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.

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 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.

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 Theory

Author : Alessandra Lunardi
Publisher : Springer
ISBN 13 : 8876426388
Total Pages : 208 pages
Book Rating : 4.8/5 (764 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 Springer. This book was released on 2018-05-05 with total page 208 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.

Digital Image Interpolation in Matlab

Author : Chi-Wah Kok
Publisher : John Wiley & Sons
ISBN 13 : 1119119618
Total Pages : 336 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Digital Image Interpolation in Matlab by : Chi-Wah Kok

Download or read book Digital Image Interpolation in Matlab written by Chi-Wah Kok and published by John Wiley & Sons. This book was released on 2019-03-19 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive study in digital image interpolation with theoretical, analytical and Matlab® implementation. It includes all historically and practically important interpolation algorithms, accompanied with Matlab® source code on a website, which will assist readers to learn and understand the implementation details of each presented interpolation algorithm. Furthermore, sections in fundamental signal processing theories and image quality models are also included. The authors intend for the book to help readers develop a thorough consideration of the design of image interpolation algorithms and applications for their future research in the field of digital image processing. Introduces a wide range of traditional and advanced image interpolation methods concisely and provides thorough treatment of theoretical foundations Discusses in detail the assumptions and limitations of presented algorithms Investigates a variety of interpolation and implementation methods including transform domain, edge-directed, wavelet and scale-space, and fractal based methods Features simulation results for comparative analysis, summaries and computational and analytical exercises at the end of each chapter Digital Image Interpolation in Matlab® is an excellent guide for researchers and engineers working in digital imaging and digital video technologies. Graduate students studying digital image processing will also benefit from this practical reference text.

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.

Function Spaces, Interpolation Theory and Related Topics

Author : Michael Cwikel
Publisher : Walter de Gruyter
ISBN 13 : 3110198053
Total Pages : 473 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Function Spaces, Interpolation Theory and Related Topics by : Michael Cwikel

Download or read book Function Spaces, Interpolation Theory and Related Topics written by Michael Cwikel and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectral theory and wavelets. The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.

The Manual of Photography

Author : Elizabeth Allen
Publisher : Taylor & Francis
ISBN 13 : 1136091092
Total Pages : 586 pages
Book Rating : 4.1/5 (36 download)

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Book Synopsis The Manual of Photography by : Elizabeth Allen

Download or read book The Manual of Photography written by Elizabeth Allen and published by Taylor & Francis. This book was released on 2012-11-12 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: The tenth edition of The Manual of Photography is an indispensable textbook for anyone who is serious about photography. It is ideal if you want to gain insight into the underlying scientific principles of photography and digital imaging, whether you are a professional photographer, lab technician, researcher or student in the field, or simply an enthusiastic amateur. This comprehensive guide takes you from capture to output in both digital and film media, with sections on lens use, darkroom techniques, digital cameras and scanners, image editing techniques and processes, workflow, digital file formats and image archiving. This iconic text was first published in 1890 and has aided many thousands of photographers in developing their own techniques and understanding of the medium. Now in full colour, The Manual of Photography still retains its clear, reader-friendly style and is filled with images and illustrations demonstrating the key principles. Not only giving you the skills and know-how to take stunning photographs, but will also allowing you to fully understand the science behind the creation of great images.

Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness

Author : Michael Andreas Matt
Publisher : Springer Science & Business Media
ISBN 13 : 3834823848
Total Pages : 377 pages
Book Rating : 4.8/5 (348 download)

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Book Synopsis Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness by : Michael Andreas Matt

Download or read book Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness written by Michael Andreas Matt and published by Springer Science & Business Media. This book was released on 2012-05-10 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Michael A. Matt constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and Cr macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. The first interpolation method is based on cubic C1 splines over type-4 cube partitions, for which numerical tests are given. The second is the first trivariate Lagrange interpolation method using C2 splines. It is based on arbitrary tetrahedral partitions using splines of degree nine. The author constructs trivariate macro-elements based on the Alfeld split, where each tetrahedron is divided into four subtetrahedra, and the Worsey-Farin split, where each tetrahedron is divided into twelve subtetrahedra, of a tetrahedral partition. In order to obtain the macro-elements based on the Worsey-Farin split minimal determining sets for Cr macro-elements are constructed over the Clough-Tocher split of a triangle, which are more variable than those in the literature.

Multi-Modality Atherosclerosis Imaging and Diagnosis

Author : Luca Saba
Publisher : Springer Science & Business Media
ISBN 13 : 1461474256
Total Pages : 423 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Multi-Modality Atherosclerosis Imaging and Diagnosis by : Luca Saba

Download or read book Multi-Modality Atherosclerosis Imaging and Diagnosis written by Luca Saba and published by Springer Science & Business Media. This book was released on 2013-09-13 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stroke is one of the leading causes of death in the world, resulting mostly from the sudden ruptures of atherosclerosis carotid plaques. Understanding why and how plaque develops and ruptures requires a multi-disciplinary approach such as radiology, biomedical engineering, medical physics, software engineering, hardware engineering, pathological and histological imaging. Multi-Modality Atherosclerosis Imaging, Diagnosis and Treatment presents a new dimension of understanding Atherosclerosis in 2D and 3D. This book presents work on plaque stress analysis in order to provide a general framework of computational modeling with atherosclerosis plaques. New algorithms based on 3D and 4D Ultrasound are presented to assess the atherosclerotic disease as well as very recent advances in plaque multimodality image fusion analysis. The goal of Multi-Modality Atherosclerosis Imaging, Diagnosis and Treatment is to fuse information obtained from different 3D medical image modalities, such as 3D US, CT and MRI, providing the medical doctor with some sort of augmented reality information about the atherosclerotic plaque in order to improve the accuracy of the diagnosis. Analysis of the plaque dynamics along the cardiac cycle is also a valuable indicator for plaque instability assessment and therefore for risk stratification. 4D Ultrasound, a sequence of 3D reconstructions of the region of interest along the time, can be used for this dynamic analysis. Multimodality Image Fusion is a very appealing approach because it puts together the best characteristics of each modality, such as, the high temporal resolution of US and the high spatial resolutions of MRI and CT.

Discrete-continuum Coupling Method to Simulate Highly Dynamic Multi-scale Problems

Author : Mohamed Jebahi
Publisher : John Wiley & Sons
ISBN 13 : 1848217714
Total Pages : 216 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis Discrete-continuum Coupling Method to Simulate Highly Dynamic Multi-scale Problems by : Mohamed Jebahi

Download or read book Discrete-continuum Coupling Method to Simulate Highly Dynamic Multi-scale Problems written by Mohamed Jebahi and published by John Wiley & Sons. This book was released on 2015-11-09 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex behavior models (plasticity, crack, visco-elascticity) are facing several theoretical difficulties in determining the behavior law at the continuous (macroscopic) scale. When homogenization fails to give the right behavior law, a solution is to simulate the material at a mesoscale using the discrete element model (DEM) in order to directly simulate a set of discrete properties that are responsible for the macroscopic behavior. Originally, the discrete element model was developed for granular material. This book, the second in the Discrete Element Model and Simulation of Continuous Materials Behavior set of books, shows how to choose the adequate coupling parameters to avoid spurious wave reflection and to allow the passage of all the dynamic information both from the fine to the coarse model and vice versa. The authors demonstrate the coupling method to simulate a highly nonlinear dynamical problem: the laser shock processing of silica glass.

Improved Signal and Image Interpolation in Biomedical Applications: The Case of Magnetic Resonance Imaging (MRI)

Author : Ciulla, Carlo
Publisher : IGI Global
ISBN 13 : 1605662038
Total Pages : 640 pages
Book Rating : 4.6/5 (56 download)

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Book Synopsis Improved Signal and Image Interpolation in Biomedical Applications: The Case of Magnetic Resonance Imaging (MRI) by : Ciulla, Carlo

Download or read book Improved Signal and Image Interpolation in Biomedical Applications: The Case of Magnetic Resonance Imaging (MRI) written by Ciulla, Carlo and published by IGI Global. This book was released on 2009-03-31 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book presents novel concepts supported through mathematics to create unique theories related to interpolation"--Provided by publisher.

Simulation and Synthesis in Medical Imaging

Author : Sotirios A. Tsaftaris
Publisher : Springer
ISBN 13 : 3319681273
Total Pages : 116 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Simulation and Synthesis in Medical Imaging by : Sotirios A. Tsaftaris

Download or read book Simulation and Synthesis in Medical Imaging written by Sotirios A. Tsaftaris and published by Springer. This book was released on 2017-09-28 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Workshop on Simulation and Synthesis in Medical Imaging, held in conjunction with MICCAI 2017, in Québec City, Canada, in September 2017. The 11 revised full papers presented were carefully reviewed and selected from 14 submissions. The contributions span the following broad categories: cross modality (PET/MR, PET/CT, CT/MR, etc.) image synthesis, simulation and synthesis from large-scale image databases, automated techniques for quality assessment images, and several applications of image synthesis and simulation in medical imaging such as image interpolation and segmentation, image reconstruction, cell imaging, and blood flow.

Efficient Solvers for Incompressible Flow Problems

Author : Stefan Turek
Publisher : Springer Science & Business Media
ISBN 13 : 3642583938
Total Pages : 369 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Efficient Solvers for Incompressible Flow Problems by : Stefan Turek

Download or read book Efficient Solvers for Incompressible Flow Problems written by Stefan Turek and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A discussion of recent numerical and algorithmic tools for the solution of certain flow problems arising in CFD, which are governed by the incompressible Navier-Stokes equations. The book contains the latest results for the numerical solution of (complex) flow problems on modern computer platforms, with particular emphasis on the solution process of the resulting high dimensional discrete systems of equations which is often neglected in other works. Together with the accompanying CD ROM containing the complete FEATFLOW 1.1 software and parts of the "Virtual Album of Fluid Motion", readers are able to perform their own numerical simulations and will find numerous suggestions for improving their own computational simulations.