A Novel Method of Smooth Fitting for a Class of the Spatial Convex Cavities in the Multiply Connected Domain

According to a class of closed surfaces fitting problem which cant be solved by using maximum entropy function under the rectangular coordinate system, a new method of smooth fitting for a class of the spatial convex cavities in the multiply connected domain by some planes: the envelope algorithm of minimum entropy function is promoted to the spherical coordinates system, for every closed areas by which the border of spatial convex cavities construct, separately the suitable control parameter is chosen, the minimum entropy function is used to smooth the spatial convex cavities in the multiply connected domain. The smooth fitting graph can be drawn based on the function. This method can be used in soma fields such as closed surface modeling, mold designing, mold manufacturing and reverse engineering.