Approximation and Modeling of “Shark Tooth” Stalactites Using Griewank Function & Particle Swarm Optimization Approach (Short Note for Geophysical Structure Modeling)

Abstract

In this short note we consider the way in which a useful approximation of -shark tooth‖ stalactites morphology can be obtained with a very simple mathematical function. The approximation is not applicable for other stalactite morphologies, because this possibility can be used only in very special applications, where the solution (or approximation) process is complicated by the presence of some more patterning effects. We shall not consider this complicated question in this article. We only pay attention to the fact that some stalactite patterning mechanisms admit a simple geometrical interpretation in the frame of particle swarm optimization theory.