Find intersection of two matrices of data.

I have 2 matrices of data, each two dimensions, and I want to find the points at which the lines from these matrices would intersect. Neither matrix is derived from an equation, simply arbitrary points that form a line. What command or process must i use in order to find these Points of Intersection?

Answer 1

[Star Strider]

One possibility:

A = randi(99, 10, 15);                  % Create Data
B = randi(50, 15, 10);                  % Create Data

[C,ia,ib] = intersect(A,B);             % Intersection Indices

[Ar,Ac] = ind2sub(size(A), ia);         % Convert Indices To Matrix Subscripts
[Br,Bc] = ind2sub(size(b), ib);         % Convert Indices To Matrix Subscripts

This works, but I haven’t rigorously checked it with the matrices.

[Andrew Wiebe]

Will the intersect command only find shared points that are already established or will it interpolate the intersection if it is in-between some defined points?

[Walter Roberson]

intersect() will not interpolate.

Your question is not generally solvable as you give no information about the intended shape of the lines. For any given finite set of points, there is an infinite number of continuous functions that would exactly match those values at the given location, but each of those continuous functions is a different line.