How sampling 3d scattered points

Hi everyone,

I have a 3D matrix that represents the coordinates of 108 points in the 3d Cartesian space. So, for every row, i have the coordinates of a point. These points represent the centerline of a leaflet of the mitral valve.

My goal is to sample this points in order to pass from 108 points to 32 points keeping the same shape of the centerline of the leaflet of the mitral valve of the 108 points.

How can i do this?

Thanks in advance for the help.

I have attached also a figure that represents the position of the points.

Lorenzo

Answer 1

[Ameer Hamza]

One option is to use interp1()

X = rand(108, 3);

t = linspace(0,1,size(X,1));
t_new = linspace(0,1,32);
X_new = interp1(t, X, t_new);

[Lorenzo Bennati]

Dear Ameer,

Thanks for the answer.

To be sure, if i want to give as imput my matrix S to the function rand, how can i do? Because the output X_new does not represent my centerline

Thanks in advice

[Ameer Hamza]

rand(108,3) is just an example, If you matrix name is S, you can change X to S

t = linspace(0,1,size(S,1));
t_new = linspace(0,1,32);
S_new = interp1(t, S, t_new);

Note: this assumes that matrix is 108x3, i.e., each row is a point.

[Lorenzo Bennati]

Thank you very much for the help

[Ameer Hamza]

I am glad to be of help!!!