basic question on how to find mean distance between an interior point and all of the vertex points of the convex hull

Hi,

I know how to get the convex hull of a set of 3 dimensional points:

% Create the data.

n = 50;

X = randn(n,3);

% Plot the points.

plot3(X(:,1),X(:,2),X(:,3),'ko','markerfacecolor','k');

% Compute the convex hull.

C = convhulln(X);

I have certain interior base locations and I want to determine the average (mean) distance between the base location and all other points on the vertex of the convex hull. How do I do this easily? Thank you for your time

Andrew

Answer 1

[Laurens Bakker]

Hi Andrew,

If you have the Statistics toolbox, use the pdist function to compute the distance between a vector of points and a single point. Otherwise, do it by hand:

P = unique( C, 'rows' );
dist = sqrt(sum( bsxfun(@minus,P,yourBaseLocation) .^ 2, 2 ));

I used Euclidean distance: sqrt(sum( (A - B)^2 ))

Cheers,

Laurens