How to simplify x and y coordinates or numbers

I have multiple matrix with different x and y variables

Mr2 =
  217.9198  394.7466
  220.3522  288.1925
  226.7584  194.7277
  319.1827  396.4066
  320.9901  293.0322
  323.9730  194.6844
  423.4146  297.8831
  426.0054  399.2974
  424.8713  198.3911
  
  
Mg3 =
  257.5755  266.5336
  259.3048  360.6109
  256.0792  180.9467
  351.4200  263.9756
  350.5972  175.4610
  356.0210  365.4651
  440.5966  171.9462
  444.4349  264.3318
  453.3330  360.0456

I need to convert these to simpler numbers, while keeping the x and y values together

Looking at Mr2;

The three lowest values in the x column would be called 1, the three middle values would be called 2, the three highest values would be called 3.

This would work the same way in the y columns also.

The issue I am having, I am not able to find a way to do this, because the order changes, I will demonstrate the output below

  Mr2 = 
  1 3
  1 2
  1 1
  2 3
  2 2  
  2 1
  3 2
  3 3
  3 1
  
  
  Mg3 = 
  1 2   
  1 3
  1 1
  2 2
  2 1
  2 3
  3 1
  3 2
  3 3

Keep in mind that the values in the origional Mr2 and Mg3 are able to be changed, so they might have the lowest values in the 80s or the hightest in the 600's

let me know any ideas you may have, I am newer to matlab, so its a bit tough

Answer 1

[Image Analyst]

Try discretize():

Mr2 =[...
  217.9198  394.7466
  220.3522  288.1925
  226.7584  194.7277
  319.1827  396.4066
  320.9901  293.0322
  323.9730  194.6844
  423.4146  297.8831
  426.0054  399.2974
  424.8713  198.3911]
  
  
Mg3 =[...
  257.5755  266.5336
  259.3048  360.6109
  256.0792  180.9467
  351.4200  263.9756
  350.5972  175.4610
  356.0210  365.4651
  440.5966  171.9462
  444.4349  264.3318
  453.3330  360.0456]
Mr2 = discretize(Mr2, 3)
Mg3 = discretize(Mg3, 3)

[Conner Carriere]

This works for some of them, but it did not work for all, for example

Mo =

  261.7609  293.3977
  263.7386  203.8243
  266.0393  382.0060
  347.7693  202.2619
  351.9047  286.8964
  354.7944  377.7990
  439.3512  196.7476
  445.0149  285.3035
  445.9264  377.8791

The output was

Mo = discretize(Mo,3);
  
  Mo =

     2     2
     2     1
     2     3
     2     1
     2     2
     2     3
     3     1
     3     2
     3     3

Is there any way to further refine this, as it gave me to many 2's in the x.

Overall, this did help me quite a bit, thank you @Image Analyst

[Image Analyst]

If passing in the number of levels doesn't split it up the way you like it, you can use the option where you pass in "edges" which are the dividing values between all the different levels that you'd like to use.

Answer 2

[darova]

Try meshgrid()

[x,y] = meshgrid(1:4,1:3);
[x(:) y(:)]