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Matrix Transformations and the Homogeneous Coordinate System

Muffin Express Games

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Intermediate. Assumes working knowledge.

69K views13 years ago1 recommendation

Graphics and audioComputer scienceRenderingMath for programmers

An explanation of matrix representations for linear transformations and the homogeneous coordinate system in graphics programming.

This video shows the matrix representation of the previous video's algebraic expressions for performing linear transformations. It is necessary to introduce the homogeneous coordinate system in which points and vectors are represented with an additional w component. This allows translations to be represented with a matrix. I also discuss the difference between row major and column major forms as well as an example problem.

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What people say. Recommended for understanding the underlying math and matrix transformations used in graphics and image manipulation.

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