Computer Aided Geometric Design

Author : Robert E. Barnhill,Richard F. Riesenfeld
Publisher : Academic Press
Page : 337 pages
File Size : 49,6 Mb
Release : 2014-05-10
Category : Technology & Engineering
ISBN : 9781483268484

Get Book

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.

Author : G. Farin,J. Hoschek,M.-S. Kim
Publisher : Elsevier
Page : 849 pages
File Size : 42,6 Mb
Release : 2002-08-13
Category : Computers
ISBN : 9780444511041

Get Book

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.

Author : Fujio Yamaguchi
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642489525

Get Book

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.

Author : M. Ganesh
Publisher : I. K. International Pvt Ltd
Page : 179 pages
File Size : 50,6 Mb
Release : 2011-10-06
Category : Electronic
ISBN : 9788189866761

Get Book

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

Author : Gerald Farin,Dianne Hansford
Publisher : CRC Press
Page : 248 pages
File Size : 52,6 Mb
Release : 2000-10-25
Category : Computers
ISBN : 9781439864111

Get Book

The Essentials of CAGD by Gerald Farin,Dianne Hansford Pdf

Putting the G into CAGD, the authors provide a much-needed practical and basic introduction to computer-aided geometric design. This book will help readers understand and use the elements of computer-aided geometric design, curves and surfaces, without the mathematical baggage that is necessary only for more advanced work. Though only minimal background in mathematics is needed to understand the bookís concepts, the book covers an amazing array of topics such as Bezier and B-spline curves and their corresponding surfaces, subdivision surfaces, and NURBS (Non-Uniform Rational B-Splines). Also included are techniques such as interpolation and least squares methods.

Author : Nicholas M. Patrikalakis,Takashi Maekawa
Publisher : Springer Science & Business Media
Page : 428 pages
File Size : 47,9 Mb
Release : 2002-02-14
Category : Computers
ISBN : 3540424547

Get Book

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.

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

Get Book

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."

Author : Gerald Farin
Publisher : Elsevier
Page : 498 pages
File Size : 44,9 Mb
Release : 2014-06-28
Category : Mathematics
ISBN : 9781483296999

Get Book

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

Author : Gerald E. Farin
Publisher : Morgan Kaufmann
Page : 522 pages
File Size : 44,5 Mb
Release : 2002
Category : Computers
ISBN : 9781558607378

Get Book

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 ...

Author : Josef Hoschek,Dieter Lasser
Publisher : Unknown
Page : 727 pages
File Size : 55,8 Mb
Release : 1993-01-01
Category : Computer graphics
ISBN : 0867202831

Get Book

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

Author : Juan M. Peña
Publisher : Nova Publishers
Page : 258 pages
File Size : 47,7 Mb
Release : 1999
Category : Computers
ISBN : 1560726911

Get Book

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

Author : Nickolas S. Sapidis
Publisher : SIAM
Page : 330 pages
File Size : 43,7 Mb
Release : 1994-01-01
Category : Computers
ISBN : 1611971527

Get Book

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.

Author : Duncan Marsh
Publisher : Springer
Page : 350 pages
File Size : 41,9 Mb
Release : 2006-03-30
Category : Computers
ISBN : 9781846281099

Get Book

Applied Geometry for Computer Graphics and CAD by Duncan Marsh Pdf

Focusing on the manipulation and representation of geometrical objects, this book explores the application of geometry to computer graphics and computer-aided design (CAD). Over 300 exercises are included, some new to this edition, and many of which encourage the reader to implement the techniques and algorithms discussed through the use of a computer package with graphing and computer algebra capabilities. A dedicated website also offers further resources and useful links.

Author : Zhuming Bi,Xiaoqin Wang
Publisher : John Wiley & Sons
Page : 629 pages
File Size : 50,7 Mb
Release : 2020-02-04
Category : Technology & Engineering
ISBN : 9781119534242

Get Book

Computer Aided Design and Manufacturing by Zhuming Bi,Xiaoqin Wang Pdf

Broad coverage of digital product creation, from design to manufacture and process optimization This book addresses the need to provide up-to-date coverage of current CAD/CAM usage and implementation. It covers, in one source, the entire design-to-manufacture process, reflecting the industry trend to further integrate CAD and CAM into a single, unified process. It also updates the computer aided design theory and methods in modern manufacturing systems and examines the most advanced computer-aided tools used in digital manufacturing. Computer Aided Design and Manufacturing consists of three parts. The first part on Computer Aided Design (CAD) offers the chapters on Geometric Modelling; Knowledge Based Engineering; Platforming Technology; Reverse Engineering; and Motion Simulation. The second part on Computer Aided Manufacturing (CAM) covers Group Technology and Cellular Manufacturing; Computer Aided Fixture Design; Computer Aided Manufacturing; Simulation of Manufacturing Processes; and Computer Aided Design of Tools, Dies and Molds (TDM). The final part includes the chapters on Digital Manufacturing; Additive Manufacturing; and Design for Sustainability. The book is also featured for being uniquely structured to classify and align engineering disciplines and computer aided technologies from the perspective of the design needs in whole product life cycles, utilizing a comprehensive Solidworks package (add-ins, toolbox, and library) to showcase the most critical functionalities of modern computer aided tools, and presenting real-world design projects and case studies so that readers can gain CAD and CAM problem-solving skills upon the CAD/CAM theory. Computer Aided Design and Manufacturing is an ideal textbook for undergraduate and graduate students in mechanical engineering, manufacturing engineering, and industrial engineering. It can also be used as a technical reference for researchers and engineers in mechanical and manufacturing engineering or computer-aided technologies.

Author : Alberto Paoluzzi
Publisher : John Wiley & Sons
Page : 1 pages
File Size : 55,7 Mb
Release : 2018-01-30
Category : Computers
ISBN : 9781119509127

Get Book

Geometric Programming for Computer Aided Design by Alberto Paoluzzi Pdf

Geometric Programming is currently of interest in CAD (Computer Aided Design) and related areas such as computer graphics, modeling and animation, scientific simulation and robotics. A growing interest towards gemotric programming is forecast in the next few years with respect to market specific CAD applications (e.g. for architecture and mechanical CAD) and web-based collaborative design environments. PLaSM is a general purpose functional language to compute with geometry which the authors use throughout their text. The PLaSM language output produces VRML (Virtual Reality Modelling Language) files which are used to create virtual worlds. PLaSM blends the powerful algebraic approach to programming developed at IBM research, with a dimension-independent approach to geometric data structures and algorithms, This book shows that such geometric code can be surprisingly compact and easy to write. It begins by introducing the basic programming with PLaSM and algebraic and geometric foundations of shape modeling, the foundations of computer graphics, solid modeling and geometric modeling of manifolds follows and finally discusses the application of geometric programming. For each topic, the mathematics is given, together with the PLaSM implementation (usually with a few lines of readable code) and some worked examples. Combines excellent coverage of the theory with well-developed examples Numerous applications eg. scientific stimulation, robotics, CAD, Virtual Reality Worked exercises for each topic Uses PLaSM language (supplied) throughout to illustrate techniques Supported with web presence Written for Industrial Practioners developing CAD software, mechanical engineers in Graphics, CAD and CAM, undergraduate and postgraduate courses in Computer Science and Mechanical Engineering,as well as programmers involved with developing visualization software.