  We present in this paper a new family of implicit function for synthesizing a
wide variety of 3D surfaces. The basis of this family consists of the usual
functions that are: the function rectangular pulses, the function saw-tooth
pulses, the function of triangular pulses, the staircase function and the power
function. By combining these common functions, named constituent functions, in
one implicit function and by varying some parameters of this function we can
synthesize a wide variety of 3D surfaces with the possibility to set their
deformations.

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