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Math Help - Need help finding coordinates from a map of 3D vectors.

  1. #1
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    Apr 2010
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    Need help finding coordinates from a map of 3D vectors.

    Hi all.
    I'm working on a height-map project and have run into a brick wall, so thought I'd try here for help.

    I have a map of 3D points or nodes. These are regularly spaced in 2 dimensions: x and z, but the y coordinate randomly varies.

    What I want to do is to find the y coordinate of an arbitrary point anywhere between my nodes, assuming that the nodes are connected by straight lines to their neighbours.

    eg.

    say I have 4 points.
    {0, 1.5, 0}
    {10, 3.5, 0}
    {0, 1.5, 10}
    {10, 4.5, 10}

    Can we find {5, y, 5} ?

    Many thanks for any pointers.
    Last edited by AndrewOfTheInternet; April 26th 2010 at 05:35 PM.
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  2. #2
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    Apr 2010
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    I now understand I should divide my map into triangles, and use barycentric coordinates to solve y. Should be OK now.
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