清空筛选条件
清空筛选条件

Triangle Interpolation: Find Exact Value

1 次查看（过去 30 天）
Riccardo Mari
Riccardo Mari 2022-11-4
评论： Riccardo Mari 2022-11-7
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.

请先登录，再回答此问题。

采纳的回答

Daniel Neubauer
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
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
Riccardo Mari 2022-11-7
Thank you both for the idea! That worked perfectly.

请先登录，再进行评论。

更多回答（0 个）

类别

在 Help Center 和 File Exchange 中查找有关 Interpolation 的更多信息

标签

产品


版本

R2022a

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by