what is the best and most efficiednt way to deal with hyper complex numbers
in numpy/scipy
e.g.
for a 1d array we have a complex number containing real and imaginary
pairs... conceptually we have
((r,i),(r,i)...(r,i))
however, for a hypercomplex number in 2d we have quartets of numbers e.g.
((rr,ir,ir,ii),rr,ir,ir,ii)....),
((rr,ir,ir,ii),rr,ir,ir,ii)....),
.
.
.
((rr,ir,ir,ii),rr,ir,ir,ii)....),
or planes of complex numbers
r.
((r,i),(r,i)...(r,i)),
((r,i),(r,i)...(r,i)),
.
.
.
((r,i),(r,i)...(r,i))
i.
((r,i),(r,i)...(r,i)),
((r,i),(r,i)...(r,i)),
.
.
.
((r,i),(r,i)...(r,i))
that is the best way to deal with these in scipy/numpy especially with
respect to 2D fourier transforms and data processing
regards
gary
|