Vectors and Matrices for Geometric and 3D Modeling - Brossura

Mortenson, Michael

Brossura

ISBN 10: 0831136553 ISBN 13: 9780831136550

Casa editrice: Industrial Pr, 2020

Riassunto

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 relationships between vectors, matrices, basis vectors and barycentric coordinates, all of which are not usually seen in ordinary texts. This text also discusses how these concepts are applied to produce curves and surfaces, and how they facilitate the analysis of spatial relationships. 
For those readers beginning studies in geometric and 3D modeling, animation, CGI, or CAD/CAM, this work serves as an introduction to vectors and matrices, and provides a good start to understanding how they are applied. For instructors, this book can be a primary text or supplement to more advanced or specialized texts on geometric and 3D modeling.
           
Features

• More than 150 illustrations support visual understanding of the content.
• 100+ exercises and extended solutions enhance the classroom environment.
• A comprehensive range of topics offers an in-depth look at the math underlying 3D modeling and animation courses.
• Linear algebra and calculus are not prerequisites.

Su questo libro

Informazioni sull'autore

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.  

Dettagli dell'edizione

• Editore: Industrial Pr
• Data di pubblicazione: 2020
• Lingua: Inglese
• ISBN 10: 0831136553
• ISBN 13: 9780831136550
• Rilegatura: Copertina flessibile
• Numero di pagine: 250
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile