Vector Math for 3D Computer Graphics - An Interactive Tutorial, 4th Revision

A tutorial on vector algebra and matrix algebra from the viewpoint of computer graphics. It covers most vector and matrix topics needed for college-level computer graphics text books.

**Tag(s):**
Linear Algebra

**Publication date**: 01 Jul 2009

**ISBN-10**:
n/a

**ISBN-13**:
n/a

**Paperback**:
n/a

**Views**: 34,091

**Type**: N/A

**Publisher**:
n/a

**License**:
Creative Commons Attribution-NonCommercial 4.0 International

**Post time**: 06 Jun 2006 07:39:27

Vector Math for 3D Computer Graphics - An Interactive Tutorial, 4th Revision

A tutorial on vector algebra and matrix algebra from the viewpoint of computer graphics. It covers most vector and matrix topics needed for college-level computer graphics text books.

You are free to:

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material

The licensor cannot revoke these freedoms as long as you follow the license terms.

Click**here** to read the full license.

Share — copy and redistribute the material in any medium or format

Adapt — remix, transform, and build upon the material

The licensor cannot revoke these freedoms as long as you follow the license terms.

Click

Terms and Conditions:

Books excerpts:

This is a tutorial on vector algebra and matrix algebra from the viewpoint of computer graphics. It covers most vector and matrix topics needed for college-level computer graphics text books. Most graphics texts cover these subjects in an appendix, but it is often too short. This tutorial covers the same material at greater length, and with many examples.

This tutorial is useful for more than computer graphics. Vectors and matrices are used in all scientific and engineering fields, and any other field that uses computers. In many fields, the vocabulary used for vectors and matrices does not match that used in computer graphics. But the ideas are the same, and reading these notes will take only a slight mental adjustment.

Intended Audience:

Although primarily aimed at computer science students, this tutorial is useful to all programmers interested in 3D computer graphics or 3D computer game programming. In spite of their appealing blood-and-gore covers, mass trade books on game programming require the same understanding of vectors and matrices as college text books (and usually defer these topics to the same mathematical appendix).

These notes assume that you have studied plane geometry and trigonometry sometime in the past. Notions such as point, line, plane, and angle should be familiar to you. Other notions such as sine, cosine, determinant, real number, and the common trig identities should at least be a distant memory.

Bradley Kjell wrote:Permission is granted to download it for personal use or for use in an educational institution.

Books excerpts:

This is a tutorial on vector algebra and matrix algebra from the viewpoint of computer graphics. It covers most vector and matrix topics needed for college-level computer graphics text books. Most graphics texts cover these subjects in an appendix, but it is often too short. This tutorial covers the same material at greater length, and with many examples.

This tutorial is useful for more than computer graphics. Vectors and matrices are used in all scientific and engineering fields, and any other field that uses computers. In many fields, the vocabulary used for vectors and matrices does not match that used in computer graphics. But the ideas are the same, and reading these notes will take only a slight mental adjustment.

Intended Audience:

Although primarily aimed at computer science students, this tutorial is useful to all programmers interested in 3D computer graphics or 3D computer game programming. In spite of their appealing blood-and-gore covers, mass trade books on game programming require the same understanding of vectors and matrices as college text books (and usually defer these topics to the same mathematical appendix).

These notes assume that you have studied plane geometry and trigonometry sometime in the past. Notions such as point, line, plane, and angle should be familiar to you. Other notions such as sine, cosine, determinant, real number, and the common trig identities should at least be a distant memory.

Tweet

About The Author(s)

Bradley Kjell is a Professor of Computer Science in the Department of Computer Science at the Central Connecticut State University. He received his PhD from University of Wisconsin, Madison in 1986. His current research interests are image processing, pattern recognition and neural networks.

Book Categories

Computer Science
Introduction to Computer Science
Introduction to Computer Programming
Algorithms and Data Structures
Artificial Intelligence
Computer Vision
Machine Learning
Neural Networks
Game Development and Multimedia
Data Communication and Networks
Coding Theory
Computer Security
Information Security
Cryptography
Information Theory
Computer Organization and Architecture
Operating Systems
Image Processing
Parallel Computing
Concurrent Programming
Relational Database
Document-oriented Database
Data Mining
Big Data
Data Science
Digital Libraries
Compiler Design and Construction
Functional Programming
Logic Programming
Object Oriented Programming
Formal Methods
Software Engineering
Agile Software Development
Information Systems
Geographic Information System (GIS)

Mathematics
Mathematics
Algebra
Abstract Algebra
Linear Algebra
Number Theory
Numerical Methods
Precalculus
Calculus
Differential Equations
Category Theory
Proofs
Discrete Mathematics
Theory of Computation
Graph Theory
Real Analysis
Complex Analysis
Probability
Statistics
Game Theory
Queueing Theory
Operations Research
Computer Aided Mathematics

Supporting Fields
Web Design and Development
Mobile App Design and Development
System Administration
Cloud Computing
Electric Circuits
Embedded System
Signal Processing
Integration and Automation
Network Science
Project Management

Operating System
Programming/Scripting
Ada
Assembly
C / C++
Common Lisp
Forth
Java
JavaScript
Lua
Rexx
Microsoft .NET
Perl
PHP
R
Python
Rebol
Ruby
Scheme
Tcl/Tk

Miscellaneous
Sponsors