1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted

Similar Discussions: Linear Interpolation
  1. Linear Spaces (Replies: 2)

  2. Linear maps (Replies: 3)

  3. Linear Relationships (Replies: 2)