Shape Extraction Method Using Search for Convex Hull by Genetic Algorithm

A search technique for convex hull and a shape extraction method using only genetic algorithm are proposed in this paper. The shape extraction method gets shape in wrapping from convex hull or approximate solution of convex hull. Small original problems are provided as the test problems, and it is shown that those convex hulls are obtained by proposed genetic algorithm method. After obtaining convex hull or approximate convex hull, crossover, a local search method, and a modified fitness function are started to get the shape in the wrapping. Consequently, the proposed GA succeeds in extracting the shape from the point sets in the plane. The experimental results show success in acquisition of the convex hull and the shape, and the mean time to obtain each problem´s convex hull is within half of one second.