Recent content by PeteKH
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Graduate Clifford Algebra: Representing Vectors & Projecting to Euclidean
OK, will try messing around with that. I believe its called something like 'homogenous coordinates', which like you said, can allow you to translate a point with a matrix multiply. Wish I made that connection initially! For the matrix representations in the Clifford basis, I'm pretty much...- PeteKH
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate Clifford Algebra: Representing Vectors & Projecting to Euclidean
Thanks Peeter, that part makes sense as you've explained it. I'm still a bit perplexed as to how I might implement an FFT of a 2D field of vectors (Clifford Fourier Transform on Vector Fields, Ebling,Scheuermann,2005) , which requires representing a point as F = F_0*1 +...- PeteKH
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate Clifford Algebra: Representing Vectors & Projecting to Euclidean
I've read a number of tutorials on Clifford algebra, but I am still unsure of some elementary concepts. For starters, how would I represent a vector in a 2D vector field as a Clifford multivector? For 2D, a multivector is given by A = a0*1 + a1*e1+a2*e2 + a3*e1e2, where 1 is a scalar...- PeteKH
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- Algebra Clifford algebra
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- Forum: Linear and Abstract Algebra