Interpolation Processes

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Interpolation Processes

Author : Giuseppe Mastroianni
Publisher : Springer Science & Business Media
ISBN 13 : 3540683496
Total Pages : 452 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Interpolation Processes by : Giuseppe Mastroianni

Download or read book Interpolation Processes written by Giuseppe Mastroianni and published by Springer Science & Business Media. This book was released on 2008-08-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interpolation of functions is one of the basic part of Approximation Theory. There are many books on approximation theory, including interpolation methods that - peared in the last fty years, but a few of them are devoted only to interpolation processes. An example is the book of J. Szabados and P. Vértesi: Interpolation of Functions, published in 1990 by World Scienti c. Also, two books deal with a special interpolation problem, the so-called Birkhoff interpolation, written by G.G. Lorentz, K. Jetter, S.D. Riemenschneider (1983) and Y.G. Shi (2003). The classical books on interpolation address numerous negative results, i.e., - sultsondivergentinterpolationprocesses,usuallyconstructedoversomeequidistant system of nodes. The present book deals mainly with new results on convergent - terpolation processes in uniform norm, for algebraic and trigonometric polynomials, not yet published in other textbooks and monographs on approximation theory and numerical mathematics. Basic tools in this eld (orthogonal polynomials, moduli of smoothness,K-functionals, etc.), as well as some selected applications in numerical integration, integral equations, moment-preserving approximation and summation of slowly convergent series are also given. The rstchapterprovidesanaccountofbasicfactsonapproximationbyalgebraic and trigonometric polynomials introducing the most important concepts on appro- mation of functions. Especially, in Sect. 1.4 we give basic results on interpolation by algebraic polynomials, including representations and computation of interpolation polynomials, Lagrange operators, interpolation errors and uniform convergence in some important classes of functions, as well as an account on the Lebesgue function and some estimates for the Lebesgue constant.

Smoothed Point Interpolation Methods: G Space Theory And Weakened Weak Forms

Author : Gui-rong Liu
Publisher : World Scientific
ISBN 13 : 9814452866
Total Pages : 697 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Smoothed Point Interpolation Methods: G Space Theory And Weakened Weak Forms by : Gui-rong Liu

Download or read book Smoothed Point Interpolation Methods: G Space Theory And Weakened Weak Forms written by Gui-rong Liu and published by World Scientific. This book was released on 2013-08-16 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the widely used finite element method (FEM) and the latest Meshfree methods, a next generation of numerical method called Smoothed Point Interpolation Method (S-PIM) has been recently developed. The S-PIM is an innovative and effective combination of the FEM and the meshfree methods, and enables automation in computation, modeling and simulations — one of the most important features of the next generation methods. This important book describes the various S-PIM models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G space theory, novel weakened weak (W2) formulations, techniques for shape functions, formulation procedures, and implementation strategies are presented in detail. Numerous examples are provided to demonstrate the efficiency and accuracy of the S-PIM solutions in comparison with the FEM and other existing methods. Effective techniques to compute solution bounds employing both S-PIM and FEM are highlighted to obtain certified solutions with both upper and lower bounds.The book also presents a systematically way to conduct adaptive analysis for solutions of desired accuracy using these bound properties, which is another key feature of the next generation of computational methods. This will benefit researchers, engineers and students who are venturing into new areas of research and computer code development.

Interpolation and Approximation

Author : Philip J. Davis
Publisher : Courier Corporation
ISBN 13 : 0486624951
Total Pages : 418 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Interpolation and Approximation by : Philip J. Davis

Download or read book Interpolation and Approximation written by Philip J. Davis and published by Courier Corporation. This book was released on 1975-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intermediate-level survey covers remainder theory, convergence theorems, and uniform and best approximation. Other topics include least square approximation, Hilbert space, orthogonal polynomials, theory of closure and completeness, and more. 1963 edition.

Comparison of Interpolation Methods as Applied to Time Synchronous Averaging

Author :
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (317 download)

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Book Synopsis Comparison of Interpolation Methods as Applied to Time Synchronous Averaging by :

Download or read book Comparison of Interpolation Methods as Applied to Time Synchronous Averaging written by and published by . This book was released on 1999 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several interpolation techniques were investigated to determine their effect on time synchronous averaging of gear vibration signals and also the effects on standard health monitoring diagnostic parameters. The data was also digitally resampled to determine the effect of lower acquisition rates. The analysis used previously recorded vibration data taken during Health and Usage Monitoring gear testing at the NASA Glenn Research Center. The gear testing monitored the development of surface pitting fatigue on aerospace quality spur gears. Linear, cubic and spline interpolation methods were investigated. Comparisons between the resultant averages show that while there are differences in the resultant time synchronous averages, the differences are not obvious. The diagnostic parameters tested were FM4 and NA4. There are significant differences in the percent deviation curves which imply that the magnitudes of the errors increase as the sample rate decreases.

Smoothed Point Interpolation Methods

Author : Gui-Rong Liu
Publisher : World Scientific
ISBN 13 : 9814452858
Total Pages : 697 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Smoothed Point Interpolation Methods by : Gui-Rong Liu

Download or read book Smoothed Point Interpolation Methods written by Gui-Rong Liu and published by World Scientific. This book was released on 2013 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the various Smoothed Point Interpolation Method (S-PIM) models in a systematic, concise and easy-to-understand manner. The underlying principles for the next generation of computational methods, G space theory, novel weakened weak (W2) formulations, techniques for shape functions, formulation procedures, and implementation strategies are presented in detail.

Interpolation Theory

Author : Alessandra Lunardi
Publisher : Edizioni della Normale
ISBN 13 : 9788876426391
Total Pages : 199 pages
Book Rating : 4.4/5 (263 download)

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Book Synopsis Interpolation Theory by : Alessandra Lunardi

Download or read book Interpolation Theory written by Alessandra Lunardi and published by Edizioni della Normale. This book was released on 2018-04-17 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the third edition of the 1999 lecture notes of the courses on interpolation theory that the author delivered at the Scuola Normale in 1998 and 1999. In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality. In this book the principles of interpolation theory are illustrated aiming at simplification rather than at generality. The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations. Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis.

Interpolation Spaces

Author : J. Bergh
Publisher : Springer Science & Business Media
ISBN 13 : 3642664512
Total Pages : 218 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Interpolation Spaces by : J. Bergh

Download or read book Interpolation Spaces written by J. Bergh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The works of Jaak Peetre constitute the main body of this treatise. Important contributors are also J. L. Lions and A. P. Calderon, not to mention several others. We, the present authors, have thus merely compiled and explained the works of others (with the exception of a few minor contributions of our own). Let us mention the origin of this treatise. A couple of years ago, J. Peetre suggested to the second author, J. Lofstrom, writing a book on interpolation theory and he most generously put at Lofstrom's disposal an unfinished manu script, covering parts of Chapter 1-3 and 5 of this book. Subsequently, LOfstrom prepared a first rough, but relatively complete manuscript of lecture notes. This was then partly rewritten and thouroughly revised by the first author, J. Bergh, who also prepared the notes and comment and most of the exercises. Throughout the work, we have had the good fortune of enjoying Jaak Peetre's kind patronage and invaluable counsel. We want to express our deep gratitude to him. Thanks are also due to our colleagues for their support and help. Finally, we are sincerely grateful to Boe1 Engebrand, Lena Mattsson and Birgit Hoglund for their expert typing of our manuscript.

Interpolation of Spatial Data

Author : Michael L. Stein
Publisher : Springer Science & Business Media
ISBN 13 : 1461214947
Total Pages : 263 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Interpolation of Spatial Data by : Michael L. Stein

Download or read book Interpolation of Spatial Data written by Michael L. Stein and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: A summary of past work and a description of new approaches to thinking about kriging, commonly used in the prediction of a random field based on observations at some set of locations in mining, hydrology, atmospheric sciences, and geography.

Data Analysis Methods in Physical Oceanography

Author : Richard E. Thomson
Publisher : Elsevier
ISBN 13 : 0080477003
Total Pages : 654 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis Data Analysis Methods in Physical Oceanography by : Richard E. Thomson

Download or read book Data Analysis Methods in Physical Oceanography written by Richard E. Thomson and published by Elsevier. This book was released on 2001-04-03 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data Analysis Methods in Physical Oceanography is a practical referenceguide to established and modern data analysis techniques in earth and oceansciences. This second and revised edition is even more comprehensive with numerous updates, and an additional appendix on 'Convolution and Fourier transforms'. Intended for both students and established scientists, the fivemajor chapters of the book cover data acquisition and recording, dataprocessing and presentation, statistical methods and error handling,analysis of spatial data fields, and time series analysis methods. Chapter 5on time series analysis is a book in itself, spanning a wide diversity oftopics from stochastic processes and stationarity, coherence functions,Fourier analysis, tidal harmonic analysis, spectral and cross-spectralanalysis, wavelet and other related methods for processing nonstationarydata series, digital filters, and fractals. The seven appendices includeunit conversions, approximation methods and nondimensional numbers used ingeophysical fluid dynamics, presentations on convolution, statisticalterminology, and distribution functions, and a number of importantstatistical tables. Twenty pages are devoted to references. Featuring:• An in-depth presentation of modern techniques for the analysis of temporal and spatial data sets collected in oceanography, geophysics, and other disciplines in earth and ocean sciences.• A detailed overview of oceanographic instrumentation and sensors - old and new - used to collect oceanographic data.• 7 appendices especially applicable to earth and ocean sciences ranging from conversion of units, through statistical tables, to terminology and non-dimensional parameters. In praise of the first edition: "(...)This is a very practical guide to the various statistical analysis methods used for obtaining information from geophysical data, with particular reference to oceanography(...)The book provides both a text for advanced students of the geophysical sciences and a useful reference volume for researchers." Aslib Book Guide Vol 63, No. 9, 1998 "(...)This is an excellent book that I recommend highly and will definitely use for my own research and teaching." EOS Transactions, D.A. Jay, 1999 "(...)In summary, this book is the most comprehensive and practical source of information on data analysis methods available to the physical oceanographer. The reader gets the benefit of extremely broad coverage and an excellent set of examples drawn from geographical observations." Oceanography, Vol. 12, No. 3, A. Plueddemann, 1999 "(...)Data Analysis Methods in Physical Oceanography is highly recommended for a wide range of readers, from the relative novice to the experienced researcher. It would be appropriate for academic and special libraries." E-Streams, Vol. 2, No. 8, P. Mofjelf, August 1999

Cellular Automata in Image Processing and Geometry

Author : Paul Rosin
Publisher : Springer
ISBN 13 : 3319064312
Total Pages : 312 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Cellular Automata in Image Processing and Geometry by : Paul Rosin

Download or read book Cellular Automata in Image Processing and Geometry written by Paul Rosin and published by Springer. This book was released on 2014-05-29 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents findings, views and ideas on what exact problems of image processing, pattern recognition and generation can be efficiently solved by cellular automata architectures. This volume provides a convenient collection in this area, in which publications are otherwise widely scattered throughout the literature. The topics covered include image compression and resizing; skeletonization, erosion and dilation; convex hull computation, edge detection and segmentation; forgery detection and content based retrieval; and pattern generation. The book advances the theory of image processing, pattern recognition and generation as well as the design of efficient algorithms and hardware for parallel image processing and analysis. It is aimed at computer scientists, software programmers, electronic engineers, mathematicians and physicists, and at everyone who studies or develops cellular automaton algorithms and tools for image processing and analysis, or develops novel architectures and implementations of massive parallel computing devices. The book will provide attractive reading for a general audience because it has do-it-yourself appeal: all the computer experiments presented within it can be implemented with minimal knowledge of programming. The simplicity yet substantial functionality of the cellular automaton approach, and the transparency of the algorithms proposed, makes the text ideal supplementary reading for courses on image processing, parallel computing, automata theory and applications.

Geospatial Applications for Climate Adaptation Planning

Author : Diana Mitsova
Publisher : Routledge
ISBN 13 : 1351113941
Total Pages : 332 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Geospatial Applications for Climate Adaptation Planning by : Diana Mitsova

Download or read book Geospatial Applications for Climate Adaptation Planning written by Diana Mitsova and published by Routledge. This book was released on 2018-12-07 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Climate adaptation is a timely yet complex topic that does not fit squarely into any one disciplinary realm. Geospatial Applications for Climate Adaptation Planning presents an overview of the range of strategies, tools, and techniques that must be used to assess myriad overlapping vulnerabilities and to formulate appropriate climate-relevant solutions at multiple scales and in varying contexts. Organized into four sections, the book includes 15 chapters. Each chapter is grounded in the literature and presents case studies designed by the authors, as well as many examples from a diverse international group of scholars and entities in the public and private sectors. Areas covered include: Climate Change and Climate Adaptation Planning: Context and Concepts Geospatial Technologies: Fundamentals and Terminology GIS and Climate Vulnerability Assessments Technical Approaches to Formulating Mitigation and Adaptation Strategies Geospatial Applications for Climate Adaptation Planning is aimed at advanced students, researchers, and entities in the public and private sectors. It also provides supplementary reading for courses in planning, public administration, policy studies, and disaster management.

Digital Image Processing

Author : Wilhelm Burger
Publisher : Springer Science & Business Media
ISBN 13 : 9781846283796
Total Pages : 596 pages
Book Rating : 4.2/5 (837 download)

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Book Synopsis Digital Image Processing by : Wilhelm Burger

Download or read book Digital Image Processing written by Wilhelm Burger and published by Springer Science & Business Media. This book was released on 2012-01-19 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written as an introduction for undergraduate students, this textbook covers the most important methods in digital image processing. Formal and mathematical aspects are discussed at a fundamental level and various practical examples and exercises supplement the text. The book uses the image processing environment ImageJ, freely distributed by the National Institute of Health. A comprehensive website supports the book, and contains full source code for all examples in the book, a question and answer forum, slides for instructors, etc. Digital Image Processing in Java is the definitive textbook for computer science students studying image processing and digital processing.

Filling-in

Author : Luiz Pessoa
Publisher : Oxford University Press, USA
ISBN 13 : 0195140133
Total Pages : 369 pages
Book Rating : 4.1/5 (951 download)

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Book Synopsis Filling-in by : Luiz Pessoa

Download or read book Filling-in written by Luiz Pessoa and published by Oxford University Press, USA. This book was released on 2003 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: The best example of filling-in involves the blind spot, a region of the retina devoid of photoreceptors. While this phenomenon is common in the visual domain, it is argued by contributors to this book that forms of filling-in also take place in other sensory modalities.

Soft Computing and Signal Processing

Author : Vustikayala Sivakumar Reddy
Publisher : Springer Nature
ISBN 13 : 9819986281
Total Pages : 620 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Soft Computing and Signal Processing by : Vustikayala Sivakumar Reddy

Download or read book Soft Computing and Signal Processing written by Vustikayala Sivakumar Reddy and published by Springer Nature. This book was released on with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantitative Data Processing in Scanning Probe Microscopy

Author : Petr Klapetek
Publisher : William Andrew
ISBN 13 : 1455730599
Total Pages : 335 pages
Book Rating : 4.4/5 (557 download)

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Book Synopsis Quantitative Data Processing in Scanning Probe Microscopy by : Petr Klapetek

Download or read book Quantitative Data Processing in Scanning Probe Microscopy written by Petr Klapetek and published by William Andrew. This book was released on 2012-12-31 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accurate measurement at the nano-scale – nanometrology – is a critical tool for advanced nanotechnology applications, where exact quantities and engineering precision are beyond the capabilities of traditional measuring techniques and instruments. Scanning Probe Microscopy (SPM) builds up a picture of a specimen by scanning with a physical probe; unrestrained by the wavelength of light or electrons, the resolution obtainable with this technique can resolve atoms. SPM instruments include the Atomic Force Microscope (AFM) and Scanning Tunneling Microscope (STM). Despite tremendous advances in Scanning Probe Microscopy (SPM) over the last twenty years, its potential as a quantitative measurement tool have not been fully realized, due to challenges such as the complexity of tip/sample interaction. In this book, Petr Klapetek uses the latest research to unlock SPM as a toolkit for nanometrology in fields as diverse as nanotechnology, surface physics, materials engineering, thin film optics, and life sciences. Klapetek's considerable experience of Quantitive Data Processing, using software tools, enables him to not only explain the microscopy techniques, but also to demystify the analysis and interpretation of the data collected. In addition to the essential principles and theory of SPM metrology, Klapetek provides readers with a number of worked examples to demonstrate typical ways of solving problems in SPM analysis. Source data for the examples as well as most of the described open source software tools are available on a companion website. - Unlocks the use of Scanning Probe Microscopy (SPM) for nanometrology applications in engineering, physics, life science and earth science settings - Provides practical guidance regarding areas of difficulty such as tip/sample interaction and calibration – making metrology applications achievable - Gives guidance on data collection and interpretation, including the use of software-based modeling (using applications that are mostly freely available)

Spatial Econometric Methods in Agricultural Economics Using R

Author : Paolo Postiglione
Publisher : CRC Press
ISBN 13 : 1498766838
Total Pages : 287 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Spatial Econometric Methods in Agricultural Economics Using R by : Paolo Postiglione

Download or read book Spatial Econometric Methods in Agricultural Economics Using R written by Paolo Postiglione and published by CRC Press. This book was released on 2021-12-22 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern tools, such as GIS and remote sensing, are increasingly used in the monitoring of agricultural resources. The developments in GIS technology offer growing opportunities to agricultural economics analysts dealing with large and detailed spatial databases, allowing them to combine spatial information from different sources and to produce different models. The availability of these valuable sources of information makes the advanced models suggested in the spatial statistic and econometric literature applicable to agricultural economics. This book aims at supporting stakeholders to design spatial surveys for agricultural data and/or to analyse the geographically collected data. This book attempts to describe the main typology of agricultural data and the most appropriate methods for the analysis, together with a detailed description of the available data sources and their collection methods. Topics such as spatial interpolation, point patterns, spatial autocorrelation, survey data analysis, small area estimation, regional data modelling, and spatial econometrics techniques are covered jointly with issues arising from the integration of several data types. The theory of spatial methods is complemented by real and/or simulated examples implemented through the open-source software R.

Meshfree Methods

Author : G.R. Liu
Publisher : CRC Press
ISBN 13 : 1420082108
Total Pages : 772 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Meshfree Methods by : G.R. Liu

Download or read book Meshfree Methods written by G.R. Liu and published by CRC Press. This book was released on 2009-10-06 with total page 772 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understand How to Use and Develop Meshfree TechniquesAn Update of a Groundbreaking WorkReflecting the significant advances made in the field since the publication of its predecessor, Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition systematically covers the most widely used meshfree methods. With 70% new material, this edit