In mathematics, an axis-aligned object (axis-parallel, axis-oriented) is an object in "n"-dimensional space whose shape is aligned with the
coordinate axesof the space.
axis-aligned rectangles (or hyperrectangles), the ones with edges parallel to the coordinate axes. Minimum bounding boxes are often implicitly assumed to be axis-aligned. A more general case is rectilinear polygons, the ones with all sides parallel to coordinate axes or rectilinear polyhedra.
Many problems in
computational geometryallow for algorithms with better computational complexitywhen restricted to (collections of) axis-oriented shapes.
A different kind of example are axis-aligned ellipsoids, i.e., the
ellipsoids with principal axes parallel to the coordinate axes.
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