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.
Cite
@article{arxiv.1505.03977,
title = {A wide diversity of 3D surfaces Generator using a new implicit function},
author = {Jelloul Elmesbahi and Ahmed Errami and Mohammed Khaldoun and Omar Bouattane},
journal= {arXiv preprint arXiv:1505.03977},
year = {2016}
}
Comments
This second submission replaces the first following submission at: arXiv:1505.03977 It completes this later by adding a second model to complete the first one. It corresponds to particular surfaces (Lego cubes) and the other remained results (about 500 3D surfaces). This is to avoid huge file size for our submission and to proof the effectiveness of our model