Abstract
Genus zero surfaces are widespread forms in real life. It is important to have adequate mathematical tools that best represent them. Spherical harmonics are special bases able to model them in a compact and a relevant way. The main problem of the spherical harmonics modeling process is how to define the optimal reconstruction order that best represent the initial surface. This paper proposed a new spherical harmonics shannon-type entropy to optimize reconstruction and to provide an accurate and efficient evaluation method of the reconstruction order.