Relative convex hull information

geometry 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...

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...

learning resources about Convex combination Affine hull Carathéodory's theorem (convex hull) Simplex Barycentric coordinate system Convex space Rockafellar,...

equivalent to being closed. For any convex set C ⊆ R n {\displaystyle C\subseteq \mathbb {R} ^{n}} the relative interior is equivalently defined as relint...

The polynomially convex hull contains the holomorphically convex hull. The domain G {\displaystyle G} is called holomorphically convex if for every compact...

Graham's scan is a method of finding the convex hull of a finite set of points in the plane with time complexity O(n log n). It is named after Ronald...

Closed hulls In a locally convex space, convex hulls of bounded sets are bounded. This is not true for TVSs in general. The closed convex hull of a set...

problems in mathematical programming can be formulated as problems on convex sets or convex bodies. Six kinds of problems are particularly important:: Sec.2 ...

bounding box of a point set is the same as the minimum bounding box of its convex hull, a fact which may be used heuristically to speed up computation. In the...

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...

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

convex hull of a regular polygon with an odd number of vertices. A less regular example is the cone in R3 whose base is the "house": the convex hull of...

{\displaystyle \mathbf {y} } . Figure 2 shows the convex hull in 3D. The center of the convex hull, which is a 2D polygon in this case, is the "smallest"...

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;...

Equivalently, a line segment is the convex hull of two points. Thus, the line segment can be expressed as a convex combination of the segment's two end...

subset of a vector space, the convex hull or affine hull of a subset of a vector space or the lower semicontinuous hull f ¯ {\displaystyle {\overline...

described to date: the prime polysphericons, the convex hulls of the two disc rollers (TDR convex hulls), the polycons and the Platonicons. Each developable...

Both the core and the algebraic closure of a convex set are again convex. If C {\displaystyle C} is convex, c ∈ core ⁡ C , {\displaystyle c\in \operatorname...

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...

hyperplane or maximum-margin hyperplane is a hyperplane which separates two convex hulls of points and is equidistant from the two. Hyperplane separation theorem — Let...

is a high-symmetry polyhedron containing convex regular polygons on symmetry axes with gaps on the convex hull filled by irregular polygons. The name was...

. Then the Newton polytope associated to f {\displaystyle f} is the convex hull of the vectors a k {\displaystyle \mathbf {a} _{k}} ; that is Newt ⁡...

connects alternate vertices. A vertex arrangement is often described by the convex hull polytope which contains it. For example, the regular pentagram can be...