Maths - Affine conversion Matrix to Multivector

Definition of terms:

Since we want to consider the possibility that there is also a translation from the centre, and that the rotation may not be about the centre but may be about some arbitrary point, then the matrix has to be increased from 3x3 to 4x4 so that it can specify the position and orientation. (as explained here).

The Multivector is based on 3D vectors and it can specify the position and orientation.

I am still working on this - can you help?

 


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Book Shop - Further reading.

Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them.

flag flag flag flag flag flag Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics (Fundamental Theories of Physics). This book is intended for mathematicians and physicists rather than programmers, it is very theoretical. It covers the algebra and calculus of multivectors of any dimension and is not specific to 3D modelling.

 

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