March 2017
Intermediate to advanced
480 pages
11h 3m
English
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AABB-to-OBB
Testing if an AABB and an OBB overlap can be done using the Separating Axis Theorem (SAT). This test will require a total of 15 axes to be tested. Chapter 5, 2D Collisions, provides an in-depth explanation of how the SAT works. The 15 axes of potential separation are:
- The three axes of the AABB (world X, Y, and Z)
- The three axes of the OBB (the OBB's orientation matrix)
- 9 axes come from the cross-products of the three axes of the AABB and the three axes of the OBB. We take the cross product of every combination of these axes. Lists these nine combinations:
AABB.XAxis x OBB.XAxis
AABB.YAxis x OBB.XAxis
AABB.ZAxis x OBB.XAxis
AABB.XAxis x OBB.YAxis
AABB.YAxis x OBB.YAxis
AABB.ZAxis x OBB.YAxis
AABB.XAxis x OBB.ZAxis
AABB.YAxis x ...
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