How can I create a three-dimensional surface from unsorted coordinates in MATLAB 7.4 (R2007a)?

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MathWorks Support Team 2009-6-27

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https://ww2.mathworks.cn/matlabcentral/answers/100668-how-can-i-create-a-three-dimensional-surface-from-unsorted-coordinates-in-matlab-7-4-r2007a

I have vectors of X, Y and Z coordinates which are not sorted according to the nearest neighbor criterion. I would like to be able to create and render a surface using this data using in-built functions in MATLAB. Would this data be usable with the SURF function?

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Answer 1

MathWorks Support Team 2009-6-27

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/100668-how-can-i-create-a-three-dimensional-surface-from-unsorted-coordinates-in-matlab-7-4-r2007a#answer_110017

The function SURF expects a neat rectilinear grid to be supplied to it before it can render the surface. It is not possible to use this function directly to render a surface with unordered coordinates.

As a workaround the function TRISURF can be used to create the surface in conjunction with the DELAUNAY function. The DELAUNAY function performs the triangulation and returns a mx3 matrix "Tri" which defines each triangle used to render the surface. Each row of "Tri" defines a single triangular face by indexing into the vectors or matrices that contain the X, Y, and Z vertices. This "Tri" matrix can then be used with TRISURF to generate the surface.

The following code illustrates the use of DELAUNAY and TRISURF to generate a surface:

load seamount;
tri = delaunay(x,y);
h = trisurf(tri, x, y, z);
axis off
l = light('Position',[-50 -15 29])
set(gca,'CameraPosition',[208 -50 7687])
lighting phong
shading interp
colorbar EastOutside
axis vis3d