A wide diversity of 3D surfaces Generator using a new implicit function

In this paper we present an enhanced version of the paper [8]. It deals with a new family of implicit functions used to provide a wide diversity of 3D surfaces. This family involves some usual functions such as: the rectangular pulses, the saw-tooth pulses, the triangular pulses, the staircase function and the power function. By combining these usual functions, named constituent functions, in one implicit function,where some controlled parameters are included, we can easily insure a large shape variability and deformation of the resulted 3D surfaces