Sum overlapping region using surf

Dear all,

I'm new in matlab and i'm doing some difficult stuff I guess...

I have 9 matrix (x1,y1,tl1, x2,y2,tl2 and x3,y3,tl3).

(x1,y1,tl1) correspond to the x and y coordinates of the transmission1

(x2,y2,tl2) correspond to the x and y coordinates of the transmission2

(x3,y3,tl3) correspond to the x and y coordinates of the transmission3

The dimension of x's is=20x19

The dimension of y's is=20x19

The dimension of tl's is=20x19

I'm plotting this three groups of matrixes using surf(x1,y,1,tl1) and surf(x2,y2,tl2) and surf(x3,y3,tl3) which gives me three overlapping circles.

First problem:

I need to sum the intersection/the overlapping region between these three plots

Second problem:

I will need to do the same for a n number circles (xn,yn,tln)

Thanks in advance for your help.

[Walter Roberson]

surf() just draws. It cannot calculate intersections.

[Ricardo Duarte]

Yes I know that. Probably I was not clear.

What I want is a matrix composed by the sum of tl1,tl2 and tl3 in a region that they intersect each other and the remaining area (see the figure attached).

Thank you in advance

[Walter Roberson]

Are your grids individually regularly spaced? Would they happen to be spaced the same, just with different starting points?

You mention circles: does that imply that you have curvilinear coordinates, or does that imply that some of your coordinates are nan to indicate areas not filled?

[Ricardo Duarte]

I don't have any grid (I guess)...

But definetly they have different starting points.

I attached a .mat file with 2 of my matrices.

Thanks for your help.

[Walter Roberson]

That's not a circle. Do you need the data to be projected into 2D and intersection done for that, or should intersection be done in 3D?

S = load('x_y_tl.mat')

S = struct with fields:
    tl1: [20×19 double]
    tl2: [20×19 double]
     x1: [20×19 double]
     x2: [20×19 double]
     y1: [20×19 double]
     y2: [20×19 double]

surf(S.x1, 'edgecolor', 'none')

surf(S.y1, 'edgecolor', 'none')

surf(S.tl1, 'edgecolor', 'none')

surf(S.x1, S.y1, S.tl1, 'edgecolor',  'none')

[Ricardo Duarte]

Hello Walter Roberson,

In fact the x and y are the matricis containing the coordinates and the tl contains de information regarding the transmission loss respecting that coordinates.

Taking into account the images you sent what I need is something like the last one (surf(x1,y1,tl1)). However, I want to sum the tl1 and tl2 in the region that they intersect in their x,y axes.

Thanks once again.