Analysis And Design Of Univariate Subdivision Schemes

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Analysis and Design of Univariate Subdivision Schemes

Malcolm Sabin
Analysis and Design of Univariate Subdivision Schemes Book PDF

Author : Malcolm Sabin
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 53,9 Mb
Release : 2010-08-16
Category : Mathematics
ISBN : 9783642136481

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Analysis and Design of Univariate Subdivision Schemes by Malcolm Sabin Pdf

‘Subdivision’ is a way of representing smooth shapes in a computer. A curve or surface (both of which contain an in?nite number of points) is described in terms of two objects. One object is a sequence of vertices, which we visualise as a polygon, for curves, or a network of vertices, which we visualise by drawing the edges or faces of the network, for surfaces. The other object is a set of rules for making denser sequences or networks. When applied repeatedly, the denser and denser sequences are claimed to converge to a limit, which is the curve or surface that we want to represent. This book focusses on curves, because the theory for that is complete enough that a book claiming that our understanding is complete is exactly what is needed to stimulate research proving that claim wrong. Also because there are already a number of good books on subdivision surfaces. The way in which the limit curve relates to the polygon, and a lot of interesting properties of the limit curve, depend on the set of rules, and this book is about how one can deduce those properties from the set of rules, and how one can then use that understanding to construct rules which give the properties that one wants.

Mathematical Methods for Curves and Surfaces

Michael Floater,Tom Lyche,Marie-Laurence Mazure,Knut Morken,Larry L. Schumaker
Mathematical Methods for Curves and Surfaces Book PDF

Author : Michael Floater,Tom Lyche,Marie-Laurence Mazure,Knut Morken,Larry L. Schumaker
Publisher : Springer
Page : 511 pages
File Size : 54,6 Mb
Release : 2014-02-03
Category : Computers
ISBN : 9783642543821

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Mathematical Methods for Curves and Surfaces by Michael Floater,Tom Lyche,Marie-Laurence Mazure,Knut Morken,Larry L. Schumaker Pdf

This volume constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2012, held in Oslo, Norway, in June/July 2012. The 28 revised full papers presented were carefully reviewed and selected from 135 submissions. The topics range from mathematical analysis of various methods to practical implementation on modern graphics processing units. The papers reflect the newest developments in these fields and also point to the latest literature.

Subdivision Methods for Geometric Design

Joe Warren,Joseph D. Warren,Henrik Weimer
Subdivision Methods for Geometric Design Book PDF

Author : Joe Warren,Joseph D. Warren,Henrik Weimer
Publisher : Morgan Kaufmann
Page : 326 pages
File Size : 48,6 Mb
Release : 2002
Category : Art
ISBN : 1558604464

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Subdivision Methods for Geometric Design by Joe Warren,Joseph D. Warren,Henrik Weimer Pdf

Subdivision Methods for Geometric Design provides computer graphics students and designers with a comprehensive guide to subdivision methods, including the background information required to grasp underlying concepts, techniques for manipulating subdivision algorithms to achieve specific effects, and a wide array of digital resources on a dynamic companion Web site. Subdivision Methods promises to be a groundbreaking book, important for both advanced students and working professionals in the field of computer graphics.

Tutorials on Multiresolution in Geometric Modelling

Armin Iske,Ewald Quak,Michael S. Floater
Tutorials on Multiresolution in Geometric Modelling Book PDF

Author : Armin Iske,Ewald Quak,Michael S. Floater
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 40,7 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662043882

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Tutorials on Multiresolution in Geometric Modelling by Armin Iske,Ewald Quak,Michael S. Floater Pdf

This is the only textbook available on multiresolution methods in geometric modeling, a central topic in visualization, which is of great importance for industrial applications. Written in tutorial form, the book is introductory in character, and includes supporting exercises. Other supplementary material and software can be downloaded from the website www.ma.tum.de/primus 2001/.

Spline and Spline Wavelet Methods with Applications to Signal and Image Processing

Amir Z. Averbuch,Pekka Neittaanmaki,Valery A. Zheludev
Spline and Spline Wavelet Methods with Applications to Signal and Image Processing Book PDF

Author : Amir Z. Averbuch,Pekka Neittaanmaki,Valery A. Zheludev
Publisher : Springer Science & Business Media
Page : 496 pages
File Size : 48,9 Mb
Release : 2014-04-08
Category : Technology & Engineering
ISBN : 9789401789264

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Spline and Spline Wavelet Methods with Applications to Signal and Image Processing by Amir Z. Averbuch,Pekka Neittaanmaki,Valery A. Zheludev Pdf

This volume provides universal methodologies accompanied by Matlab software to manipulate numerous signal and image processing applications. It is done with discrete and polynomial periodic splines. Various contributions of splines to signal and image processing from a unified perspective are presented. This presentation is based on Zak transform and on Spline Harmonic Analysis (SHA) methodology. SHA combines approximation capabilities of splines with the computational efficiency of the Fast Fourier transform. SHA reduces the design of different spline types such as splines, spline wavelets (SW), wavelet frames (SWF) and wavelet packets (SWP) and their manipulations by simple operations. Digital filters, produced by wavelets design process, give birth to subdivision schemes. Subdivision schemes enable to perform fast explicit computation of splines' values at dyadic and triadic rational points. This is used for signals and images up sampling. In addition to the design of a diverse library of splines, SW, SWP and SWF, this book describes their applications to practical problems. The applications include up sampling, image denoising, recovery from blurred images, hydro-acoustic target detection, to name a few. The SWF are utilized for image restoration that was degraded by noise, blurring and loss of significant number of pixels. The book is accompanied by Matlab based software that demonstrates and implements all the presented algorithms. The book combines extensive theoretical exposure with detailed description of algorithms, applications and software. The Matlab software can be downloaded from http://extras.springer.com

Handbook of Variational Methods for Nonlinear Geometric Data

Philipp Grohs,Martin Holler,Andreas Weinmann
Handbook of Variational Methods for Nonlinear Geometric Data Book PDF

Author : Philipp Grohs,Martin Holler,Andreas Weinmann
Publisher : Springer Nature
Page : 701 pages
File Size : 42,9 Mb
Release : 2020-04-03
Category : Mathematics
ISBN : 9783030313517

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Handbook of Variational Methods for Nonlinear Geometric Data by Philipp Grohs,Martin Holler,Andreas Weinmann Pdf

This book covers different, current research directions in the context of variational methods for non-linear geometric data. Each chapter is authored by leading experts in the respective discipline and provides an introduction, an overview and a description of the current state of the art. Non-linear geometric data arises in various applications in science and engineering. Examples of nonlinear data spaces are diverse and include, for instance, nonlinear spaces of matrices, spaces of curves, shapes as well as manifolds of probability measures. Applications can be found in biology, medicine, product engineering, geography and computer vision for instance. Variational methods on the other hand have evolved to being amongst the most powerful tools for applied mathematics. They involve techniques from various branches of mathematics such as statistics, modeling, optimization, numerical mathematics and analysis. The vast majority of research on variational methods, however, is focused on data in linear spaces. Variational methods for non-linear data is currently an emerging research topic. As a result, and since such methods involve various branches of mathematics, there is a plethora of different, recent approaches dealing with different aspects of variational methods for nonlinear geometric data. Research results are rather scattered and appear in journals of different mathematical communities. The main purpose of the book is to account for that by providing, for the first time, a comprehensive collection of different research directions and existing approaches in this context. It is organized in a way that leading researchers from the different fields provide an introductory overview of recent research directions in their respective discipline. As such, the book is a unique reference work for both newcomers in the field of variational methods for non-linear geometric data, as well as for established experts that aim at to exploit new research directions or collaborations. Chapter 9 of this book is available open access under a CC BY 4.0 license at link.springer.com.

Multiscale, Nonlinear and Adaptive Approximation

Ronald DeVore,Angela Kunoth
Multiscale Nonlinear and Adaptive Approximation Book PDF

Author : Ronald DeVore,Angela Kunoth
Publisher : Springer Science & Business Media
Page : 660 pages
File Size : 47,7 Mb
Release : 2009-09-16
Category : Mathematics
ISBN : 9783642034138

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Multiscale, Nonlinear and Adaptive Approximation by Ronald DeVore,Angela Kunoth Pdf

The book of invited articles offers a collection of high-quality papers in selected and highly topical areas of Applied and Numerical Mathematics and Approximation Theory which have some connection to Wolfgang Dahmen's scientific work. On the occasion of his 60th birthday, leading experts have contributed survey and research papers in the areas of Nonlinear Approximation Theory, Numerical Analysis of Partial Differential and Integral Equations, Computer-Aided Geometric Design, and Learning Theory. The main focus and common theme of all the articles in this volume is the mathematics building the foundation for most efficient numerical algorithms for simulating complex phenomena.

Subdivision Surfaces

Jörg Peters,Ulrich Reif
Subdivision Surfaces Book PDF

Author : Jörg Peters,Ulrich Reif
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 55,8 Mb
Release : 2008-05-07
Category : Computers
ISBN : 9783540764052

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Subdivision Surfaces by Jörg Peters,Ulrich Reif Pdf

Since their first appearance in 1974, subdivision algorithms for generating surfaces of arbitrary topology have gained widespread popularity in computer graphics and are being evaluated in engineering applications. This development was complemented by ongoing efforts to develop appropriate mathematical tools for a thorough analysis, and today, many of the fascinating properties of subdivision are well understood. This book summarizes the current knowledge on the subject. The focus of the book is on the development of a comprehensive mathematical theory, and less on algorithmic aspects. It is intended to serve researchers and engineers - both new to the beauty of the subject - as well as experts, academic teachers and graduate students or, in short, anybody who is interested in the foundations of this flourishing branch of applied geometry.

Issues in Computer Programming: 2013 Edition

Anonim
Issues in Computer Programming 2013 Edition Book PDF

Author : Anonim
Publisher : ScholarlyEditions
Page : 536 pages
File Size : 50,5 Mb
Release : 2013-05-01
Category : Computers
ISBN : 9781490106427

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Issues in Computer Programming: 2013 Edition by Anonim Pdf

Issues in Computer Programming / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Computer Simulation. The editors have built Issues in Computer Programming: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Computer Simulation in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Computer Programming: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Approximation Theory XVI

Gregory E. Fasshauer,Marian Neamtu,Larry L. Schumaker
Approximation Theory XVI Book PDF

Author : Gregory E. Fasshauer,Marian Neamtu,Larry L. Schumaker
Publisher : Springer Nature
Page : 256 pages
File Size : 48,6 Mb
Release : 2021-01-04
Category : Mathematics
ISBN : 9783030574642

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Approximation Theory XVI by Gregory E. Fasshauer,Marian Neamtu,Larry L. Schumaker Pdf

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.

Advanced Methods for Processing and Visualizing the Renewable Energy

Samsul Ariffin Abdul Karim,Nordin Saad,Ramani Kannan
Advanced Methods for Processing and Visualizing the Renewable Energy Book PDF

Author : Samsul Ariffin Abdul Karim,Nordin Saad,Ramani Kannan
Publisher : Springer Nature
Page : 157 pages
File Size : 41,7 Mb
Release : 2020-10-21
Category : Technology & Engineering
ISBN : 9789811586064

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Advanced Methods for Processing and Visualizing the Renewable Energy by Samsul Ariffin Abdul Karim,Nordin Saad,Ramani Kannan Pdf

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.

Foundations of Computational Mathematics, Hong Kong 2008

Felipe Cucker,Allan Pinkus,Michael J. Todd
Foundations of Computational Mathematics Hong Kong 2008 Book PDF

Author : Felipe Cucker,Allan Pinkus,Michael J. Todd
Publisher : Cambridge University Press
Page : 287 pages
File Size : 51,5 Mb
Release : 2009-07-02
Category : Mathematics
ISBN : 9780521739702

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Foundations of Computational Mathematics, Hong Kong 2008 by Felipe Cucker,Allan Pinkus,Michael J. Todd Pdf

Surveys and summaries of the latest research in numerical analysis, optimization, computer algebra and scientific computing.

Mathematical Methods in Computer Aided Geometric Design

Tom Lyche,Larry L. Schumaker
Mathematical Methods in Computer Aided Geometric Design Book PDF

Author : Tom Lyche,Larry L. Schumaker
Publisher : Academic Press
Page : 628 pages
File Size : 50,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483257808

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Mathematical Methods in Computer Aided Geometric Design by Tom Lyche,Larry L. Schumaker Pdf

Mathematical Methods in Computer Aided Geometric Design covers the proceedings of the 1988 International Conference by the same title, held at the University of Oslo, Norway. This text contains papers based on the survey lectures, along with 33 full-length research papers. This book is composed of 39 chapters and begins with surveys of scattered data interpolation, spline elastic manifolds, geometry processing, the properties of Bézier curves, and Gröbner basis methods for multivariate splines. The next chapters deal with the principles of box splines, smooth piecewise quadric surfaces, some applications of hierarchical segmentations of algebraic curves, nonlinear parameters of splines, and algebraic aspects of geometric continuity. These topics are followed by discussions of shape preserving representations, box-spline surfaces, subdivision algorithm parallelization, interpolation systems, and the finite element method. Other chapters explore the concept and applications of uniform bivariate hermite interpolation, an algorithm for smooth interpolation, and the three B-spline constructions. The concluding chapters consider the three B-spline constructions, design tools for shaping spline models, approximation of surfaces constrained by a differential equation, and a general subdivision theorem for Bézier triangles. This book will prove useful to mathematicians and advance mathematics students.

Advances in Multiresolution for Geometric Modelling

Neil Dodgson,Michael S. Floater,Malcolm Sabin
Advances in Multiresolution for Geometric Modelling Book PDF

Author : Neil Dodgson,Michael S. Floater,Malcolm Sabin
Publisher : Springer Science & Business Media
Page : 456 pages
File Size : 51,7 Mb
Release : 2004-09-21
Category : Mathematics
ISBN : 3540214623

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Advances in Multiresolution for Geometric Modelling by Neil Dodgson,Michael S. Floater,Malcolm Sabin Pdf

Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compression, and digital transmission of 3D geometric objects. This book marks the culmination of the four-year EU-funded research project, Multiresolution in Geometric Modelling (MINGLE). The book contains seven survey papers, providing a detailed overview of recent advances in the various fields within multiresolution modelling, and sixteen additional research papers. Each of the seven parts of the book starts with a survey paper, followed by the associated research papers in that area. All papers were originally presented at the MINGLE 2003 workshop held at Emmanuel College, Cambridge, UK, 9-11 September 2003.

Curves and Surfaces

Jean-Daniel Boissonnat,Patrick Chenin,Albert Cohen,Christian Gout,Tom Lyche,Marie-Laurence Mazure,Larry Schumaker
Curves and Surfaces Book PDF

Author : Jean-Daniel Boissonnat,Patrick Chenin,Albert Cohen,Christian Gout,Tom Lyche,Marie-Laurence Mazure,Larry Schumaker
Publisher : Springer
Page : 748 pages
File Size : 46,5 Mb
Release : 2012-01-06
Category : Computers
ISBN : 9783642274138

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Curves and Surfaces by Jean-Daniel Boissonnat,Patrick Chenin,Albert Cohen,Christian Gout,Tom Lyche,Marie-Laurence Mazure,Larry Schumaker Pdf

This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Curves and Surfaces, held in Avignon, in June 2010. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 39 revised full papers presented together with 9 invited talks were carefully reviewed and selected from 114 talks presented at the conference. The topics addressed by the papers range from mathematical foundations to practical implementation on modern graphics processing units and address a wide area of topics such as computer-aided geometric design, computer graphics and visualisation, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, scattered data processing and learning theory and subdivision, wavelets and multi-resolution methods.