test intersection of 2 rectangles

Version (1.99 KB) by timo
Hyperplane separation theorem Author: Dan Oprisan/Timofte Bogdan


Updated 29 Aug 2013

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Two convex objects do not overlap iff there exists a line (called axis) onto which the two objects' projections do not overlap.

SAT suggests an algorithm for testing whether two convex solids intersect or not.

Regardless of dimensionality, the separating axis is always a line. For example, in 3D, the space is separated by planes, but the separating axis is perpendicular to the separating plane.

The separating axis theorem can be applied for fast collision detection between polygon meshes. Each face's normal or other feature directions is used as a separating axis, as well as the cross products. Note that this yields possible separating axes, not separating lines/planes.

If the cross products were not used, certain edge-on-edge non-colliding cases would be treated as colliding. For increased efficiency, parallel axes may be calculated as a single axis.

Cite As

timo (2023). test intersection of 2 rectangles (https://www.mathworks.com/matlabcentral/fileexchange/43230-test-intersection-of-2-rectangles), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2010b
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