# Axis-aligned object

In mathematics, an

**axis-aligned object**(**axis-parallel**,**axis-oriented**) is an object in "n"-dimensional space whose shape is aligned with thecoordinate axes of the space.Examples are

axis-aligned rectangle s (orhyperrectangle s), the ones with edges parallel to the coordinate axes.Minimum bounding box es are often implicitly assumed to be axis-aligned. A more general case isrectilinear polygon s, the ones with all sides parallel to coordinate axes or rectilinear polyhedra.Many problems in

computational geometry allow for algorithms with bettercomputational complexity when restricted to (collections of) axis-oriented shapes.A different kind of example are axis-aligned ellipsoids, i.e., the

ellipsoid s with principal axes parallel to the coordinate axes.**References**

*Wikimedia Foundation.
2010.*

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