A new algorithm is proposed for approximation to the molecular surface
. It starts with a triangular mesh built on an ellipsoid embracing the
whole molecular surface. The triangular mesh is obtained from an icos
ahedron subdivision sphere with highly uniform vertex distribution, an
d the embracing surface is deflated stepwise to the best adherence of
its triangles onto the surface of the molecule. The deflating directio
n of each vertex of a triangle is defined by the vector normal at this
point to the previous deflated embracing surface. Our results show th
at the speed of the triangulation embracing ellipsoid method and the q
uality of the surface obtained by the method are faster and better tha
n the method that starts with a quadrilateral mesh built from meridian
and parallel representations on an embracing sphere, to get the molec
ular surface. Furthermore, the surface obtained by the method can be u
sed directly to approximate the molecular surface by spherical harmoni
c expansions. (C) 1998 John Wiley & Sons, Inc.