Methods of Shape-preserving Spline Approximation PDF Download
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Author: Boris I. Kvasov
Publisher: World Scientific
ISBN: 9789810240103
Category : Mathematics
Languages : en
Pages : 360
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Book Description
This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar sections. The main tools used are generalized tension splines and B-splines. A difference method for constructing tension splines is also developed which permits one to avoid the computation of hyperbolic functions and provides other computational advantages. The algorithms of monotonizing parametrization described improve an adequate representation of the resulting shape-preserving curves/surfaces. Detailed descriptions of algorithms are given, with a strong emphasis on their computer implementation. These algorithms can be applied to solve many problems in computer-aided geometric design.
Author: Boris I. Kvasov
Publisher: World Scientific
ISBN: 9789810240103
Category : Mathematics
Languages : en
Pages : 360
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Book Description
This book aims to develop algorithms of shape-preserving spline approximation for curves/surfaces with automatic choice of the tension parameters. The resulting curves/surfaces retain geometric properties of the initial data, such as positivity, monotonicity, convexity, linear and planar sections. The main tools used are generalized tension splines and B-splines. A difference method for constructing tension splines is also developed which permits one to avoid the computation of hyperbolic functions and provides other computational advantages. The algorithms of monotonizing parametrization described improve an adequate representation of the resulting shape-preserving curves/surfaces. Detailed descriptions of algorithms are given, with a strong emphasis on their computer implementation. These algorithms can be applied to solve many problems in computer-aided geometric design.
Author: S.P. Singh
Publisher: Springer Science & Business Media
ISBN: 9401126348
Category : Mathematics
Languages : en
Pages : 482
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Book Description
These are the Proceedings of the NATO Advanced Study Institute on Approximation Theory, Spline Functions and Applications held in the Hotel villa del Mare, Maratea, Italy between April 28,1991 and May 9, 1991. The principal aim of the Advanced Study Institute, as reflected in these Proceedings, was to bring together recent and up-to-date developments of the subject, and to give directions for future research. Amongst the main topics covered during this Advanced Study Institute is the subject of uni variate and multivariate wavelet decomposition over spline spaces. This is a relatively new area in approximation theory and an increasingly impor tant subject. The work involves key techniques in approximation theory cardinal splines, B-splines, Euler-Frobenius polynomials, spline spaces with non-uniform knot sequences. A number of scientific applications are also highlighted, most notably applications to signal processing and digital im age processing. Developments in the area of approximation of functions examined in the course of our discussions include approximation of periodic phenomena over irregular node distributions, scattered data interpolation, Pade approximants in one and several variables, approximation properties of weighted Chebyshev polynomials, minimax approximations, and the Strang Fix conditions and their relation to radial functions. I express my sincere thanks to the members of the Advisory Commit tee, Professors B. Beauzamy, E. W. Cheney, J. Meinguet, D. Roux, and G. M. Phillips. My sincere appreciation and thanks go to A. Carbone, E. DePas cale, R. Charron, and B.
Author: Timothy J. Kehoe
Publisher: Cambridge University Press
ISBN: 1139443720
Category : Business & Economics
Languages : en
Pages : 452
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Book Description
This 2005 volume brings together twelve papers by many of the most prominent applied general equilibrium modelers honoring Herbert Scarf, the father of equilibrium computation in economics. It deals with developments in applied general equilibrium, a field which has broadened greatly since the 1980s. The contributors discuss some traditional as well as some modern topics in the field, including non-convexities in economy-wide models, tax policy, developmental modeling and energy modeling. The book also covers a range of distinct approaches, conceptual issues and computational algorithms, such as calibration and areas of application such as macroeconomics of real business cycles and finance. An introductory chapter written by the editors maps out issues and scenarios for the future evolution of applied general equilibrium.
Author: H.K. Sharma
Publisher: Allied Publishers
ISBN: 9390951658
Category : Business & Economics
Languages : en
Pages : 390
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Book Description
Sustainable development of smart cities infrastructures is of paramount importance and need to be planned, designed, constructed, operated and de-commissioned in a manner that ensures economic, social, environmental and institutional sustainability over the entire infrastructure life cycle. Smart cities infrastructure however be cost effective, disaster resilient, environmentally friendly, conserving natural resources, and sustainable ensuring faster delivery of quality and durable structures which include roads, building, bridges, energy and water infrastructures. Government of India is going to encourage Public Private Partnership (PPP) as an alternate option to build most of the infrastructures, which can be useful both for green-field as well as brown-field smart cities projects. The present book is a collection of contributed research and review papers presented at the ‘National Conference on Sustainable Development of Smart Cities Infrastructure’ (SDSCI-2023) held at National Institute of Technology, Kurukshetra in May 2023.The subject matter is grouped into nine sessions which include research articles pertaining to sustainable development of smart cities, urban and rural planning, transportation, built environment and management, sustainable and smart technologies, materials, construction and maintenance, advance modelling, characterization of structures, energy and environment, performance of smart cities infrastructure under extreme loading conditions, green buildings, structural health monitoring, and ICT in smart cities, data mining and machine learning for sustainable infrastructure, GIS and remote sensing, future trends and prospects of smart cities, innovative technologies, building energy and efficiency and sobriety, and sustainable resilience to natural and man-made disasters, and smart materials, etc. The book would be a valuable reference for researchers, students, structural designers, site engineers, and all related engineers involved in the field of sustainable development of smart cities infrastructure.
Author: Petre Caraiani
Publisher: Academic Press
ISBN: 0128135123
Category : Business & Economics
Languages : en
Pages : 240
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Book Description
Introduction to Quantitative Macroeconomics Using Julia: From Basic to State-of-the-Art Computational Techniques facilitates access to fundamental techniques in computational and quantitative macroeconomics. It focuses on the recent and very promising software, Julia, which offers a MATLAB-like language at speeds comparable to C/Fortran, also discussing modeling challenges that make quantitative macroeconomics dynamic, a key feature that few books on the topic include for macroeconomists who need the basic tools to build, solve and simulate macroeconomic models. This book neatly fills the gap between intermediate macroeconomic books and modern DSGE models used in research. - Combines an introduction to Julia, with the specific needs of macroeconomic students who are interested in DSGE models and PhD students and researchers interested in building DSGE models - Teaches fundamental techniques in quantitative macroeconomics by introducing theoretical elements of key macroeconomic models and their potential algorithmic implementations - Exposes researchers working in macroeconomics to state-of-the-art computational techniques for simulating and solving DSGE models
Author: Günther Nürnberger
Publisher: Springer Science & Business Media
ISBN: 9783764356545
Category : Mathematics
Languages : en
Pages : 344
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Book Description
This volume presents refereed papers covering a variety of topics in the growing field of multivariate approximation and slines.
Author: Klaus Hollig
Publisher: SIAM
ISBN: 1611972949
Category : Mathematics
Languages : en
Pages : 228
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Book Description
B-splines are fundamental to approximation and data fitting, geometric modeling, automated manufacturing, computer graphics, and numerical simulation. With an emphasis on key results and methods that are most widely used in practice, this textbook provides a unified introduction to the basic components of B-spline theory: approximation methods (mathematics), modeling techniques (engineering), and geometric algorithms (computer science). A supplemental Web site will provide a collection of problems, some with solutions, slides for use in lectures, and programs with demos.
Author: Pierre-Jean Laurent
Publisher: Academic Press
ISBN: 1483263878
Category : Mathematics
Languages : en
Pages : 535
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Book Description
Curves and Surfaces provides information pertinent to the fundamental aspects of approximation theory with emphasis on approximation of images, surface compression, wavelets, and tomography. This book covers a variety of topics, including error estimates for multiquadratic interpolation, spline manifolds, and vector spline approximation. Organized into 77 chapters, this book begins with an overview of the method, based on a local Taylor expansion of the final curve, for computing the parameter values. This text then presents a vector approximation based on general spline function theory. Other chapters consider a nonparametric technique for estimating under random censorship the amplitude of a change point in change point hazard models. This book discusses as well the algorithm for ray tracing rational parametric surfaces based on inversion and implicitization. The final chapter deals with the results concerning the norm of the interpolation operator and error estimates for a square domain. This book is a valuable resource for mathematicians.
Author: Liya Ding
Publisher: World Scientific
ISBN: 9814491764
Category : Computers
Languages : en
Pages : 392
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Book Description
Soft computing (SC) consists of several computing paradigms, including neural networks, fuzzy set theory, approximate reasoning, and derivative-free optimization methods such as genetic algorithms. The integration of those constituent methodologies forms the core of SC. In addition, the synergy allows SC to incorporate human knowledge effectively, deal with imprecision and uncertainty, and learn to adapt to unknown or changing environments for better performance. Together with other modern technologies, SC and its applications exert unprecedented influence on intelligent systems that mimic human intelligence in thinking, learning, reasoning, and many other aspects.Knowledge engineering (KE), which deals with knowledge acquisition, representation, validation, inferencing, explanation, and maintenance, has made significant progress recently, owing to the indefatigable efforts of researchers. Undoubtedly, the hot topics of data mining and knowledge/data discovery have injected new life into the classical AI world.This book tells readers how KE has been influenced and extended by SC and how SC will be helpful in pushing the frontier of KE further. It is intended for researchers and graduate students to use as a reference in the study of knowledge engineering and intelligent systems. The reader is expected to have a basic knowledge of fuzzy logic, neural networks, genetic algorithms, and knowledge-based systems.
Author: Hossein Bonakdari
Publisher: Elsevier
ISBN: 0323972756
Category : Science
Languages : en
Pages : 372
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Book Description
Stochastic Modeling: A Thorough Guide to Evaluate, Pre-Process, Model and Compare Time Series with MATLAB Software allows for new avenues in time series analysis and predictive modeling which summarize more than ten years of experience in the application of stochastic models in environmental problems. The book introduces a variety of different topics in time series in the modeling and prediction of complex environmental systems. Most importantly, all codes are user-friendly and readers will be able to use them for their cases. Users who may not be familiar with MATLAB software can also refer to the appendix. This book also guides the reader step-by-step to learn developed codes for time series modeling, provides required toolboxes, explains concepts, and applies different tools for different types of environmental time series problems. - Provides video tutorials on the use of codes - Includes a companion site with 3,000 lines of programming, 70 principal codes and 100 pseudo codes - Highlights multiple methods to Illustrate each problem
