Ellipsoid volume cut by a plane

6 views (last 30 days)
Sakshi on 12 Jul 2011
I have an ellipsoid at a random orientation and position in space. This ellipsoid is to be cut by a plane parallel to the xy plane. How can I determine the volume of ellipsoid below the intersection ?

Answers (1)

Michael on 12 Jul 2011
I think you'll need to give a bit more information about your situation in order to get a useful answer. What have you done so far?
  1 Comment
Sakshi on 12 Jul 2011
I have defined the ellipsoid using function, 'ellipsoid'. Then I carried out the rotation and translation. This is a processs done for 100 ellipsoids.AFter placing all the ellipsoids in a cube of 100 length, I am cutting the cube by planes parallel to xy planes and getting the total volume of ellipsoids below each plane.So for ellipsoids, fully inside the plane, the volume is full. However, My query is for those ellipsoids that are cut by the plane and I only need the volume of the ellipsoid below the plane.

Sign in to comment.

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!