Description

Book Synopsis
Vectors are perhaps the most important mathematical objects used in modeling and animation. They have the properties of magnitude and direction, and provide visual understanding of model construction and analysis. Matrices are natural and hardworking partners of vectors.
This work presents lessons on vectors and matrices in geometric and 3D modeling—the mathematics at the foundation of computer graphics applications. The lessons appear as chapters, generally organized from introductory to more complex topics. Within each chapter, there is a similar order of elementary-to-advanced discussion. 
Here are topics that are usually published in briefer form in more advanced texts as part of their supporting mathematics. In this work, vectors and matrices are the main subjects. This text offers an easier-to-understand introduction to the main ideas behind vectors and matrices, stripped of formalism, and leading directly to geometric modeling. It demonstrates the rel

Table of Contents
  • 1. Vectors PDQ
  • 2. The Visual Vector
  • 3. The Algebraic Vector
  • 4. Matrix Basics
  • 5. Special Matrices
  • 6. Basis Vectors
  • 7. Barycentric Coordinate Systems
  • 8. Translation and Rotation
  • 9. More Transformations
  • 10. Vector-Defined Geometric Objects I
  • 11. Vector-Defined Geometric Objects II
  • 12. Spatial Relationships
  • Solutions.

Vectors and Matrices for Geometric and 3D Modeling

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    A Paperback by Michael E. Mortenson

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      Book details

      Publisher Industrial Press Inc.,U.S.
      Published 11/30/2020 12:00:00 AM
      ISBN-13 9780831136550
      978-0831136550
      ISBN-10 0831136553

      Description

      Book Synopsis
      Vectors are perhaps the most important mathematical objects used in modeling and animation. They have the properties of magnitude and direction, and provide visual understanding of model construction and analysis. Matrices are natural and hardworking partners of vectors.
      This work presents lessons on vectors and matrices in geometric and 3D modeling—the mathematics at the foundation of computer graphics applications. The lessons appear as chapters, generally organized from introductory to more complex topics. Within each chapter, there is a similar order of elementary-to-advanced discussion. 
      Here are topics that are usually published in briefer form in more advanced texts as part of their supporting mathematics. In this work, vectors and matrices are the main subjects. This text offers an easier-to-understand introduction to the main ideas behind vectors and matrices, stripped of formalism, and leading directly to geometric modeling. It demonstrates the rel

      Table of Contents
      • 1. Vectors PDQ
      • 2. The Visual Vector
      • 3. The Algebraic Vector
      • 4. Matrix Basics
      • 5. Special Matrices
      • 6. Basis Vectors
      • 7. Barycentric Coordinate Systems
      • 8. Translation and Rotation
      • 9. More Transformations
      • 10. Vector-Defined Geometric Objects I
      • 11. Vector-Defined Geometric Objects II
      • 12. Spatial Relationships
      • Solutions.

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