Imagesc for triangular element

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Torkan 2019-2-3

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https://ww2.mathworks.cn/matlabcentral/answers/442881-imagesc-for-triangular-element

评论： KSSV 2019-2-4

Hi,

I have a plate with mesh of triangular elements. I have specific number for each element. How can I use imagesc to have contourplot of those values? it is different from trisurf function of course?

Thanks

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Answer 1

KSSV 2019-2-4

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https://ww2.mathworks.cn/matlabcentral/answers/442881-imagesc-for-triangular-element#answer_359350

YOu can straight away plot contour with your data. Have a look in the following file exchange function: https://in.mathworks.com/matlabcentral/fileexchange/38858-contour-plot-for-scattered-data

If you want to use imagesc you have to convert your unstructured data into structured data either by using scatteredinterpolant or griddata.

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Walter Roberson 2019-2-4

The triangular element makes it a bit more difficult. Scattered interpolation works on the premise that the data is given for particular points and that there is some smooth transition to the values of other points that are given. Triangular elements, though, assert that the entire area within the triangle has a particular value, so to run a scattered interpolation you first have to subdivide the triangle into a number of sections each of which you approximate point-wise with the given value.

Triangular meshes are frequently used to model stresses and bending. The faces are not necessarily small and localized: they could end up large, or they could end up long and thin.

Depending on what is being modeled, variation in values are sometimes considered to be only along the edges, with the faces being considered to be rigid and inflexible. In such a case, a contour plot must follow edges: if there are two adjacent faces with different values, then a value between the two might not exist at some location between the two that is proportionate to the difference in value: the intermediate values might be considered to all exist simultaneously along the edges.

But there are certainly other cases where the intention is that the triangles are small and that taking them as point sources is fine, in which case plain scattered interpolation might be fine.

Thus we need to know more about the meaning of the triangulation to be sure of offering an appropriate solution.