Summary of the MTM algorithm

Devising:
(1)Prepare a (preferably large) database of odorants, and pass them through an appropriate human panel, obtaining the odorant vectors dP (o; c) in the psychophysical space.
(2)Measure the same odorants by a sniffer S, obtaining the odorant vectors dS(o; c).
(3)Learn the mapping f between the sniffer space and the psychophysical space.
(4)Choose a whiffer palette of size n.
(5)Compute the operator PP for the palette odorants. (This is best done by measuring the palette odors directly by the human panel; alternatively, they can be measured by the sniffer S and then subjected to the mapping f.)


Using:

(1) Sample an input odorant (o; c) using the sniffer S, thus obtaining dS(o; c).
(2) Map the resulting fingerprint from the sniffer space to the psychophysical space, dP (o; c) = f(dS(o; c)).
(3) Find the non-negative mixing vector v as the minimizer of

(4) Prepare and release a mixture of the palette odorants according to the vector v.