Contour plot other than contour lines with gnuplot

Question

I have generated the contour plot with my data Data to plot. The output looks like contour lines. I am now trying to fill the contour plot with colors. There is a previous post about it http://gnuplot-tricks.blogspot.com/2009/07/maps-contour-plots-with-labels.html and I have followed the instructions and modified as:

 set xrange [0:32]
 set yrange [0:32]
 set table 'test.dat'
 splot "contour.dat"
 unset table

 set contour base
 set cntrparam level incremental 0, 0.1, 1
 unset surface
 set table 'cont.dat'
 splot "contour.dat"
 unset table

 reset
 set xrange [0:32]
 set yrange [0:32]
 unset key
 set palette rgbformulae 33,13,10
 p 'test.dat' with image, 'cont.dat' w l lt -1 lw 1.5 

But my plot has this appearance after new code. The gnuplot shows the warning and the output message is

 warning: Cannot contour non grid data. Please use "set dgrid3d".
 warning: Skipping data file with no valid points

I have set it there but still the appearance does not change.

Now the question is which option or command is missing or should be used to get the colored filled contour map? I am also checking the book https://www.manning.com/books/gnuplot-in-action-second-edition but still could not find the commands for that kind of plot.

The data is

0.9999      0.982523158 0.891048477 0.583411178 0.235163401 0.040130025 1.00E-05    1.00E-05    1.00E-05    0.035682725 0.005428697 0.020932041 0.029782838 0.022353315 0.01152723  1.00E-05    0.002663218 0.004234385 0.004785793 0.00412414  1.00E-05    1.00E-05    0.000580796 0.025190766 0.19110765  0.507916237 0.821045769 0.976541983 0.979832098 0.9999      0.944161278 0.720159779
0.9999      0.973067478 0.824509858 0.515498258 0.196714659 0.02215662  0.001930433 0.031876894 0.033140536 0.029554456 1.00E-05    0.007143897 0.001566911 1.00E-05    0.037378856 0.005977127 0.013283047 0.022265608 0.01827373  0.007627014 0.000167961 0.035911698 0.036163972 0.007598274 0.102779682 0.342304319 0.629002943 0.835660968 0.915237217 0.902408744 0.785948515 0.542827623
0.851954648 0.800884814 0.615992685 0.342731798 0.104482546 0.011840285 0.029469663 1.00E-05    1.00E-05    1.00E-05    1.00E-05    1.00E-05    0.026375308 1.00E-05    0.02072085  0.074807389 0.138750288 0.16703943  0.139979059 0.076340868 0.018197414 0.002778291 1.00E-05    0.001484506 0.029011079 0.156574172 0.354646905 0.536402725 0.63287085  0.618777015 0.493896783 0.291684717
0.51718903  0.466202811 0.319405608 0.140714994 0.025865626 0.036049337 1.00E-05    1.00E-05    0.03219016  0.033409853 0.033651765 0.03030058  0.031169542 0.021333766 0.129627995 0.296292679 0.435977458 0.487461936 0.428265336 0.281984362 0.118289641 0.018805742 0.003774484 0.034996285 0.00425743  0.035138289 0.120141077 0.217615538 0.277655039 0.264475233 0.185260535 0.084939547
0.182475138 0.154880431 0.086665517 0.024041383 0.005459017 1.00E-05    0.000300364 0.043848781 0.044965735 0.007238176 0.005801704 1.00E-05    0.007316639 0.101489626 0.33036401  0.593649916 0.775870253 0.830501755 0.762936865 0.563999169 0.294543097 0.083684955 0.006607316 0.003366544 1.00E-05    0.003892168 0.016420963 0.037723106 0.052984926 0.044641457 0.024308647 0.046347832
0.027792756 0.020341271 0.014089586 0.009340287 0.04140216  0.040595247 0.005715897 0.011470496 0.01468797  0.016993293 0.018003174 0.009720034 0.028838961 0.197733013 0.51363769  0.817260396 0.96815601  0.998483647 0.958424324 0.78195343  0.462313354 0.163142698 0.0210613   1.00E-05    0.002384908 0.004043211 0.004081986 0.001265788 0.000120176 0.033084563 0.030668279 1.00E-05
0.007059003 0.003655667 0.011870197 0.009394357 0.005385329 0.039035408 0.006462258 0.011999697 0.019544602 0.016464843 0.012776067 0.007972404 0.045957337 0.247832319 0.599513951 0.899196477 0.984366576 0.9999      0.977961991 0.862585385 0.541393207 0.205948244 0.033390224 0.004231    0.004866654 0.003014723 0.003623085 0.00187932  1.00E-05    1.00E-05    1.00E-05    1.00E-05
0.008747924 0.006830015 0.014403608 0.025626224 0.023730515 0.016681035 0.010401817 0.014135891 0.009650236 0.011045515 0.011609941 0.008865041 0.04281916  0.224693147 0.556126845 0.862259058 0.988832111 0.9999      0.980062911 0.820917478 0.498814169 0.184628171 0.028344465 0.003697355 0.0037474   0.003280804 0.003662558 0.002633438 0.000490997 0.00246968  0.02823553  0.031421351
0.015944971 0.04531812  0.109587044 0.175429872 0.199666866 0.165080497 0.094843153 0.03467632  0.01092787  0.010232922 0.011397636 0.009907805 0.026496074 0.144796819 0.401124894 0.68543129  0.862253462 0.906029432 0.840654843 0.641230414 0.352902499 0.114138909 0.014896994 0.003670062 0.003785455 0.0035948   0.006942384 0.019376903 0.037414369 0.042572183 0.027487039 0.008993108
0.061420875 0.191851435 0.367956007 0.505609288 0.550796197 0.485835936 0.330221357 0.153196235 0.041624218 0.010933452 0.009038844 0.008733224 0.012950915 0.060160921 0.201838898 0.399528134 0.554915502 0.604065512 0.53346247  0.365595104 0.170839767 0.042062655 0.005800244 0.003327563 0.00371733  0.009738636 0.050356042 0.13523019  0.220692933 0.253781775 0.212002473 0.121937801
0.169124299 0.423804661 0.681681444 0.835285937 0.872513269 0.810127664 0.619175791 0.342977126 0.114793875 0.020826769 0.008997988 0.00962584  0.00943097  0.017205879 0.059803286 0.143893602 0.225014755 0.252902045 0.211994667 0.125540339 0.04501628  0.009148389 0.004495928 0.004163555 0.006661964 0.048835929 0.186616289 0.383676092 0.545001152 0.605108418 0.544221317 0.37670716
0.294097103 0.629055541 0.893594948 0.988618721 0.976685668 0.972155199 0.822312358 0.51187419  0.198799352 0.037843722 0.009223186 0.010018614 0.010570771 0.009817808 0.013077596 0.026364956 0.043959741 0.049992095 0.037978171 0.018742963 0.007249969 0.00437049  0.003896394 0.003916297 0.018225634 0.128715806 0.377101189 0.661694419 0.848356881 0.903221361 0.848593119 0.659519323
0.364028753 0.725043955 0.963516567 0.9999      0.9999      0.9999      0.890867525 0.585373413 0.240701881 0.048712789 0.009715081 0.010337255 0.011821464 0.010977836 0.00884407  0.007384053 0.006941438 0.00630658  0.005438564 0.004515368 0.004670137 0.004842314 0.004975833 0.005249804 0.035841033 0.206825734 0.529812898 0.842482465 0.985394709 0.9999      0.986103824 0.843048755
0.341698481 0.690877008 0.936292264 0.979587411 0.986559237 0.987414747 0.84947266  0.539185146 0.214414917 0.041205841 0.008496801 0.009374307 0.011055057 0.010613996 0.008663892 0.006742032 0.005496349 0.004621427 0.00435038  0.004308883 0.004898404 0.00492433  0.005048379 0.005700701 0.043520492 0.234012464 0.579704002 0.889983604 0.982379619 0.993375828 0.982781739 0.89211904
0.238943568 0.531411789 0.790156262 0.918891468 0.941393619 0.874936334 0.679764686 0.388636278 0.1358585   0.022754611 0.007026365 0.008177227 0.008829201 0.008601284 0.009976017 0.015894554 0.023338217 0.024192646 0.016927589 0.008711167 0.005387796 0.005012774 0.005178965 0.005622369 0.033675965 0.194301997 0.507994163 0.822325851 0.975621338 0.9999      0.977153793 0.827093899
0.112917671 0.298927953 0.505044977 0.642557395 0.670211274 0.583949224 0.40398185  0.196169759 0.054057823 0.009466147 0.006148842 0.006808958 0.007174796 0.012870056 0.042540005 0.100975644 0.154931158 0.167143595 0.129137136 0.066511122 0.020342182 0.006284195 0.005217972 0.005392434 0.017571215 0.112878898 0.341161939 0.617612625 0.808785254 0.868113712 0.812688852 0.625567763
0.031596957 0.103478148 0.207591289 0.289162543 0.305371931 0.248806895 0.147621325 0.055623683 0.01277838  0.005999178 0.006314731 0.006303963 0.010407127 0.051789151 0.171390509 0.334244042 0.458275824 0.485704194 0.405401061 0.251352012 0.100110162 0.0213025   0.006278242 0.005891383 0.00872238  0.041567658 0.155426681 0.331548597 0.484359485 0.544393063 0.490187745 0.340368577
0.009812002 0.019350284 0.042311949 0.065272806 0.068471713 0.048752552 0.022908803 0.008573715 0.005643325 0.006265362 0.006482173 0.006727634 0.027518127 0.145281122 0.382692454 0.639072376 0.798863426 0.830046382 0.73635766  0.518132334 0.252706067 0.06932794  0.011587493 0.00680223  0.007289484 0.01172333  0.039397147 0.103830088 0.175189631 0.207447811 0.180088402 0.109516953
0.009142008 0.007468396 0.007092918 0.007194917 0.006352574 0.005314441 0.003463252 0.004980697 0.005780664 0.006724703 0.006673399 0.008850412 0.056529771 0.251919418 0.575369384 0.859645057 0.981858001 0.992720926 0.944934992 0.737904644 0.408497772 0.13349894  0.021532254 0.007498621 0.007829857 0.007292342 0.007970426 0.014446539 0.026377013 0.033924747 0.028655555 0.016063671
0.009493354 0.007487699 0.005673333 0.004660324 0.00410047  0.004871314 0.003964493 0.005073033 0.005668034 0.006521753 0.00601545  0.010009445 0.074928356 0.310027303 0.666725517 0.937368096 0.9999      0.994075034 0.997317166 0.833284025 0.490142335 0.170819653 0.027049691 0.007033414 0.007243675 0.006857442 0.005502501 0.004526947 0.004108371 0.004971427 0.004848677 0.004889328
0.007876022 0.006759912 0.00717937  0.013239625 0.02415985  0.030297081 0.024833195 0.014292012 0.007466304 0.005779199 0.005200008 0.008393379 0.066215712 0.288317689 0.63517724  0.910783797 0.9999      0.987502098 0.984117087 0.804978751 0.463714893 0.155928261 0.021877568 0.005602731 0.005886427 0.005694104 0.0048815   0.004930487 0.004682147 0.004231205 0.004275928 0.004735956
0.0056793   0.008717832 0.033348695 0.096245107 0.166988358 0.198265982 0.17100119  0.103037934 0.038559206 0.009199286 0.004414635 0.005169448 0.037380451 0.198670276 0.489754512 0.770027554 0.919724201 0.947441887 0.871499536 0.64989922  0.340568055 0.098821795 0.01130737  0.003546481 0.004720721 0.006154507 0.013063447 0.025169988 0.032513034 0.027053789 0.014876871 0.006805564
0.005399518 0.030665082 0.137397993 0.313426284 0.470733052 0.534556922 0.480739225 0.331841001 0.155967149 0.038968056 0.00604349  0.003938463 0.012501117 0.09051998  0.278185529 0.502917711 0.658355235 0.692251425 0.596928407 0.397805696 0.176612808 0.038222911 0.005033068 0.003540855 0.006838166 0.03257234  0.097642868 0.170883475 0.205429948 0.179651017 0.109581227 0.040729673
0.010464047 0.089392697 0.307689736 0.590817085 0.796078093 0.862947293 0.808781019 0.620181093 0.344097408 0.112806071 0.01465626  0.002951788 0.004174869 0.021620514 0.096433613 0.215857934 0.314494191 0.33739347  0.273552637 0.157177284 0.053251193 0.008725909 0.004293321 0.004695077 0.032790735 0.144589045 0.321823591 0.478307255 0.543087315 0.492276934 0.344165668 0.16477652
0.019903551 0.15586652  0.458005252 0.789344524 0.967306644 0.9999      0.97586068  0.825635027 0.512459492 0.19670971  0.032322867 0.004688928 0.004948534 0.004908328 0.015300786 0.04536029  0.078977855 0.088160206 0.065496559 0.030520343 0.009138938 0.004058564 0.003786815 0.013334218 0.10349762  0.328317459 0.606110839 0.803233578 0.868191128 0.816455176 0.631927813 0.356714499
0.025474633 0.182659314 0.513715197 0.847785132 0.975608287 0.9999      0.983450071 0.891000838 0.582872094 0.236365621 0.041208205 0.000293117 0.000691955 0.001940839 0.00495226  0.006267567 0.008984487 0.010145872 0.00841063  0.006030428 0.005042839 0.004840027 0.004990931 0.030782825 0.185129712 0.493278876 0.810826754 0.972668377 0.9999      0.978793074 0.831697921 0.521932075
0.01930045  0.151675481 0.449921653 0.780316009 0.962401217 0.9999      0.979257323 0.836538188 0.526192992 0.203425154 0.028384391 1.00E-05    1.00E-05    1.00E-05    0.00222998  0.004214155 0.00414953  0.004464453 0.004975862 0.005636715 0.005668266 0.005625953 0.006310905 0.042400725 0.224412221 0.562846833 0.878147251 0.980618598 0.994282176 0.982958967 0.89205072  0.585705686
0.009393489 0.082953937 0.294570816 0.574926233 0.784437523 0.859967111 0.816787759 0.636957337 0.35987384  0.115559502 0.010361086 0.031627737 0.028754766 1.00E-05    1.00E-05    0.0035418   0.005415645 0.005011286 0.005139752 0.005820283 0.006035461 0.00591033  0.006297403 0.035844481 0.196864775 0.509806148 0.825292285 0.979173578 0.9999      0.980606861 0.834718733 0.525124046
0.004053607 0.024501591 0.123408952 0.295250339 0.455955234 0.5293671   0.485136725 0.33970497  0.15744634  0.032398427 1.00E-05    1.00E-05    0.031507764 0.028527143 1.00E-05    0.001117528 0.005264872 0.004990459 0.005081482 0.005428315 0.005760736 0.005683794 0.005443788 0.018715894 0.119613748 0.35466468  0.634547526 0.82482734  0.882181273 0.826773867 0.640614453 0.362533937
0.002655957 0.006026136 0.023219304 0.080905349 0.151642055 0.186936612 0.164375467 0.097117732 0.031109035 0.004470864 0.038065762 1.00E-05    1.00E-05    0.035845328 0.006838627 0.026699524 0.039303163 0.031707646 0.017428789 0.007706403 0.005259594 0.004961271 0.004695013 0.007083378 0.043203893 0.167342754 0.352999366 0.50892877  0.567034911 0.508447251 0.353338273 0.166522149
0.005188791 0.003646668 0.000647874 0.007495457 0.014312906 0.023370868 0.019349891 0.015909783 0.013297987 0.004716524 0.042342679 0.039783293 0.003423272 0.03421355  0.106497288 0.187641421 0.220157719 0.190241303 0.117970241 0.045979037 0.010652597 0.00457506  0.004287649 0.004229215 0.008504538 0.040953111 0.113491551 0.18752673  0.217295922 0.184450903 0.105884292 0.031660304
0.004479522 0.004410448 0.007302065 0.004126552 1.00E-05    0.035801097 0.008699818 0.011939786 0.013714012 0.009248864 0.002560286 0.038098888 0.037908848 0.164841406 0.353482222 0.502417768 0.557273044 0.503049358 0.358246216 0.179673059 0.050754213 0.00738319  0.003720885 0.003715687 0.003478652 0.005359569 0.008438204 0.018563383 0.024121383 0.018956877 0.009237453 1.00E-05

Answer 1

I may have misunderstood the request... Were you asking for a smoothed contour plot where the pm3d colors correspond to discrete contour ranges?

set view map
set xrange [*:*] noextend
set yrange [*:*] noextend
set pm3d interpolate 9,9
set palette maxcolors 10
set palette rgbformulae 33,13,10

splot 'matrix.dat' matrix with pm3d notitle

It's hard to get smooth contour edges when the matrix resolution is only 32x32. It's maybe a bit better if you back off to only 5 contour levels: