Computer Aided Geometric Design

Computer Aided Geometric Design PDF Author: Robert E. Barnhill
Publisher: Academic Press
ISBN: 1483268489
Category : Technology & Engineering
Languages : en
Pages : 337

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Book Description
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.

Computer Aided Geometric Design

Computer Aided Geometric Design PDF Author: Robert E. Barnhill
Publisher: Academic Press
ISBN: 1483268489
Category : Technology & Engineering
Languages : en
Pages : 337

Get Book Here

Book Description
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.

Mathematical Methods in Computer Aided Geometric Design

Mathematical Methods in Computer Aided Geometric Design PDF Author: Tom Lyche
Publisher:
ISBN:
Category :
Languages : en
Pages : 611

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Book Description


Mathematical Methods in Computer Aided Geometric Design

Mathematical Methods in Computer Aided Geometric Design PDF Author: Tom Lyche
Publisher: Academic Press
ISBN: 1483257800
Category : Mathematics
Languages : en
Pages : 632

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Book Description
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.

Mathematical Methods in Computer Aided Geometric Design II

Mathematical Methods in Computer Aided Geometric Design II PDF Author: Tom Lyche
Publisher: Academic Press
ISBN: 1483257983
Category : Mathematics
Languages : en
Pages : 649

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Book Description
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.

Mathematical Methods in Computer Aided Geometric Design II

Mathematical Methods in Computer Aided Geometric Design II PDF Author: Tom Lyche
Publisher:
ISBN: 9780124605107
Category : Mathematics
Languages : en
Pages : 626

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Book Description


Handbook of Computer Aided Geometric Design

Handbook of Computer Aided Geometric Design PDF Author: G. Farin
Publisher: Elsevier
ISBN: 008053340X
Category : Mathematics
Languages : en
Pages : 849

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Book Description
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 exposureto this subject.

Subdivision Methods for Geometric Design

Subdivision Methods for Geometric Design PDF Author: Joe Warren
Publisher: Morgan Kaufmann
ISBN: 9781558604469
Category : Art
Languages : en
Pages : 326

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Book Description
Subdivision Methods for Geometric Design provides computer graphics students and designers with a comprehensive guide to subdivision methods, including the background information required to grasp underlying concepts, techniques for manipulating subdivision algorithms to achieve specific effects, and a wide array of digital resources on a dynamic companion Web site. Subdivision Methods promises to be a groundbreaking book, important for both advanced students and working professionals in the field of computer graphics.

Shape Interrogation for Computer Aided Design and Manufacturing

Shape Interrogation for Computer Aided Design and Manufacturing PDF Author: Nicholas M. Patrikalakis
Publisher: Springer Science & Business Media
ISBN: 9783540424543
Category : Computers
Languages : en
Pages : 428

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Book Description
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.

Mathematical Methods in Computer Aided Geometric Design

Mathematical Methods in Computer Aided Geometric Design PDF Author: Tom Lyche
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description


Fundamentals of Computer Aided Geometric Design

Fundamentals of Computer Aided Geometric Design PDF Author: Josef Hoschek
Publisher: A K Peters/CRC Press
ISBN: 9781568810072
Category : Computers
Languages : en
Pages : 752

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Book Description
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.