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Reza Nourai's Game Development Ramblings
Random discussions about game development. Particularly math, physics, collision detection/response, and performance.
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Affine
Affine Combination
affine transformation
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linear transformation
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Blog Post:
Math Primer Series: Matrices III: Affine Transformations and Matrices
Reza Nourai - MSFT
We’ve seen matrices used as representations of a basis, and we’ve seen them used as linear transformations, but what else can we do with them? So far, we’ve only been able to use matrices to transform vectors from one vector space to another. What about points and vectors in an affine space? There is...
on
20 Nov 2011
Blog Post:
Math Primer Series: Vectors III: Affine Spaces, Linear and Affine Combinations
Reza Nourai - MSFT
In this chapter of our primer, we’ll examine affine spaces, and see what affine and linear combinations are. Furthermore, we can use these concepts to define some other related concepts, such as affine and linear dependency. Affine Space An affine space can be thought of as any space containing...
on
26 Jun 2011
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