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Linear Interpolation

  1. Jul 11, 2005 #1
    I have a 3-D traingle, and the edges are a,b,c. If I want to find a line interpolation at a point in the center, let's say that it's P(x,y)....

    My equations are
    [tex]\Delta Z[/tex] = A + Bx + Cy
    [tex]\Delta Z_a[/tex] = A + Bx_a + Cy_a
    [tex]\Delta Z_b[/tex] = A + Bx_b + Cy_b
    [tex]\Delta Z_c[/tex] = A + Bx_c + Cy_c

    In order to solve for [tex]\Delta Z[/tex], how do I use the above equations? Do I have to add them (equations 2,3,4) all up and substitute in A for the first equation?

    To find the coefficients, do I just solve for A,B,C after I know what [tex]\Delta Z[/tex] is?

    I also have to find out P(y) by assuming that I know what P(x,z) is. For this do I just substiture y for z to the same equations?

    Also, I have to find a best average planar rectangle from this.

    I'd appreciate any help.
    Last edited: Jul 11, 2005
  2. jcsd
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