Intersection points between a line and trisurf plot

I am looking to draw a random line on a trisurf plot and get intersection coordinates and property data about the elements which lie along this line.

For example I have data which looks like the following:

 close all
 % trisurf plot with random properties
 [x,y] = meshgrid(1:19,1:19);
 tri = delaunay(x,y);
 z = zeros(size(x));
 [m,n] = size(x);
 F = randi([2,5],1,1);
 C = randi([1,F],m*n,1);
 trisurf(tri,x,y,z,C)
 axis ([0,20,0,20])
 colormap colorcube
 hold on

 %generate random intersection line
 G = [0 20];
 A = [randi([0,20],1,1) G(randi(2))];
 B = [G(randi(2)) randi([0,20],1,1)];
 plot(A,B,'Color','r','LineWidth',2)

I was expecting an output in the format of matrix of x and y coordinate intersections and properties either side of intersection point eg [xcoord,ycoord,prop1,prop2]. Otherwise the property matrix can be done separately and just be a list of each element property along the randomly generated line.

Hope that makes sense. Thank you for your help.

Answer 1

[Dasharath Gulvady]

The below answer is probably what you are looking for:

http://www.mathworks.com/matlabcentral/answers/74848-intersection-of-a-surface-generated-by-scattered-points-and-a-line

[John Doe]

This doesn't explain how property data/values could be extracted from the mesh/plot