In computational geometry, numerous algorithms are proposed for computing the convex hull of a finite set of points, with various computational complexities. Computing the convex hull means …

Part of the book series: Texts and Monographs in Computer Science ( (MCS)) The problem of computing a convex hull is not only central to practical applications, but is also a vehicle for the …

Aug 8, 2024 · The Convex Hull Algorithm is used to find the convex hull of a set of points in computational geometry. The convex hull is the smallest convex set that encloses all the …

Convex Hull • What is a convex hull of a set of points S? – Smallest area/perimeter convex set containing S – Union of all points expressible by a convex combination of points in S, i.e points …

To compute the convex hull of a finite set of points is a classical problem in computational geometry. In two dimensions, there are several algorithms that solve this problem in an …

Convex Hulls: Basic Algorithms The problem of computing a convex hull is not only central to practical applications, but is also a vehicle for the solution of a number of apparently unrelated …

An object is convex if any two points inside it can be connected via a straight line that is entirely inside the object. This chapter opens with a discussion of convexity and then defines the …

Jun 5, 2012 · There are many algorithms that compute the convex hull of a set of points in two and three dimensions, and the present chapter does not claim to give a comprehensive …

In this incremental algorithm, we work point by point. After sorting by x-coordinate, we have a list of points, so taking the next point in the list is well defined. Consider the computation of the …

Jun 5, 2012 · In the following chapters, we will be interested in linear convex sets. These can be defined as convex hulls of a finite number of points, or intersections of a finite number of half …