reason, the orthogonal convex hull itself is a subset of the convex hull of the same point set. A point p belongs to the orthogonal convex hull of K if and...

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...

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

separate consideration Orthogonal range searching Orthogonal convex hull construction Boolean operations on polygons for orthogonal polygons (e.g., intersection...

subset A of Euclidean space is called the convex hull of A. It is the smallest convex set containing A. A convex function is a real-valued function defined...

differing bits between two strings of binary digits Lee distance Orthogonal convex hull – Minimal superset that intersects each axis-parallel line in an...

maxima set problem, has been studied as a variant of the convex hull and orthogonal convex hull problems. It is equivalent to finding the Pareto frontier...

The convex polyhedra are a well defined class of polyhedra with several equivalent standard definitions. Every convex polyhedron is the convex hull of...

used for the orthogonal convex hull. A polyomino is said to be vertically or column convex if its intersection with any vertical line is convex (in other...

to the convex hull of a point set in a Euclidean space. The tight span is also sometimes known as the injective envelope or hyperconvex hull of M. It...

encoding of the convex hull of the function's epigraph in terms of its supporting hyperplanes. For more examples, see § Table of selected convex conjugates...

problem Problems on isothetic polygons and isothetic polyhedra Orthogonal convex hull Path planning Paths among obstacles Shortest path in a polygon Polygon...

is the convex hull of 25 disjoint 24-cells. Each 24-cell is the convex hull of 3 disjoint (8-point) 16-cells, so the 120-cell is the convex hull of 75...

all the permutations of (±1, 0, 0, ..., 0). The cross-polytope is the convex hull of its vertices. The n-dimensional cross-polytope can also be defined...

and four vertices. The tetrahedron is the simplest of all the ordinary convex polyhedra. The tetrahedron is the three-dimensional case of the more general...

n, x n {\displaystyle x_{n}} is the orthogonal projection of x n + 1 {\displaystyle x_{n+1}} onto the linear hull of x 1 , … , x n {\displaystyle x_{1}...

Jessen's icosahedron, sometimes called Jessen's orthogonal icosahedron, is a non-convex polyhedron with the same numbers of vertices, edges, and faces...

Soddy's hexlet Sphericon Stereographic projection Stereometry Ball Convex Convex hull Coxeter group Euclidean distance Homothetic center Hyperplane Lattice...

both disjoint convex sets are open, then there is a hyperplane in between them, but not necessarily any gap. An axis which is orthogonal to a separating...

assumes that the octagon is the convex hull of two perpendicular rectangles; then the p-gonal ditetragoltriate is the convex hull of two p-p duoprisms (where...

5-cell. Specifically, a k-simplex is a k-dimensional polytope that is the convex hull of its k + 1 vertices. More formally, suppose the k + 1 points u 0 ,...

identical: (a) A {\displaystyle A} ; (b) the convex hull of A {\displaystyle A} ; (c) the balanced hull of A {\displaystyle A} ; (d) the σ ( X , Y , b...

first in the sequence of 6 convex regular 4-polytopes, in order of volume at a given radius or number of vertexes. The convex hull of two 5-cells in dual...

in a projective space of dimension n. A convex basis of a polytope is the set of the vertices of its convex hull. A cone basis consists of one point by...

parallel edges, described as 85 belts. The rhombic icosahedron forms the convex hull of the vertex-first[clarification needed] projection of a 5-cube to 3...

+ √5/2⁠ is the golden ratio. The truncated icosidodecahedron is the convex hull of a rhombicosidodecahedron with cuboids above its 30 squares, whose...

hypercube graph. A unit hypercube of dimension n {\displaystyle n} is the convex hull of all the 2 n {\displaystyle 2^{n}} points whose n {\displaystyle n}...

regular convex 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,3,4}. It is one of the six regular convex 4-polytopes...

function's convex hull. Let I ⊂ R {\displaystyle I\subset \mathbb {R} } be an interval, and f : I → R {\displaystyle f:I\to \mathbb {R} } a convex function;...

use. A convex hull is the smallest convex volume containing the object. If the object is the union of a finite set of points, its convex hull is a polytope...