Convex hull algorithms information

Algorithms that construct convex hulls of various objects have a broad range of applications in mathematics and computer science. In computational geometry...

In geometry, the convex hull, convex envelope or convex closure of a shape is the smallest convex set that contains it. The convex hull may be defined either...

n[citation needed]. In general cases, the algorithm is outperformed by many others ( See Convex hull algorithms). For the sake of simplicity, the description...

Ronald Graham, who published the original algorithm in 1972. The algorithm finds all vertices of the convex hull ordered along its boundary. It uses a stack...

This lower bound is attainable, because several general-purpose convex hull algorithms run in linear time when input points are ordered in some way and...

Quickhull is a method of computing the convex hull of a finite set of points in n-dimensional space. It uses a divide and conquer approach similar to...

every convex set is orthogonally convex but not vice versa. For the same reason, the orthogonal convex hull itself is a subset of the convex hull of the...

general concept of a convex hull. It can be computed in linear time, faster than algorithms for convex hulls of point sets. The convex hull of a simple polygon...

of algorithms which can be stated in terms of geometry. Some purely geometrical problems arise out of the study of computational geometric algorithms, and...

Delone triangulation of a set of points in the plane subdivides their convex hull into triangles whose circumcircles do not contain any of the points....

Various convex hull algorithms deal both with the facet enumeration and face lattice construction. In the planar case, i.e., for a convex polygon, both...

detection algorithms: check for the collision or intersection of two given solids Cone algorithm: identify surface points Convex hull algorithms: determining...

A kinetic convex hull data structure is a kinetic data structure that maintains the convex hull of a set of continuously moving points. It should be distinguished...

is always a convex curve. The intersection of all the convex sets that contain a given subset A of Euclidean space is called the convex hull of A. It is...

the box. It is sufficient to find the smallest enclosing box for the convex hull of the objects in question. It is straightforward to find the smallest...

and computational geometry, the relative convex hull or geodesic convex hull is an analogue of the convex hull for the points inside a simple polygon or...

Mathematics Vol. 7: 27–41 Chan, T. M. (1996), "Optimal output-sensitive convex hull algorithms in two and three dimensions", Discrete and Computational Geometry...

subspace of V are convex cones. The conical hull of a finite or infinite set of vectors in R n {\displaystyle \mathbb {R} ^{n}} is a convex cone. The tangent...

Local convex hull (LoCoH) is a method for estimating size of the home range of an animal or a group of animals (e.g. a pack of wolves, a pride of lions...

convex conical hull of S is a closed set. Affine combination Convex combination Linear combination Convex Analysis and Minimization Algorithms by Jean-Baptiste...

inequalities given the vertices is called facet enumeration (see convex hull algorithms). The computational complexity of the problem is a subject of research...

projection (shadow) of objects on the surface may be used to reconstruct the convex hull of the object.[citation needed] 3D reconstruction from multiple images...

considered important enough to have much research on specialized algorithms. A number of algorithms for other types of optimization problems work by solving linear...

and he is also known for the Kirkpatrick–Seidel algorithm for computing two-dimensional convex hulls. Profile Archived 2007-10-30 at the Wayback Machine...

the algorithms, followed by two or three chapters on algorithms for that subtopic. The topics presented in these sections and chapters include convex hulls...

the convex hull of its edges. Additional properties of convex polygons include: The intersection of two convex polygons is a convex polygon. A convex polygon...