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Sunday, August 26, 2007

Vector Math for 3D Computer Graphics

This is a tutorial on vector algebra and matrix algebra from the viewpoint of computer graphics. It covers most vector and matrix topics needed to read 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.

· Chapter 0 — Points and Lines
· Chapter 1 — Vectors, Points, and Column Matrices
· Chapter 2 — Matrix Addition
· Chapter 3 — Vector Addition
· Chapter 4 — Vector Length
· Chapter 5 — Vectors Direction
· Chapter 6 — Scaling and Unit Vectors
· Chapter 7 — The Dot Product
· Chapter 8 — Length and the Dot Product
· Chapter 9 — The Angle between Two Vectors.
· Chapter 10 — The Angle between 3D Vectors.
· Chapter 11 — Projecting one Vector onto Another.
· Chapter 12 — Vector Cross Product.
· Chapter 13 — Matrices and Simple Matrix Operations.
· Chapter 14 — Matrix-Column Matrix Multiplicaton.
· Chapter 15 — Matrix-Matrix Multiplication
· Chapter 16 — Identity Matrix and Matrix Inverse
· Index

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