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Maths - Intersections of planes

The intersection of two planes is a straight line, provided that the planes are not the same or parallel.

Intersection

Checking for the intersection of geometric shapes is useful for collision detection.

rectangle intersection

This page explains how we can check for intersection of primitive shapes like:

  • Lines
  • Circles
  • Triangles
  • Rectangles (axis aligned and not)

There are approaches for more complex shapes, we can make the shapes from these primitives, we can also use the primitive shapes as a boundary around an object. Bounding shapes can be used as a quick check to eliminate the need to do more complex intersection tests on shapes that are not close.

More here

 


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Correspondence about this page

Book Shop - Further reading.

Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them.

cover New Foundations for Classical Mechanics (Fundamental Theories of Physics). This is very good on the geometric interpretation of this algebra. It has lots of insights into the mechanics of solid bodies. I still cant work out if the position, velocity, etc. of solid bodies can be represented by a 3D multivector or if 4 or 5D multivectors are required to represent translation and rotation.

Other Math Books

Commercial Software Shop

Where I can, I have put links to Amazon for commercial software, not directly related to the software project, but related to the subject being discussed, click on the appropriate country flag to get more details of the software or to buy it from them.

 

Can you help?

Please send me any improvements to here. I would appreciate ideas to make the pages more useful including error correction, ideas for new pages, improvements to wording. It helps if you quote the full URL of the page.

 

progam

I am working on a project which uses these principles, if you would like to help me with this you are welcome to join in, here:

http://sourceforge.net/projects/mjbworld/

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