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Checking for a point inside a region of a spherical surface

  1. Jun 23, 2008 #1
    Hi everybody,

    I am working on a 3D Sphere rotation algorithm.

    I have a point X lying on a unit sphere in the spherical coordinate system. I have divided the sphere in regions or areas delimited by 3 (polar areas) and 4 points which are also on the unit sphere. The regions have different labels.

    I need to find out on which spherical surface (region 1,2,...) lies point X. Then, when I randomly rotate the sphere but kept fixed point X, which will be the new region? I need something general to handle any rotation of the sphere.

    Can any one tell me how to do this?

    Thanks a lot in advance.

  2. jcsd
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