This article is about the robotic concept. For the TV channel, see STAR World

STAR World

STAR World is an Asian English language cable and satellite television network owned by Star TV and Fox International Channels, fully owned subsidiaries of News Corporation. The channel is the successor of STAR Plus, a subsidiary of News Corporation...

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Star worlds are mathematical concepts used in robot navigation. Essentially, a star world is any n-dimensional shape that can be mapped to a sphere world

Sphere world

A sphere world is a mathematical concept used in robotic motion planning. Essentially, if the environment is represented as a sphere, and the robot and obstacles within the environment are represented as spheres, then it is possible to construct navigation functions which create paths from a start...

 of the same dimension. For example, a cube is a star world because every point on the box can be mapped

Continuous function

In mathematics, a continuous function is a function for which, intuitively, "small" changes in the input result in "small" changes in the output. Otherwise, a function is said to be "discontinuous". A continuous function with a continuous inverse function is called "bicontinuous".Continuity of...

 onto a sphere, and a pentagon is a two dimensional star world because every point on its perimeter can be mapped onto a circle.

Star worlds are useful for modeling simple worlds, robots and obstacles. To model more complex robots, one needs to construct a forest of stars

Forest of stars

A forest of stars is a set of star worlds whose adjacency matrix is a tree. This means that no intersecting star worlds create a cycle, or hole, in the overall space. If an object or space can be represented by a forest of stars, it can be mapped onto a sphere-world by mapping each star world...

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