Triangle Interpolation: Find Exact Value
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Hi everyone,
I have a triangle with vertices:
coordinates=[0.397500000000000,0.402500000000000,0.400000000000000;0.615285115251741,0.615285115251741,0.619615242270663];
and i know the temperature on each of them:
temperature=[1.228022937634222e+02;1.228022937634234e+02;6.798453477959490e+02];
I would like to find the coordinates of some points (equally spaced including the two on the sides) that have a fixed value of temperature. Let's suppose:
Tfixed=650;
Is there a way to do this?
The same thing must be done on an arbitraty traingle with vertices that could not be symmetric.
Thanks in advance for the reply.
采纳的回答
Daniel Neubauer
2022-11-4
your 2D-triangle with temperature can be treated as a 3d plane defined by the three points in [x y z] such as
vertex=[x y t]
then calculate the equation for the resulting 3d plane and set equal to z=Tfixed.
the resulting line is the equation of all points having the desired temperature.
2 个评论
John D'Errico
2022-11-4
... and the intersection of that line with the edges of the triangle will produce the desired interpolated points along the edges.
Riccardo Mari
2022-11-7
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