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Geometric Transformations for 3D Modelling

Michael E. Mortenson
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      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.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.
      Format: CONTRIBUTORS: Michael E. Mortenson EAN: 9780831133382 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 0 cm
      PUBLISHED BY: Industrial Press Inc.,U.S. DATE PUBLISHED: 2007-04-01 CITY: GENRE: COMPUTERS / Software Development & Engineering / Computer Graphics WIDTH: 0 cm SPINE:

      Book Themes:

      3D graphics and modelling

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      Michael E. Mortenson does independent research and writes on topics in geometric and 3D modeling. He is a former research scientist with a major aerospace corporation, and the author of several successful textbooks, including Geometric Modeling, Third Edition, Mathematics for Computer Graphics Applications, 2e, Geometric Transformations for 3D Modeling, 2e, and 3D Modeling, Animation, and Rendering: An Illustrated Lexicon. These works have garnered over 2400 citations. He is a graduate of the UCLA School of Engineering.
      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.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.
      Format: CONTRIBUTORS: Michael E. Mortenson EAN: 9780831133382 COUNTRY: United States PAGES: WEIGHT: 0 g HEIGHT: 0 cm
      PUBLISHED BY: Industrial Press Inc.,U.S. DATE PUBLISHED: 2007-04-01 CITY: GENRE: COMPUTERS / Software Development & Engineering / Computer Graphics WIDTH: 0 cm SPINE:

      Book Themes:

      3D graphics and modelling

      Customer Reviews

      Be the first to write a review
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      Michael E. Mortenson does independent research and writes on topics in geometric and 3D modeling. He is a former research scientist with a major aerospace corporation, and the author of several successful textbooks, including Geometric Modeling, Third Edition, Mathematics for Computer Graphics Applications, 2e, Geometric Transformations for 3D Modeling, 2e, and 3D Modeling, Animation, and Rendering: An Illustrated Lexicon. These works have garnered over 2400 citations. He is a graduate of the UCLA School of Engineering.

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