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Stationary Subdivision

Stationary Subdivision
Author: Alfred S. Cavaretta
Publisher: American Mathematical Soc.
Total Pages: 197
Release: 1991
Genre: Algorithms
ISBN: 0821825070

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This monograph presents a systematic development of the basic mathematical principles and concepts associated with stationary subdivision algorithms which are used for generating curves and surfaces in computer graphics. Special attention is given to the structure of such algorithms in a multidimensional settings, and the convergence issue is analyzed using appropriate tools from Fourier analysis and functional analysis.


Subdivision Surface Modeling Technology

Subdivision Surface Modeling Technology
Author: Wenhe Liao
Publisher: Springer
Total Pages: 307
Release: 2017-10-11
Genre: Computers
ISBN: 9811035156

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This book offers a comprehensive introduction to Subdivision Surface Modeling Technology focusing not only on fundamental theories but also on practical applications. It furthers readers’ understanding of the contacts between spline surfaces and subdivision surfaces, enabling them to master the Subdivision Surface Modeling Technology for analyzing subdivision surfaces. Subdivision surface modeling is a popular technology in the field of computer aided design (CAD) and computer graphics (CG) thanks to its ability to model meshes of any topology. The book also discusses some typical Subdivision Surface Modeling Technologies, such as interpolation, fitting, fairing, intersection, as well as trimming and interactive editing. It is a valuable tool, enabling readers to grasp the main technologies of subdivision surface modeling and use them in software development, which in turn leads to a better understanding of CAD/CG software operations.


Approximation Theory XVI

Approximation Theory XVI
Author: Gregory E. Fasshauer
Publisher: Springer Nature
Total Pages: 256
Release: 2021-01-04
Genre: Mathematics
ISBN: 3030574644

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These proceedings are based on the international conference Approximation Theory XVI held on May 19–22, 2019 in Nashville, Tennessee. The conference was the sixteenth in a series of meetings in Approximation Theory held at various locations in the United States. Over 130 mathematicians from 20 countries attended. The book contains two longer survey papers on nonstationary subdivision and Prony’s method, along with 11 research papers on a variety of topics in approximation theory, including Balian-Low theorems, butterfly spline interpolation, cubature rules, Hankel and Toeplitz matrices, phase retrieval, positive definite kernels, quasi-interpolation operators, stochastic collocation, the gradient conjecture, time-variant systems, and trivariate finite elements. The book should be of interest to mathematicians, engineers, and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis, and related approximation areas.


Intelligent Systems Modeling and Simulation II

Intelligent Systems Modeling and Simulation II
Author: Samsul Ariffin Abdul Karim
Publisher: Springer Nature
Total Pages: 688
Release: 2022-10-12
Genre: Technology & Engineering
ISBN: 3031040287

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This book develops a new system of modeling and simulations based on intelligence system. As we are directly moving from Third Industrial Revolution (IR3.0) to Fourth Industrial Revolution (IR4.0), there are many emergence techniques and algorithm that appear in many sciences and engineering branches. Nowadays, most industries are using IR4.0 in their product development as well as to refine their products. These include simulation on oil rig drilling, big data analytics on consumer analytics, fastest algorithm for large-scale numerical simulations and many more. These will save millions of dollar in the operating costs. Without any doubt, mathematics, statistics and computing are well blended to form an intelligent system for simulation and modeling. Motivated by this rapid development, in this book, a total of 41 chapters are contributed by the respective experts. The main scope of the book is to develop a new system of modeling and simulations based on machine learning, neural networks, efficient numerical algorithm and statistical methods. This book is highly suitable for postgraduate students, researchers as well as scientists that have interest in intelligent numerical modeling and simulations.


Methods of Mathematical Modelling and Computation for Complex Systems

Methods of Mathematical Modelling and Computation for Complex Systems
Author: Jagdev Singh
Publisher: Springer Nature
Total Pages: 433
Release: 2021-08-26
Genre: Technology & Engineering
ISBN: 3030771695

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This book contains several contemporary topics in the areas of mathematical modelling and computation for complex systems. The readers find several new mathematical methods, mathematical models and computational techniques having significant relevance in studying various complex systems. The chapters aim to enrich the understanding of topics presented by carefully discussing the associated problems and issues, possible solutions and their applications or relevance in other scientific areas of study and research. The book is a valuable resource for graduate students, researchers and educators in understanding and studying various new aspects associated with complex systems. Key Feature • The chapters include theory and application in a mix and balanced way. • Readers find reasonable details of developments concerning a topic included in this book. • The text is emphasized to present in self-contained manner with inclusion of new research problems and questions.


Geometric Modeling and Processing - GMP 2006

Geometric Modeling and Processing - GMP 2006
Author: Myung-Soo Kim
Publisher: Springer
Total Pages: 709
Release: 2006-07-18
Genre: Computers
ISBN: 3540368655

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This book constitutes the refereed proceedings of the 4th International Conference on Geometric Modeling and Processing, GMP 2006, held in Pittsburgh, PA, USA, July 2006. The book presents 36 revised full papers and 21 revised short papers addressing current issues in geometric modeling and processing are addressed. The papers are organized in topical sections on shape reconstruction, curves and surfaces, geometric processing, shape deformation, shape description, shape recognition, and more.


Wavelets, Images, and Surface Fitting

Wavelets, Images, and Surface Fitting
Author: Pierre-Jean Laurent
Publisher: CRC Press
Total Pages: 544
Release: 1994-07-15
Genre: Computers
ISBN: 1439863601

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This volume documents the results and presentations relating to the use of wavelet theory and other methods in surface fitting and image reconstruction of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application.


Advanced Methods for Processing and Visualizing the Renewable Energy

Advanced Methods for Processing and Visualizing the Renewable Energy
Author: Samsul Ariffin Abdul Karim
Publisher: Springer Nature
Total Pages: 157
Release: 2020-10-21
Genre: Technology & Engineering
ISBN: 9811586063

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This book is a collection of research work conducted by researchers at Centre for Smart Grid Energy Research (CSMER), Institute of Autonomous System, Universiti Teknologi PETRONAS (UTP), and Seismic Modelling and Inversion Group, King Abdullah University of Science and Technology (KAUST), Saudi Arabia. The book covers topics in the field of renewable energy where visualization, artificial neural network and deep learning techniques have been applied to optimize the performance of various applications in energy-related industries. These examples include a natural gas vehicle (NGV), a single axis and a fixed axis solar tracker, seismic inversion enhanced oil recovery, viability of a PV system and construction of a septic B-spline tensor product scheme. Readers will benefit from these examples, which describe the current trend of energy optimization techniques in renewable energy applications making it a good reference for the researchers and industrial practitioners working in the field of renewable energy and optimization techniques.


Geometric Computation

Geometric Computation
Author: Falai Chen
Publisher: World Scientific
Total Pages: 423
Release: 2004
Genre: Computers
ISBN: 9812387994

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This book contains tutorial surveys and original research contributions in geometric computing, modeling, and reasoning. Highlighting the role of algebraic computation, it covers: surface blending, implicitization, and parametrization; automated deduction with Clifford algebra and in real geometry; and exact geometric computation. Basic techniques, advanced methods, and new findings are presented coherently, with many examples and illustrations. Using this book the reader will easily cross the frontiers of symbolic computation, computer aided geometric design, and automated reasoning. The book is also a valuable reference for people working in other relevant areas, such as scientific computing, computer graphics, and artificial intelligence.


Bézier and B-Spline Techniques

Bézier and B-Spline Techniques
Author: Hartmut Prautzsch
Publisher: Springer Science & Business Media
Total Pages: 299
Release: 2013-04-17
Genre: Computers
ISBN: 3662049198

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This book provides a solid and uniform derivation of the various properties Bezier and B-spline representations have, and shows the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer Aided Geometric Design and provides a clear and illustrative presentation of the basic principles, as well as a treatment of advanced material including multivariate splines, some subdivision techniques and constructions of free form surfaces with arbitrary smoothness. The text is beautifully illustrated with many excellent figures to emphasize the geometric constructive approach of this book.