Interpolation from a table

I have a range of values:

-10000 0 10000 20000 30000 40000 50000 60000

0.0 1.2600 1.0000 0.7400 0.5340 0.3720 0.2410 0.1490 0

0.2 1.1710 0.9340 0.6970 0.5060 0.3550 0.2310 0.1430 0

0.4 1.1500 0.9210 0.6920 0.5060 0.3570 0.2330 0.1450 0

0.6 1.1810 0.9510 0.7210 0.5320 0.3780 0.2480 0.1540 0

0.8 1.2580 1.0200 0.7820 0.5820 0.4170 0.2750 0.1700 0

1.0 1.3690 1.1200 0.8710 0.6510 0.4750 0.3150 0.1950 0

1.2 1.4850 1.2300 0.9750 0.7440 0.5450 0.3640 0.2250 0

1.4 1.5941 1.3400 1.0860 0.8450 0.6280 0.4240 0.2630 0

Number going accross the top, altitude in feet. Numbers going down the side are Mach numbers, the values in the middle are the percentage of maximum thrust to fly in those conditions. I need to be able to interpolate values that may fall inbetween the set increments, so if i were to need the relative thrust at 0.3 Mach, 25,000 feet.

I am easily confused by Matlab so any help would be really appreciated

Answer 1

[Star Strider]

Try this:

T = [1.2600  1.0000  0.7400  0.5340  0.3720  0.2410  0.1490  0
     1.1710  0.9340  0.6970  0.5060  0.3550  0.2310  0.1430  0
     1.1500  0.9210  0.6920  0.5060  0.3570  0.2330  0.1450  0
     1.1810  0.9510  0.7210  0.5320  0.3780  0.2480  0.1540  0
     1.2580  1.0200  0.7820  0.5820  0.4170  0.2750  0.1700  0
     1.3690  1.1200  0.8710  0.6510  0.4750  0.3150  0.1950  0
     1.4850  1.2300  0.9750  0.7440  0.5450  0.3640  0.2250  0
     1.5941  1.3400  1.0860  0.8450  0.6280  0.4240  0.2630  0];

Altv = [-10000       0   10000   20000   30000   40000   50000   60000];
Mv = 0:0.2:1.4;

[Altm,Mm] = meshgrid(Altv, Mv);

Thrfcn = @(Mach,Altft) griddata(Mm, Altm, T, Mach, Altft);

with:

Thrust = Thrfcn(0.3, 25000)

producing:

Thrust =
    0.4305

This appears to be in the correct range, looking at the table.

EDIT — (11 Nov 2020 at 21:08)

Visualising it:

.