Geometric Transformations for 3D Modeling

Delivering the theory and application of geometric transformations is the mission of this indispensible text. Geometric Transformations for 3D Modeling is a 380 page hardcover volume that is written from the standpoint of transformation mathematics. Its content is accessible by students, teachers and professionals in the field. It is also ideal for practitioners in engineering, math and physics that go beyond the manufacturing industry.

Its first few chapters provide abstract foundation material and theory to cue up the actual transformations content in subsequent chapters. The author's approaching this book reduces the clutter of theoretical derivation in the remaining text. Mortenson introduces operational and application‐centered tools and concepts as well.

This volume assumes that readers are already familiar with analytic geometry and first‐year calculus. Readers should also possess a basic working knowledge of matrix and vector algebra. With these prerequisites taken care of, this invaluable text will appeal to anyone working in 3D and geometric modeling, computer graphics, animation, robotics and kinematics.

Other Key Features

  • Explores and develops the subject in greater breadth and depth than other references.
  • Offers enhanced understanding of transformation theory, the role of invariants, the uses of a range of notation systems and the relations between transformations.
  • It describes how geometric objects can change position, orientation, or even their shape when subjected to mathematical operations and how properties characterizing their geometric identity and integrity can simultaneously remain unchanged.
  • Presents eigenvalues, eigenvectors and tensors in an easy‐to‐understand manner.
  • This text contains revised and improved figures. Many illustrations are used to color and highlight important features.
  • Exercises with answers are frequently included for reference.
Geometric Transformations for 3D Modeling