1.

Record Nr.

UNISA996472065803316

Autore

Vince John (John A.)

Titolo

Mathematics for Computer Graphics [[electronic resource] /] / by John Vince

Pubbl/distr/stampa

London : , : Springer London : , : Imprint : Springer, , 2022

ISBN

9781447175209

9781447175193

Edizione

[6th ed. 2022.]

Descrizione fisica

1 online resource

Collana

Undergraduate Topics in Computer Science, , 2197-1781

Disciplina

006.6869

Soggetti

Computer graphics

Computer science - Mathematics

Computer Graphics

Mathematical Applications in Computer Science

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di contenuto

Preface -- Introduction -- Numbers -- Algebra -- Trigonometry -- Coordinate Systems -- Determinants -- Vectors -- Matrix Algebra -- Complex Numbers -- Geometric Transforms -- Quaternion Algebra -- Quaternions in Space -- Interpolation -- Curves and Patches -- Analytic Geometry -- Barycentric Coordinates -- Geometric Algebra -- Calculus: Derivatives -- Calculus: Integration -- Worked Examples -- Appendix A -- Appendix B -- Index.

Sommario/riassunto

John Vince explains a comprehensive range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, special effects, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded sixth edition. The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on determinants, vectors, matrix algebra, complex numbers, geometric transforms, quaternion algebra, quaternions in space, interpolation, curves and patches, analytical geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new subject of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally,



there is a chapter on worked examples. Mathematics for Computer Graphics covers all of the key areas of the subject, including: Number sets Algebra Trigonometry Complex numbers Coordinate systems Determinants Vectors Quaternions Matrix algebra Geometric transforms Interpolation Curves and surfaces Analytic geometry Barycentric coordinates Geometric algebra Differential calculus Integral calculus This sixth edition contains approximately 150 worked examples and over 330 colour illustrations, which are central to the author’s descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics software and setting the scene for further reading of more advanced books and technical research papers.