Reconstruction of 3D curves and surfaces using new variants of gravitational search algorithm
Amarjeet Singh, Kusum Deep · Journal of Information and Optimization Sciences · 2018
The problem of reconstruction of 3D curves and surfaces is modelled as a nonlinear optimization problem in which the objective function to be minimized is the error function between given data points and data points on the generated curve/surface.Although any optimization algorithm can be used to solve this problem, but due to the inherent complexities in the optimization model, heuristic algorithms are best suited. In this paper, a recently proposed nature motivated optimization technique, namely Gravitational Search Algorithm and its three variants are used to solve reconstruction problem. The approach is illustrated with the help of two examples- a helix and a dumbbell. The results are demonstrated and it is concluded that the approach is very promising in the area.