The first comprehensive and complete coverage of geometric modeling. This text accurately treats the parametric geometry of curves, surfaces and solids, the construction of geometric models and the analytical techniques that can be used and applications. Extensive use is made of end-of-chapter problems.
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Book Description
Editorial Reviews
From the Publisher
The first comprehensive and complete coverage of geometric modeling. This text accurately treats the parametric geometry of curves, surfaces and solids, the construction of geometric models and the analytical techniques that can be used and applications. Extensive use is made of end-of-chapter problems.
From the Back Cover
A comprehensive, up-to-date presentation of the indispensable core concepts of geometric modeling
Now completely updated to include the most recent developments in the field, Geometric Modeling, Second Edition presents a comprehensive discussion of the core concepts of this subject. It describes and compares all the important mathematical methods for modeling curves, surfaces, and solids, and shows how to transform and assemble these elements into complex models. Written in a style free of the jargon of special applications, this unique book focuses on the essence of geometric modeling and treats it as a discipline in its own right.
It integrates the three important functions of geometric modeling: to represent elementary forms (i.e., curves, surfaces, and solids), to shape and assemble these into more complex forms, and to determine concomitant derivative geometric elements (i.e., intersections, offsets, and fillets).
With more than 300 illustrations, Geometric Modeling, Second Edition appeals to the reader's visual and intuitive skills in a way that makes it easier to understand its more abstract concepts. An extensive bibliography lists many supporting works, directing the reader to more specialized treatments of this subject.
Geometric Modeling, Second Edition serves as an invaluable guide to computer graphics and CAD/CAM specialists, applications designers, scientific programmers, teachers, and students. --This text refers to an out of print or unavailable edition of this title.
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Most Helpful Customer Reviews
10 of 10 people found the following review helpful:
4.0 out of 5 stars
An entry level book on geometric modeling,
This review is from: Geometric Modeling (Hardcover)
This book is a definitive introduction to geometric modeling. However, the sections on solid modeling and surface-surface intersection are lacking in depth. A serious reader may consider consulting books by Farin and Piegl for Geometric modeling and Hoffman/Mantyla for solid modeling.
11 of 12 people found the following review helpful:
5.0 out of 5 stars
Mortenson does it again!,
This review is from: Geometric Modeling (Hardcover)
I have come to rely on Michael Mortenson's books as my prime resource for programming computer graphics. Most books on this topic expect the reader to have an advanced degree in mathematics. But Mortenson has the ability to talk to you regardless of your prior knowledge of the topic (indeed, you'll feel you have earned a math degree after reading this book without even trying).This book is so complete that I feel it is the only book you'll ever need to understand the topic of geometric modelling. I highly recommend it (and any Mortenson book) to everyone interested in serious computer graphics programming.
9 of 10 people found the following review helpful:
4.0 out of 5 stars
A good introduction in GEOMETRIC MODELING!,
By A Customer
This review is from: Geometric Modeling (Hardcover)
This is an authorative, first-stage book on geometric modeling. I think everyone who is interested in geometric modeling will find it's beneficial for research as well as for applications.Chen-June Kao Solid Modeling Lab, ME, NTU, Taipei, Republic of China
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Inside This Book
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First Sentence:
This chapter introduces geometric modeling in the context of the forces motivating and shaping its development, and tries to answer the Question, What is geometric modeling? Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
complex model construction, relabel type, coincident control points, piecewise flat surface, host curve, parametric net, geometric synthesis, relational geometry, twist vectors, geometric coefficients, anisotropic dilation, degenerate patches, basis transformation matrix, knot values, algebraic coefficients, isoparametric curves, parametric continuity, parametric variables, characteristic polygon, bicubic patch, intrinsic equations, parametric derivatives, geometric continuity, blend surfaces, geometric modeling Key Phrases - Capitalized Phrases (CAPs): (learn more)
Parametric Equations of Surfaces, Poo Pol, Expanding Equation, True Error, University of Rochester New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This chapter introduces geometric modeling in the context of the forces motivating and shaping its development, and tries to answer the Question, What is geometric modeling? Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
complex model construction, relabel type, coincident control points, piecewise flat surface, host curve, parametric net, geometric synthesis, relational geometry, twist vectors, geometric coefficients, anisotropic dilation, degenerate patches, basis transformation matrix, knot values, algebraic coefficients, isoparametric curves, parametric continuity, parametric variables, characteristic polygon, bicubic patch, intrinsic equations, parametric derivatives, geometric continuity, blend surfaces, geometric modeling Key Phrases - Capitalized Phrases (CAPs): (learn more)
Parametric Equations of Surfaces, Poo Pol, Expanding Equation, True Error, University of Rochester New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 32
books:
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72
books
cite this book:
See all 72 books citing this book
- Computer Graphics by Acm Press on 23 pages
- Geometric Modeling: Algorithms and New Trends by Gerald E. Farin on 4 pages
- Curves and Surfaces by Pierre-Jean Laurent in Back Matter (1), Back Matter (2), and Back Matter (3)
- Mathematical Methods in Computer Aided Geometric Design (v. 1) by Tom Lyche in Back Matter (1), and Back Matter (2)
- The Mathematics of Surfaces (The Institute of Mathematics and Its Applications Conference Series, New Ser., 6) (v. 1) by J. A. Gregory in Back Matter (1), and Back Matter (2)
See all 32 books this book cites
- Computer Animation: Algorithms and Techniques (The Morgan Kaufmann Series in Computer Graphics) by Rick Parent on page 60, page 170, and Back Matter
- Graphics Interface 1989 by Torsten Moller on page 39, and page 207
- Computer Graphics and Geometric Modelling: Implementation & Algorithms (v. 1) by Max K. Agoston in Back Matter (1), and Back Matter (2)
- Multi-Body Dynamics: Monitoring and Simulation Techniques III by Homer Rahnejat on page 71, and page 90
- State of the Art in Computer Graphics: Visualization and Modeling by David F. Rogers on page 182, and page 222
See all 72 books citing this book
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