Shape Preserving Representations in Computer-aided Geometric Design

Shape Preserving Representations in Computer-aided Geometric Design

Author: Juan M. Peña

Publisher: Nova Publishers

Published: 1999

Total Pages: 258

ISBN-13: 9781560726913

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Presents recent important advances in the field of computer-aided geometric design in the study of shape-preserving representations of curves and surfaces. The volume's dozen papers are organized into five sections on: shape preserving representations of curves, optimality of B-bases, blossoming and geometric approach, shape preserving representations of surfaces, and trigonometric bases for the representation of curves and surfaces. The index spans the admissible (in design algorithms for spline curves) to the weak Chebyshev space and system. Contributors hail from six European countries. Annotation copyrighted by Book News, Inc., Portland, OR


Mathematical Methods in Computer Aided Geometric Design

Mathematical Methods in Computer Aided Geometric Design

Author: Tom Lyche

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 632

ISBN-13: 1483257800

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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.


Methods of Shape-preserving Spline Approximation

Methods of Shape-preserving Spline Approximation

Author: Boris I. Kvasov

Publisher: World Scientific

Published: 2000

Total Pages: 360

ISBN-13: 9789810240103

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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.


Mathematical Methods for Curves and Surfaces

Mathematical Methods for Curves and Surfaces

Author: Morten Dæhlen

Publisher: Springer Science & Business Media

Published: 2010-03-02

Total Pages: 453

ISBN-13: 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.


Computation, Cryptography, and Network Security

Computation, Cryptography, and Network Security

Author: Nicholas J. Daras

Publisher: Springer

Published: 2015-09-16

Total Pages: 754

ISBN-13: 3319182757

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Analysis, assessment, and data management are core competencies for operation research analysts. This volume addresses a number of issues and developed methods for improving those skills. It is an outgrowth of a conference held in April 2013 at the Hellenic Military Academy, and brings together a broad variety of mathematical methods and theories with several applications. It discusses directions and pursuits of scientists that pertain to engineering sciences. It is also presents the theoretical background required for algorithms and techniques applied to a large variety of concrete problems. A number of open questions as well as new future areas are also highlighted. This book will appeal to operations research analysts, engineers, community decision makers, academics, the military community, practitioners sharing the current “state-of-the-art,” and analysts from coalition partners. Topics covered include Operations Research, Games and Control Theory, Computational Number Theory and Information Security, Scientific Computing and Applications, Statistical Modeling and Applications, Systems of Monitoring and Spatial Analysis.


Total Positivity and Its Applications

Total Positivity and Its Applications

Author: Mariano Gasca

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 510

ISBN-13: 9401586748

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This volume contains both invited lectures and contributed talks presented at the meeting on Total Positivity and its Applications held at the guest house of the University of Zaragoza in Jaca, Spain, during the week of September 26-30, 1994. There were present at the meeting almost fifty researchers from fourteen countries. Their interest in thesubject of Total Positivity made for a stimulating and fruitful exchange of scientific information. Interest to participate in the meeting exceeded our expectations. Regrettably, budgetary constraints forced us to restriet the number of attendees. Professor S. Karlin, of Stanford University, who planned to attend the meeting had to cancel his participation at the last moment. Nonetheless, his almost universal spiritual presence energized and inspired all of us in Jaca. More than anyone, he influenced the content, style and quality of the presentations given at the meeting. Every article in these Proceedings (except some by Karlin hirnself) references his influential treatise Total Positivity, Volume I, Stanford University Press, 1968. Since its appearance, this book has intrigued and inspired the minds of many researchers (one of us, in his formative years, read the galley proofs and the other of us first doubted its value but then later became its totally committed disciple). All of us present at the meeting encourage Professor Karlin to return to the task of completing the anxiously awaited Volume 11 of Total Positivity.


Interactive Curve Modeling

Interactive Curve Modeling

Author: Muhammad Sarfraz

Publisher: Springer Science & Business Media

Published: 2007-10-24

Total Pages: 350

ISBN-13: 1846288711

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This book covers Curve Modeling with solutions to real life problems relating to Computer Graphics, Vision, Image Processing, Geometric Modeling and CAD/CAM. Chapters deal with basic concepts, curve design techniques and their use to various applications and a wide range of problems with their automated solutions through computers. The book provides an invaluable resource which focuses on interdisciplinary methods and affiliates up-to-date methodologies. It aims to stimulate provide a source where the reader can find the latest developments in the field including a variety of techniques, applications, and systems necessary for solving real life problems.


Geometric Modelling

Geometric Modelling

Author: R. Albrecht

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 360

ISBN-13: 3709175844

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Experts from university and industry are presenting new technologies for solving industrial problems and giving many important and practicable impulses for new research. Topics explored include NURBS, product engineering, object oriented modelling, solid modelling, surface interrogation, feature modelling, variational design, scattered data algorithms, geometry processing, blending methods, smoothing and fairing algorithms, spline conversion. This collection of 24 articles gives a state-of-the-art survey of the relevant problems and issues in geometric modelling.


Advances in Future Manufacturing Engineering

Advances in Future Manufacturing Engineering

Author: Guohui Yang

Publisher: CRC Press

Published: 2015-06-11

Total Pages: 542

ISBN-13: 1315684624

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The International Conference on Future Manufacturing Engineering (ICFME 2014) was held in Hong Kong, December 10-11, 2014. It gathered academics, industry managers and experts, manufacturing engineers, university students all interested or proficient in the field of manufacturing engineering, including research, design and development of systems, p


Multivariate Approximation and Applications

Multivariate Approximation and Applications

Author: N. Dyn

Publisher: Cambridge University Press

Published: 2001-05-17

Total Pages: 300

ISBN-13: 0521800234

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Approximation theory in the multivariate setting has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications. Each article takes the reader to the forefront of research and ends with a comprehensive bibliography.