extrude a 2d patch/surface to 3d volume

from a set of data points, I have already plotted a 2d surface and now I would like to extrude it as a volume, just like in any CAD software. for simplicity, I have attached a picture of a simple patch with the coordinates and so, I would like to add thickness to it in z-direction.

Answer 1

[Ayush]

Hi Saad,

I understand that you want to extrude your 2D patch into a 3D volume by adding some thickness in the Z-direction.

It can be done in the following manner:

1. Add the z-coordinates in your vertex matrix (in your case variable “x”). Here is a sample code for your reference:

% Create the vertex matrix with added z-coordinate for extrusion
vertices = [   
x, zeros(size(x, 1), 1);   % Original vertices with z-coordinate = 0
x, ones(size(x, 1), 1);    % Vertices extruded in the z-direction with z-coordinate = 1
];

2. Add the corresponding faces to the face matrix (in your case variable “y”). Here is a sample code for your reference:

faces = [
    1, 2, 4, 3;   % Face 1 (vertices 1, 2, 4, 3) 
    1, 2, 6, 5;   % Face 2 (vertices 1, 2, 6, 5) 
    1, 3, 7, 5;   % Face 3 (vertices 1, 3, 7, 5) 
    .
    .
    .
];

3. Use the “patch” function to make the respective polygon. You can refer to the below documentation to know more about the “patch” function:

- Create patches of colored polygons - MATLAB patch - MathWorks India

4. Add the line of code “view(3)” to visualise the 3D volume. You can refer to the below documentation to know more about the “view” function:

- Camera line of sight - MATLAB view - MathWorks India

Hope this helps,

Regards,

Ayush Misra