Creating plans and 3D shapes with x,y,z coordinates.

Hi everyone,

I am trying to generate different 3D shapes with matlab. The idea is to represent a coral reef (picture attached). I could like the edge of the reef to have a concave shape. To get this shape I am using the elipse equation:

t = linspace(0,pi);

xe = 4 + 4*cos(t);

yconv = 5 + 5*sin(t);

plot(yconv,xe)

axis equal

I am trying to think of a way to do it but I am not sure how to start it.

Any ideas would be great. Thanks a lot

Raphael

Answer 1

[KALYAN ACHARJYA]

There may be subjective related toolboox/CAD tool to design such surfaces. You may try with surf plot, here on eexample. Here you have to find the values ​​of the z-direction array elements, such that it reflects the same plot.

a=1:10;
b=1:10;
c=[ones(4,10);1.5*ones(2,10);2*ones(4,10)];
% Add step in c data 
surf(a,b,c);
grid on;

[Raphael Krier]

Hi Kalyan,

Thanks for your reply.

I managed to create the bathymetry I wanted. I first created a vector containing the y coordinates (dy=1m). I generated a vector containing the desired x coordinate (distance of each contour from the x0 origine for a given y). So for each contour I have two vectors y and corresponding x coordinates with dy=1m.

Then I used trigonometry to obtain z coodinates of each contour line for a given y (because I wanted a given gradient for each platform).

Finaly I used interp1 to interpolate the cross section on a dx=1m interval. Using a loop I obtained the cross section (x,z) for each y coordinates and stored them in a matrix.

Just out of curiosity, do you have a link to the CAD toolbox?

Thanks again,

Raphael

[KALYAN ACHARJYA]

OK,

This one ?

https://in.mathworks.com/products/connections/product_detail/cadlab.html