Axis-aligned object

In this article we are going to talk about Axis-aligned object, a topic that has been the subject of debate and discussion over the years. Axis-aligned object is a topic of great relevance in today's society, since it affects different areas of daily life, such as health, politics, culture and the economy. Throughout history, Axis-aligned object has played a fundamental role in forming identities and building communities. In this sense, it is important to analyze the impact that Axis-aligned object has had in different contexts and how it has evolved over time. Through this article, we aim to address different perspectives and aspects related to Axis-aligned object, in order to offer a comprehensive and enriching vision on this topic.

This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources: "Axis-aligned object" – news · newspapers · books · scholar · JSTOR (October 2023) (Learn how and when to remove this message)

In geometry, an axis-aligned object (axis-parallel, axis-oriented) is an object in n-dimensional space whose shape is aligned with the coordinate axes of the space.

Examples are 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 geometry allow for faster algorithms when restricted to (collections of) axis-oriented objects, such as axis-aligned rectangles or axis-aligned line segments.

A different kind of example are axis-aligned ellipsoids, i.e., the ellipsoids with principal axes parallel to the coordinate axes.

References

1. ^ "3D collision detection - Game development | MDN". developer.mozilla.org. 2023-07-07. Retrieved 2023-10-01.