Generalized Convex Hull Combination Approach

Abstract

Convex hull calculation, which is one of the important topics of computer aided geometric design, constitutes the starting point of this study. Convex hull, which has many definitions in the literature, was calculated with the convex hull combination approach in our study. From the definition of the combination of all possible convex sets for the given point set [13], a convex body consisting of n points is obtained. In addition to mathematics and geometry, the relationship between the special and generalized methods revealed by the convex body approach, which is discussed in the study, with industrial life is shown