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

05/15/2015
by   Jelloul Elmesbahi, et al.
0

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.

READ FULL TEXT

page 5

page 6

page 11

page 14

page 15

page 18

page 19

page 40

research
01/24/2022

Neural Implicit Surfaces in Higher Dimension

This work investigates the use of neural networks admitting high-order d...
research
06/16/2019

Pi-surfaces: products of implicit surfaces towards constructive composition of 3D objects

Implicit functions provide a fundamental basis to model 3D objects, no m...
research
07/02/2022

Corner-based implicit patches

Multi-sided surfaces are often defined by side interpolants (also called...
research
07/16/2023

Neural Stream Functions

We present a neural network approach to compute stream functions, which ...
research
07/10/2015

A Closed-Form Formulation of HRBF-Based Surface Reconstruction

The Hermite radial basis functions (HRBFs) implicits have been used to r...
research
03/08/2023

Graph parameters, implicit representations and factorial properties

How to efficiently represent a graph in computer memory is a fundamental...
research
11/08/2019

Approximation of Potential Energy Surfaces with Spherical Harmonics

In this note we detail a framework to systematically derive polynomial b...

Please sign up or login with your details

Forgot password? Click here to reset