Orthogonal convex hull
id:
orthogonal-convex-hull-286-6769511
title:
Orthogonal convex hull
text:
In geometry, a set K ⊂ Rd is defined to be orthogonally convex if, for every line L that is parallel to one of standard basis vectors, the intersection of K with L is empty, a point, or a single segment. The term "orthogonal" refers to corresponding Cartesian basis and coordinates in Euclidean space, where different basis vectors are perpendicular, as well as corresponding lines. Unlike ordinary convex sets, an orthogonally convex set is not necessarily connected. The orthogonal convex hull of a
brand slug:
wiki
category slug:
encyclopedia
description:
Minimal superset that intersects each axis-parallel line in an interval
original url:
https://en.wikipedia.org/wiki/Orthogonal_convex_hull
date created:
date modified:
2023-12-18T10:27:39Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/e0/Orthogonal-convex-hull.svg","width":334,"height":307}
fields total:
13
integrity:
15