Geometric Transformations for 3D Modeling

Michael E Mortenson

ISBN 10: 0831133384 / ISBN 13: 9780831133382

Published by Industrial Press Apr 2007, 2007

About this Item

Neuware - Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformations. Presenting the more abstract foundation material in the first three chapters, Geometric Transformations in 3D Modeling reduces the clutter of theoretical derivation and development in the remainder of the text and introduces the operational and more application-oriented tools and concepts as the need arises. It assumes the reader has already taken analytic geometry and first-year calculus and has a working knowledge of basic matrix and vector algebra. This self-contained resource is sure to appeal to those working in 3D modeling, geometric modeling, computer graphics, animation, robotics, and kinematics.Features- Explores and develops the subject in much greater breadth and depth than other books, offering readers a better understanding of transformation theory, the role of invariants, the uses of various notation systems, and the relations between transformations.- Describes how geometric objects may change position, orientation, or even shape when subjected to mathematical operations, while properties characterizing their geometric identity and integrity remain unchanged.- Presents eigenvalues, eigenvectors, and tensors in a way that makes it easier for readers to understand.- Contains revised and improved figures, with many in color to highlight important features.- Provides exercises throughout nearly all of the chapters whose answers are found at the end of the book.

Seller Inventory # 9780831133382

Bibliographic Details

• Title: Geometric Transformations for 3D Modeling
• Publisher: Industrial Press Apr 2007
• Publication Date: 2007
• Language: English
• ISBN 10: 0831133384
• ISBN 13: 9780831133382
• Binding: Buch
• Edition: 2nd Edition
• Condition: Neu
• Dimensions: 255W x 185H x 28D millimeters 255 millimeters width by 185 millimeters height by 28 millimeters depth
• Weight: 930 grams

About this title

Synopsis

Written from a mathematical standpoint accessible to students, teachers, and professionals studying or practicing in engineering, mathematics, or physics, the new second edition is a comprehensive introduction to the theory and application of transformations. Presenting the more abstract foundation material in the first three chapters, Geometric Transformations in 3D Modeling reduces the clutter of theoretical derivation and development in the remainder of the text and introduces the operational and more application-oriented tools and concepts as the need arises. It assumes the reader has already taken analytic geometry and first-year calculus and has a working knowledge of basic matrix and vector algebra. This self-contained resource is sure to appeal to those working in 3D modeling, geometric modeling, computer graphics, animation, robotics, and kinematics.  

Features

• Explores and develops the subject in much greater breadth and depth than other books, offering readers a better understanding of transformation theory, the role of invariants, the uses of various notation systems, and the relations between transformations.
• Describes how geometric objects may change position, orientation, or even shape when subjected to mathematical operations, while properties characterizing their geometric identity and integrity remain unchanged.
• Presents eigenvalues, eigenvectors, and tensors in a way that makes it easier for readers to understand.
• Contains revised and improved figures, with many in color to highlight important features.
• Provides exercises throughout nearly all of the chapters whose answers are found at the end of the book.

About the Author

Michael E. Mortenson, a graduate of the UCLA School of Engineering, writes and does independent research in 3D geometric modeling and computer-aided design. He is a former research scientist with a major aerospace corporation and the author of several highly successful textbooks.