Interactive Curves And Surfaces

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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 : 55,7 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.

Curves and Surfaces in Geometric Modeling

Jean H. Gallier
Curves and Surfaces in Geometric Modeling Book PDF

Author : Jean H. Gallier
Publisher : Morgan Kaufmann
Page : 512 pages
File Size : 47,9 Mb
Release : 2000
Category : Computers
ISBN : 1558605991

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Curves and Surfaces in Geometric Modeling by Jean H. Gallier Pdf

"Curves and Surfaces in Geometric Modeling: Theory and Algorithms offers a theoretically unifying understanding of polynomial curves and surfaces as well as an effective approach to implementation that you can apply to your own work as a graduate student, scientist, or practitioner." "The focus here is on blossoming - the process of converting a polynomial to its polar form - as a natural, purely geometric explanation of the behavior of curves and surfaces. This insight is important for more than just its theoretical elegance - the author demonstrates the value of blossoming as a practical algorithmic tool for generating and manipulating curves and surfaces that meet many different criteria. You'll learn to use this and other related techniques drawn from affine geometry for computing and adjusting control points, deriving the continuity conditions for splines, creating subdivision surfaces, and more." "It will be an essential acquisition for readers in many different areas, including computer graphics and animation, robotics, virtual reality, geometric modeling and design, medical imaging, computer vision, and motion planning."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved

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 : 40,9 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 Farin
Curves and Surfaces for Computer Aided Geometric Design Book PDF

Author : Gerald Farin
Publisher : Elsevier
Page : 473 pages
File Size : 41,6 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

Interactive Curve Modeling

Muhammad Sarfraz
Interactive Curve Modeling Book PDF

Author : Muhammad Sarfraz
Publisher : Springer Science & Business Media
Page : 350 pages
File Size : 46,7 Mb
Release : 2007-10-24
Category : Computers
ISBN : 9781846288715

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Interactive Curve Modeling by Muhammad Sarfraz Pdf

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.

Modeling of Curves and Surfaces in CAD/CAM

Mamoru Hosaka
Modeling of Curves and Surfaces in CAD CAM Book PDF

Author : Mamoru Hosaka
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642765988

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Modeling of Curves and Surfaces in CAD/CAM by Mamoru Hosaka Pdf

1 Aims and Features of This Book The contents of t. his book were originally planned t. o be included in a book en titled Geometric lIIodeling and CAD/CAM to be written by M. Hosaka and F. Kimura, but since the draft. of my part of the book was finished much earlier than Kimura's, we decided to publish this part separately at first. In it, geometrically oriented basic methods and tools used for analysis and synthesis of curves and surfaces used in CAD/CAM, various expressions and manipulations of free-form surface patches and their connection, interference as well as their qualit. y eval uation are treated. They are important elements and procedures of geometric models. And construction and utilization of geometric models which include free-form surfaces are explained in the application examples, in which the meth ods and the techniques described in this book were used. In the succeeding book which Kimura is to write, advanced topics such as data structures of geometric models, non-manifold models, geometric inference as well as tolerance problems and product models, process planning and so on are to be included. Conse quently, the title of this book is changed to Modeling of Curves and Surfaces in CAD/CAM. Features of this book are the following. Though there are excellent text books in the same field such as G. Farin's Curves and Surfaces for CAD /CAM[l] and C. M.

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 : 41,7 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.

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 : 336 pages
File Size : 47,8 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.

An Introduction to NURBS

David F. Rogers
An Introduction to NURBS Book PDF

Author : David F. Rogers
Publisher : Morgan Kaufmann
Page : 344 pages
File Size : 40,6 Mb
Release : 2001
Category : Computers
ISBN : 9781558606692

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An Introduction to NURBS by David F. Rogers Pdf

NURBS (Non-uniform Rational B-Splines) are the computer graphics industry standard for curve and surface description. They are now incorporated into all standard computer-aided design and drafting programs (for instance, Autocad). They are also extensively used in all aspects of computer graphics including much of the modeling used for special effects in film and animation, consumer products, robot control, and automobile and aircraft design. So, the topic is particularly important at this time because NURBS are really at the peak of interest as applied to computer graphics and CAD of all kind.

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 : 40,7 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.

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 : 52,7 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.

Mathematical Methods for Curves and Surfaces

Morten Dæhlen,Michael S. Floater,Tom Lyche,Jean-Louis Merrien,Knut Morken,Larry L. Schumaker
Mathematical Methods for Curves and Surfaces Book PDF

Author : Morten Dæhlen,Michael S. Floater,Tom Lyche,Jean-Louis Merrien,Knut Morken,Larry L. Schumaker
Publisher : Springer
Page : 446 pages
File Size : 45,6 Mb
Release : 2010-02-12
Category : Computers
ISBN : 9783642116209

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Mathematical Methods for Curves and Surfaces by Morten Dæhlen,Michael S. Floater,Tom Lyche,Jean-Louis Merrien,Knut Morken,Larry L. Schumaker Pdf

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.

Modeling of Curves and Surfaces with MATLAB®

Vladimir Rovenski
Modeling of Curves and Surfaces with MATLAB Book PDF

Author : Vladimir Rovenski
Publisher : Springer Science & Business Media
Page : 463 pages
File Size : 52,8 Mb
Release : 2010-06-10
Category : Mathematics
ISBN : 9780387712772

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Modeling of Curves and Surfaces with MATLAB® by Vladimir Rovenski Pdf

This text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB® including 2D and 3D animation of geometric images with shadows and colors and transformations using matrices. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.

Differential Geometry of Curves and Surfaces

Thomas F. Banchoff,Stephen T. Lovett
Differential Geometry of Curves and Surfaces Book PDF

Author : Thomas F. Banchoff,Stephen T. Lovett
Publisher : CRC Press
Page : 431 pages
File Size : 55,6 Mb
Release : 2016-04-05
Category : Mathematics
ISBN : 9781482247374

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Differential Geometry of Curves and Surfaces by Thomas F. Banchoff,Stephen T. Lovett Pdf

Differential Geometry of Curves and Surfaces, Second Edition takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students' geometric intuition through interactive computer graphics applets suppor

Differential Geometry of Curves and Surfaces

Thomas F. Banchoff,Stephen Lovett
Differential Geometry of Curves and Surfaces Book PDF

Author : Thomas F. Banchoff,Stephen Lovett
Publisher : CRC Press
Page : 371 pages
File Size : 40,7 Mb
Release : 2022-08-05
Category : Mathematics
ISBN : 9781000597752

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Differential Geometry of Curves and Surfaces by Thomas F. Banchoff,Stephen Lovett Pdf

Through two previous editions, the third edition of this popular and intriguing text takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students’ geometric intuition through interactive graphics applets. Applets are presented in Maple workbook format, which readers can access using the free Maple Player. The book explains the reasons for various definitions while the interactive applets offer motivation for definitions, allowing students to explore examples further, and give a visual explanation of complicated theorems. The ability to change parametric curves and parametrized surfaces in an applet lets students probe the concepts far beyond what static text permits. Investigative project ideas promote student research. At users of the previous editions' request, this third edition offers a broader list of exercises. More elementary exercises are added and some challenging problems are moved later in exercise sets to assure more graduated progress. The authors also add hints to motivate students grappling with the more difficult exercises. This student-friendly and readable approach offers additional examples, well-placed to assist student comprehension. In the presentation of the Gauss-Bonnet Theorem, the authors provide more intuition and stepping-stones to help students grasp phenomena behind it. Also, the concept of a homeomorphism is new to students even though it is a key theoretical component of the definition of a regular surface. Providing more examples show students how to prove certain functions are homeomorphisms.