Curves And Surfaces In Computer Aided Geometric Design

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Curves and Surfaces in Computer Aided Geometric Design

Fujio Yamaguchi
Curves and Surfaces in Computer Aided Geometric Design Book PDF

Author : Fujio Yamaguchi
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642489525

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Curves and Surfaces in Computer Aided Geometric Design by Fujio Yamaguchi Pdf

This book contains various types of mathematical descriptions of curves and surfaces, such as Ferguson, Coons, Spline, Bézier and B-spline curves and surfaces. The materials are classified and arranged in a unified way so that beginners can easily understand the whole spectrum of parametric curves and surfaces. This book will be useful to many researchers, designers, teachers, and students who are working on curves and surfaces. The book can be used as a textbook in computer aided design classes.

Curves and Surfaces for CAGD

Gerald E. Farin
Curves and Surfaces for CAGD Book PDF

Author : Gerald E. Farin
Publisher : Morgan Kaufmann
Page : 522 pages
File Size : 53,6 Mb
Release : 2002
Category : Computers
ISBN : 9781558607378

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Curves and Surfaces for CAGD by Gerald E. Farin Pdf

Preface -- Chapter 1 P. B̌ezier: How a Simple System Was Born -- Chapter 2 Introductory Material -- Chapter 3 Linear Interpolation -- Chapter 4 The de Casteljau Algorithm -- Chapter 5 The Bernstein Form of a B̌ezier Curve -- Chapter 6 B̌ezier Curve Topics -- Chapter 7 Polynomial Curve Constructions -- Chapter 8 B-Spline Curves -- Chapter 9 Constructing Spline Curves -- Chapter 10 W. Boehm: Differential Geometry I -- Chapter 11 Geometric Continuity -- Chapter 12 ConicSections -- Chapter 13 Rational B̌ezier and B-Spline Curves -- Chapter 14 Tensor Product Patches -- Chapter 15 Constructing Polynomial Patches -- Chapter 16 Composite Surfaces -- Chapter 17 B̌ezier Triangles -- Chapter 18 Practical Aspects of B̌ezier Triangles -- Chapter 19 W. Boehm: Differential Geometry II -- Chapter 20 GeometricContinuityforSurfaces -- Chapter 21 Surfaces with Arbitrary Topology -- Chapter 22 Coons Patches -- Chapter 23 Shape -- Chapter 24 Evaluation of Some Methods -- Appendix A Quick Reference of Curve ...

Curves and Surfaces for Computer-aided Geometric Design

Gerald E. Farin
Curves and Surfaces for Computer aided Geometric Design Book PDF

Author : Gerald E. Farin
Publisher : Unknown
Page : 460 pages
File Size : 52,8 Mb
Release : 1997
Category : Computers
ISBN : UOM:39015040985619

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Curves and Surfaces for Computer-aided Geometric Design by Gerald E. Farin Pdf

Computer disk contains: "data sets, as well as all of the C routines found in the book."

Curves and Surfaces for Computer-Aided Geometric Design

Gerald Farin
Curves and Surfaces for Computer Aided Geometric Design Book PDF

Author : Gerald Farin
Publisher : Elsevier
Page : 473 pages
File Size : 44,6 Mb
Release : 2014-06-28
Category : Computers
ISBN : 9781483296999

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Curves and Surfaces for Computer-Aided Geometric Design by Gerald Farin Pdf

A leading expert in CAGD, Gerald Farin covers the representation, manipulation, and evaluation of geometric shapes in this the Third Edition of Curves and Surfaces for Computer Aided Geometric Design. The book offers an introduction to the field that emphasizes Bernstein-Bezier methods and presents subjects in an informal, readable style, making this an ideal text for an introductory course at the advanced undergraduate or graduate level. The Third Edition includes a new chapter on Topology, offers new exercises and sections within most chapters, combines the material on Geometric Continuity into one chapter, and updates existing materials and references. Implementation techniques are addressed for practitioners by the inclusion of new C programs for many of the fundamental algorithms. The C programs are available on a disk included with the text. System Requirements: IBM PC or compatibles, DOS version 2.0 or higher. Covers representation, manipulation, and evaluation of geometric shapes Emphasizes Bernstein-Bezier methods Written in an informal, easy-to-read style

Basics of Computer Aided Geometric Design

M. Ganesh
Basics of Computer Aided Geometric Design Book PDF

Author : M. Ganesh
Publisher : I. K. International Pvt Ltd
Page : 179 pages
File Size : 51,9 Mb
Release : 2011-10-06
Category : Electronic
ISBN : 9788189866761

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Basics of Computer Aided Geometric Design by M. Ganesh Pdf

The aim of the book is to provide a good foundation of Computer-Aided Geometric Design to students who are doing under-graduate courses in engineering, especially Mechanical Engineering, Computer Science, Geometric Modeling and CAD/CAM. This book is organized in two parts. Part-I deals with the basics of differential geometry of curves and surface, a good understanding of which is essential prerequisite to what follows in the Part-II. Part-II is devoted entirely to the geometric designs of curves and surfaces, which are used in the development of computer graphics and profiles and hulls of ships, aircraft wings, satellites (to name a few large scale products) as also telephones, mobile phones, fancy flower vases (to name a few small-scale products). Concepts introduced are illustrated with examples, which are completely worked out. A list of problems is also given at the end of each chapter

Handbook of Computer Aided Geometric Design

G. Farin,J. Hoschek,M.-S. Kim
Handbook of Computer Aided Geometric Design Book PDF

Author : G. Farin,J. Hoschek,M.-S. Kim
Publisher : Elsevier
Page : 849 pages
File Size : 52,7 Mb
Release : 2002-08-13
Category : Computers
ISBN : 9780444511041

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Handbook of Computer Aided Geometric Design by G. Farin,J. Hoschek,M.-S. Kim Pdf

This book provides a comprehensive coverage of the fields Geometric Modeling, Computer-Aided Design, and Scientific Visualization, or Computer-Aided Geometric Design. Leading international experts have contributed, thus creating a one-of-a-kind collection of authoritative articles. There are chapters outlining basic theory in tutorial style, as well as application-oriented articles. Aspects which are covered include: Historical outline Curve and surface methods Scientific Visualization Implicit methods Reverse engineering. This book is meant to be a reference text for researchers in the field as well as an introduction to graduate students wishing to get some exposure to this subject.

Computer Aided Geometric Design

Robert E. Barnhill,Richard F. Riesenfeld
Computer Aided Geometric Design Book PDF

Author : Robert E. Barnhill,Richard F. Riesenfeld
Publisher : Academic Press
Page : 337 pages
File Size : 44,6 Mb
Release : 2014-05-10
Category : Technology & Engineering
ISBN : 9781483268484

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Computer Aided Geometric Design by Robert E. Barnhill,Richard F. Riesenfeld Pdf

Computer Aided Geometric Design covers the proceedings of the First International Conference on Computer Aided Geometric Design, held at the University of Utah on March 18-21, 1974. This book is composed of 15 chapters and starts with reviews of the properties of surface patch equation and the use of computers in geometrical design. The next chapters deal with the principles of smooth interpolation over triangles and without twist constraints, as well as the graphical representation of surfaces over triangles and rectangles. These topics are followed by discussions of the B-spline curves and surfaces; mathematical and practical possibilities of UNISURF; nonlinear splines; and some piecewise polynomial alternatives to splines under tension. Other chapters explore the smooth parametric surfaces, the space curve as a folded edge, and the interactive computer graphics application of the parametric bi-cubic surface to engineering design problems. The final chapters look into the three-dimensional human-machine communication and a class of local interpolating splines. This book will prove useful to design engineers.

Designing Fair Curves and Surfaces

Nickolas S. Sapidis
Designing Fair Curves and Surfaces Book PDF

Author : Nickolas S. Sapidis
Publisher : SIAM
Page : 330 pages
File Size : 49,8 Mb
Release : 1994-01-01
Category : Computers
ISBN : 1611971527

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Designing Fair Curves and Surfaces by Nickolas S. Sapidis Pdf

This state-of-the-art study of the techniques used for designing curves and surfaces for computer-aided design applications focuses on the principle that fair shapes are always free of unessential features and are simple in design. The authors define fairness mathematically, demonstrate how newly developed curve and surface schemes guarantee fairness, and assist the user in identifying and removing shape aberrations in a surface model without destroying the principal shape characteristics of the model. Aesthetic aspects of geometric modeling are of vital importance in industrial design and modeling, particularly in the automobile and aerospace industries. Any engineer working in computer-aided design, computer-aided manufacturing, or computer-aided engineering will want to add this volume to his or her library. Researchers who have a familiarity with basic techniques in computer-aided graphic design and some knowledge of differential geometry will find this book a helpful reference. It is essential reading for statisticians working on approximation or smoothing of data with mathematical curves or surfaces.

Curves and Surfaces for Computer Graphics

David Salomon
Curves and Surfaces for Computer Graphics Book PDF

Author : David Salomon
Publisher : Springer Science & Business Media
Page : 466 pages
File Size : 46,9 Mb
Release : 2007-03-20
Category : Computers
ISBN : 9780387284521

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Curves and Surfaces for Computer Graphics by David Salomon Pdf

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.

Interactive Curves and Surfaces

Alyn Rockwood,Peter Chambers
Interactive Curves and Surfaces Book PDF

Author : Alyn Rockwood,Peter Chambers
Publisher : Morgan Kaufmann
Page : 232 pages
File Size : 49,8 Mb
Release : 1996-08
Category : Computers
ISBN : 1558604057

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Interactive Curves and Surfaces by Alyn Rockwood,Peter Chambers Pdf

The growing importance of animation and 3D design has caused computer-aided geometric design (CAGD) to be of interest to a wide audience of programmers and designers. This interactive software/book tutorial teaches fundamental CAGD concepts and discusses the growing number of applications in such areas as geological modeling, molecular modeling, commercial advertising, and animation. Using interactive examples and animations to illustrate the mathematical concepts, this hands-on multimedia tutorial enables users without a substantial mathematical background to quickly gain intuition about CAGD. Interactive Curves and Surfaces guides you in Learning the uses of CAGD as it is applied in computer graphics and engineering. Creating curved lines and surfaces using Bezier curves, B-Splines, and parametric surface patches. Understanding the mathematical tools behind the generation of these objects, and the development of computer-based CAGD algorithms. Experimenting with powerful interactive test benches to explore the behavior and characteristics of the most popular CAGD curves. Application oriented readers will find this animated tutorial presentation more accessible than the standard formal texts on the subject.

Shape Preserving Representations in Computer-aided Geometric Design

Juan M. Peña
Shape Preserving Representations in Computer aided Geometric Design Book PDF

Author : Juan M. Peña
Publisher : Nova Publishers
Page : 258 pages
File Size : 46,7 Mb
Release : 1999
Category : Computers
ISBN : 1560726911

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Shape Preserving Representations in Computer-aided Geometric Design by Juan M. Peña Pdf

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 II

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

Author : Tom Lyche,Larry L. Schumaker
Publisher : Academic Press
Page : 649 pages
File Size : 43,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483257983

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

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.

Fundamentals of Computer Aided Geometric Design

Josef Hoschek,Dieter Lasser
Fundamentals of Computer Aided Geometric Design Book PDF

Author : Josef Hoschek,Dieter Lasser
Publisher : A K Peters/CRC Press
Page : 752 pages
File Size : 55,9 Mb
Release : 1996-09-05
Category : Computers
ISBN : 1568810075

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Fundamentals of Computer Aided Geometric Design by Josef Hoschek,Dieter Lasser Pdf

A classic reference and text, this book introduces the foundations used to create an accurate computer screen image using mathematical tools. This comprehensive guide is a handbook for students and practitioners and includes an extensive bibliography for further study.

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 : 55,7 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.

Shape Interrogation for Computer Aided Design and Manufacturing

Nicholas M. Patrikalakis,Takashi Maekawa
Shape Interrogation for Computer Aided Design and Manufacturing Book PDF

Author : Nicholas M. Patrikalakis,Takashi Maekawa
Publisher : Springer Science & Business Media
Page : 428 pages
File Size : 42,5 Mb
Release : 2002-02-14
Category : Computers
ISBN : 3540424547

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Shape Interrogation for Computer Aided Design and Manufacturing by Nicholas M. Patrikalakis,Takashi Maekawa Pdf

Shape interrogation is the process of extraction of information from a geometric model. It is a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. The authors focus on shape interrogation of geometric models bounded by free-form surfaces. Free-form surfaces, also called sculptured surfaces, are widely used in the bodies of ships, automobiles and aircraft, which have both functionality and attractive shape requirements. Many electronic devices as well as consumer products are designed with aesthetic shapes, which involve free-form surfaces. This book provides the mathematical fundamentals as well as algorithms for various shape interrogation methods including nonlinear polynomial solvers, intersection problems, differential geometry of intersection curves, distance functions, curve and surface interrogation, umbilics and lines of curvature, geodesics, and offset curves and surfaces. This book will be of interest both to graduate students and professionals.