deleting some of the arrays in a matrix based on a principle

Hello

I have a matrix of numbers for example: [10; 20; 30; 40; 50; 60; 70; 80; 90;...;160] which are assigned to a mesh in order, the same as the figure below(element size=10). I want to delete the numbers: 40, 80, 120, 160 based on a line which intersects this mesh and only retain [10;20;30;50;60;70;90;100;110;130;140;150] to be my output. How can I code this? Any suggestion is highly appreciated.

Best Regards

Pooneh

[Matt J]

What is the relationship to the line which determines which values get deleted?

[Pooneh Shah Malekpoor]

This is an example line drawn from the top corner of the highest elements to the bottom corner of the first row elements. This line shows the slope of the geometry which I am going to assign values to its elements.

[Pooneh Shah Malekpoor]

the final meshing of the geometry should be like this figure:

Answer 1

[Matt J]

A=reshape(10:10:160,4,4)

A = 4×4

10 50 90 130 20 60 100 140 30 70 110 150 40 80 120 160

[M,N]=size(A);
[X,Y]=ndgrid(0:M-1,0:N-1);

test=@(x,y) y+4*x-12<=-1e-6; %test if x,y is below the line with 1e-6 tolerance.


keep=test(X,Y)|test(X+0.5,Y)|...  %keep a cell if any of its 4 corners is below the line
     test(X,Y+0.5) | test(X+0.5,Y+0.5); 

result=A(keep)' %[10;20;30;50;60;70;90;100;110;130;140;150] 

result = 1×12

10 20 30 50 60 70 90 100 110 130 140 150