Articulatory codebooks are very often used to represent the articulatory-to-acoustic mapping. They thus need to be compact while offering a very good acoustic precision. This paper presents a method of articulatory codebook construction more general than that of Ouni  in the sense that the articulatory-to-acoustic mapping is approximated by multivariable polynomials. The second major contribution concerns the subdivision process which finds out the most efficient subdivision, i.e. that which minimizes the size of the codebook while guarantying a very good acoustic precision.
Experiments carried out show that the size of the codebook can be divided by a factor of 20, and simultaneously, the acoustic precision can improved by a factor of 2 by using second order polynomials together with this new construction strategy.
Bibliographic reference. Potard, Blaise / Laprie, Yves (2007): "Compact representations of the articulatory-to-acoustic mapping", In INTERSPEECH-2007, 2481-2484.