulics, Hydrology and Water Resources for Civil Engineers by : Amithirigala Widhanelage Jayawardena

Download or read book Fluid Mechanics, Hydraulics, Hydrology and Water Resources for Civil Engineers written by Amithirigala Widhanelage Jayawardena and published by CRC Press. This book was released on 2021-01-27 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the core areas of study in civil engineering concerns water that encompasses fluid mechanics, hydraulics and hydrology. Fluid mechanics provide the mathematical and scientific basis for hydraulics and hydrology that also have added empirical and practical contents. The knowledge contained in these three subjects is necessary for the optimal and equitable management of this precious resource that is not always available when and where it is needed, sometimes with conflicting demands. The objective of Fluid Mechanics, Hydraulics, Hydrology and Water Resources for Civil Engineers is to assimilate these core study areas into a single source of knowledge. The contents highlight the theory and applications supplemented with worked examples and also include comprehensive references for follow-up studies. The primary readership is civil engineering students who would normally go through these core subject areas sequentially spread over the duration of their studies. It is also a reference for practicing civil engineers in the water sector to refresh and update their skills.

Handbook of Image Processing and Computer Vision

Author : Arcangelo Distante
Publisher : Springer Nature
ISBN 13 : 3030423786
Total Pages : 694 pages
Book Rating : 4.0/5 (34 download)

DOWNLOAD NOW!

Book Synopsis Handbook of Image Processing and Computer Vision by : Arcangelo Distante

Download or read book Handbook of Image Processing and Computer Vision written by Arcangelo Distante and published by Springer Nature. This book was released on 2020-06-08 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Across three volumes, the Handbook of Image Processing and Computer Vision presents a comprehensive review of the full range of topics that comprise the field of computer vision, from the acquisition of signals and formation of images, to learning techniques for scene understanding. The authoritative insights presented within cover all aspects of the sensory subsystem required by an intelligent system to perceive the environment and act autonomously. Volume 3 (From Pattern to Object) examines object recognition, neural networks, motion analysis, and 3D reconstruction of a scene. Topics and features: • Describes the fundamental processes in the field of artificial vision that enable the formation of digital images from light energy • Covers light propagation, color perception, optical systems, and the analog-to-digital conversion of the signal • Discusses the information recorded in a digital image, and the image processing algorithms that can improve the visual qualities of the image • Reviews boundary extraction algorithms, key linear and geometric transformations, and techniques for image restoration • Presents a selection of different image segmentation algorithms, and of widely-used algorithms for the automatic detection of points of interest • Examines important algorithms for object recognition, texture analysis, 3D reconstruction, motion analysis, and camera calibration • Provides an introduction to four significant types of neural network, namely RBF, SOM, Hopfield, and deep neural networks This all-encompassing survey offers a complete reference for all students, researchers, and practitioners involved in developing intelligent machine vision systems. The work is also an invaluable resource for professionals within the IT/software and electronics industries involved in machine vision, imaging, and artificial intelligence. Dr. Cosimo Distante is a Research Scientist in Computer Vision and Pattern Recognition in the Institute of Applied Sciences and Intelligent Systems (ISAI) at the Italian National Research Council (CNR). Dr. Arcangelo Distante is a researcher and the former Director of the Institute of Intelligent Systems for Automation (ISSIA) at the CNR. His research interests are in the fields of Computer Vision, Pattern Recognition, Machine Learning, and Neural Computation.