Create a 2D grid from two matrices.

I need to create a 2D mesh like the following:

I have a matrix (8x10 digits) with the x-values and a matrix of the corresponding y-values but am unsure how to go about making such a figure. Please note that this is not a surface rather just an irregular 2D grid.

Any help is appreciated!

[Geoff Hayes]

Fiona - can you attach your data to your question?

[Fiona]

Sure can!

x =

   NaN   NaN   NaN    51    59    67    75    83   NaN   NaN
   NaN    35    43    51    59    67    75    83   NaN   NaN
    27    35    43    51    59    67    75    83    91   NaN
    27    35    43    51    59    67    75    83    91   NaN
    27    35    43    51    59    67    75    83    91   NaN
    27    35    43    51    59    67    75    83    91    99
   NaN    35    43    51    59    67    75    83    91   NaN
   NaN   NaN   NaN   NaN    59    67    75    83    91   NaN

and

y =

   NaN   NaN   NaN    15    15    15    15    15   NaN   NaN
   NaN    23    23    23    23    23    23    23   NaN   NaN
    31    31    31    31    31    31    31    31    31   NaN
    39    39    39    39    39    39    39    39    39   NaN
    47    47    47    47    47    47    47    47    47   NaN
    55    55    55    55    55    55    55    55    55    55
   NaN    63    63    63    63    63    63    63    63   NaN
   NaN   NaN   NaN   NaN    71    71    71    71    71   NaN

[KSSV]

The above data gives grid as below.

[Geoff Hayes]

Fiona - how do you expect to get the pattern that you have shown in the first image given the data from above? Do you have any other information that would allow you to create the "warped" mesh?

[Fiona]

Hi Dr. Kolukula - Thank you very much for that! It has helped me a lot!

Hi Geoff - It is just alternate matrices e.g.

x =

       NaN       NaN       NaN   50.3138   58.2592   66.5382   74.4113   82.1856       NaN       NaN
       NaN   34.1732   42.3385   50.1650   57.9590   66.2845   74.3104   82.0313       NaN       NaN
   25.4040   33.5838   42.1067   50.2883   58.3743   66.3658   74.3286   82.1521   90.0728       NaN
   25.1809   33.2010   42.0916   50.1822   58.1800   66.5739   74.4494   82.3883   90.8429       NaN
   24.2700   33.1020   41.5947   49.5275   57.7829   66.3376   74.3099   82.4189   91.0354       NaN
   23.8320   32.8710   41.4931   49.0314   57.3284   66.0947   73.6572   81.9820   91.0566   98.2906
       NaN   32.5039   41.2027   49.4193   56.7552   65.8748   73.7261   81.7959   91.1546       NaN
       NaN       NaN       NaN       NaN   57.1602   65.8605   73.3489   81.7461   90.2830       NaN
and
y =

       NaN       NaN       NaN   16.3536   16.1013   15.9052   15.5072   14.9984       NaN       NaN
       NaN   24.6162   24.7030   24.8744   24.6290   24.0949   23.9129   23.1813       NaN       NaN
   31.7503   32.1427   32.2886   32.7160   33.2189   31.6883   31.6267   31.3343   30.7359       NaN
   39.8911   39.7192   39.4006   39.6874   39.3796   39.0802   38.9713   38.4827   38.3843       NaN
   48.2262   47.3420   47.0032   47.3153   47.4042   47.1318   46.7267   46.3659   46.3590       NaN
   53.9719   55.0605   54.6965   54.4287   54.4090   54.3819   54.6384   54.7111   54.5891   54.1233
       NaN   62.8494   62.5870   63.0312   62.8189   62.3447   62.5794   61.8617   62.2778       NaN
       NaN       NaN       NaN       NaN   71.4008   70.1461   71.0315   69.9867   70.1037       NaN

Answer 1

[KSSV]

As you said you have 8X10 matrices of x and y. Use the function plotgrid from the link:

http://in.mathworks.com/matlabcentral/fileexchange/40681-transfinite-interpolation/content/TFI/plotgrid.m

[Fiona]

Brilliant. Thank you very much!