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Subdivision Surface Modeling Technology

Subdivision Surface Modeling Technology
Author: Wenhe Liao
Publisher: Springer
Total Pages: 317
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.


NURB Curves and Surfaces

NURB Curves and Surfaces
Author: Gerald E. Farin
Publisher: A K Peters/CRC Press
Total Pages: 256
Release: 1995
Genre: Computers
ISBN:

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NURBS (Non-uniform rational B-splines) have become a de facto standard for geometric definition in CAD/CAM and computer graphics. This book covers NURBS from their geometric beginnings to their industrial applications. The text begins with an introduction to projective geometry for which only an elementary background in linear algebra is necessary. Conics are then treated in terms of projective geometry as well as rational quadratic NURBS. A similar treatment is given to the general case of NURBS curves and surfaces. Each chapter concludes with a set of problems.


Curves and Surfaces for Computer Graphics

Curves and Surfaces for Computer Graphics
Author: David Salomon
Publisher: Springer Science & Business Media
Total Pages: 466
Release: 2007-03-20
Genre: Computers
ISBN: 0387284524

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Requires only a basic knowledge of mathematics and is geared toward the general educated specialists. Includes a gallery of color images and Mathematica code listings.


Mathematical Methods for Curves and Surfaces

Mathematical Methods for Curves and Surfaces
Author: Morten Dæhlen
Publisher: Springer Science & Business Media
Total Pages: 453
Release: 2010-03-02
Genre: Computers
ISBN: 3642116191

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This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Mathematical Methods for Curves and Surfaces, MMCS 2008, held in Tønsberg, Norway, in June/July 2008. The 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. The topics addressed by the papers range from mathematical analysis of various methods to practical implementation on modern graphics processing units.


Mathematical Methods in Computer Aided Geometric Design II

Mathematical Methods in Computer Aided Geometric Design II
Author: Tom Lyche
Publisher: Academic Press
Total Pages: 649
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483257983

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Mathematical Methods in Computer Aided Geometric Design II covers the proceedings of the 1991 International Conference on Curves, Surfaces, CAGD, and Image Processing, held at Biri, Norway. This book contains 48 chapters that include the topics of blossoming, cyclides, data fitting and interpolation, and finding intersections of curves and surfaces. Considerable chapters explore the geometric continuity, geometrical optics, image and signal processing, and modeling of geological structures. The remaining chapters discuss the principles of multiresolution analysis, NURBS, offsets, radial basis functions, rational splines, robotics, spline and Bézier methods for curve and surface modeling, subdivision, terrain modeling, and wavelets. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.


Iterative Methods for Solving Nonlinear Equations and Systems

Iterative Methods for Solving Nonlinear Equations and Systems
Author: Juan R. Torregrosa
Publisher: MDPI
Total Pages: 494
Release: 2019-12-06
Genre: Mathematics
ISBN: 3039219405

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Solving nonlinear equations in Banach spaces (real or complex nonlinear equations, nonlinear systems, and nonlinear matrix equations, among others), is a non-trivial task that involves many areas of science and technology. Usually the solution is not directly affordable and require an approach using iterative algorithms. This Special Issue focuses mainly on the design, analysis of convergence, and stability of new schemes for solving nonlinear problems and their application to practical problems. Included papers study the following topics: Methods for finding simple or multiple roots either with or without derivatives, iterative methods for approximating different generalized inverses, real or complex dynamics associated to the rational functions resulting from the application of an iterative method on a polynomial. Additionally, the analysis of the convergence has been carried out by means of different sufficient conditions assuring the local, semilocal, or global convergence. This Special issue has allowed us to present the latest research results in the area of iterative processes for solving nonlinear equations as well as systems and matrix equations. In addition to the theoretical papers, several manuscripts on signal processing, nonlinear integral equations, or partial differential equations, reveal the connection between iterative methods and other branches of science and engineering.


Curves and Surfaces

Curves and Surfaces
Author: Pierre-Jean Laurent
Publisher: CRC Press
Total Pages: 490
Release: 1994-07-15
Genre: Computers
ISBN: 1439863598

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This volume documents the results and presentations, related to aspects of geometric design, 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. From the table of contents: - Object Oriented Spline Software - An Int


Mathematical Methods for Curves and Surfaces

Mathematical Methods for Curves and Surfaces
Author: Michael Floater
Publisher: Springer
Total Pages: 519
Release: 2014-02-03
Genre: Computers
ISBN: 3642543820

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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.