I am trying to generate a heatmap(smooth) using the command "set dgrid3d NX, NY cauchy dx,dy " with my actual data points that are lying on or blending into this heatmap using Gnuplot. The data that I want to plot in a heatmap is given below:
7.00 0.30 0.37927674E-05
7.40 0.70 0.15792115E-04
7.50 0.80 0.24103077E-04
7.90 1.20 0.15608388E-03
7.90 0.10 0.69352006E+01
8.00 1.30 0.25409103E-03
8.00 0.20 0.73455689E+01
8.00 0.10 0.42827124E+02
8.10 0.30 0.76748807E+01
8.20 1.50 0.67312964E-03
8.20 0.40 0.79137934E+01
8.20 0.30 0.45520115E+02
8.40 1.70 0.17587834E-02
8.40 0.50 0.46099211E+02
8.50 0.60 0.45678694E+02
8.50 0.10 0.41237359E+02
8.60 1.90 0.44844517E-02
8.60 0.20 0.47934414E+02
8.80 2.10 0.11075105E-01
8.80 1.00 0.75474471E+01
8.80 0.90 0.42642491E+02
9.00 0.60 0.79618341E+02
9.00 0.30 0.79419113E+01
9.10 2.40 0.39978658E-01
9.10 1.30 0.68257903E+01
9.10 1.20 0.39538089E+02
9.10 0.70 0.88526994E+02
9.10 0.40 0.92384913E+01
9.30 2.60 0.89027979E-01
9.30 1.40 0.39023052E+02
9.30 0.60 0.12261523E+02
9.50 2.80 0.18887125E+00
9.50 1.70 0.64384108E+01
9.50 1.60 0.40444708E+02
9.50 1.10 0.12644027E+03
9.50 0.80 0.15816436E+02
9.50 0.20 0.32175767E-02
9.60 1.80 0.65175956E+01
9.60 1.70 0.41921130E+02
9.60 1.20 0.13614744E+03
9.60 0.90 0.17751092E+02
9.60 0.30 0.50078273E-02
9.80 3.10 0.52966814E+00
9.80 2.00 0.68808176E+01
9.80 1.90 0.46203290E+02
9.80 1.40 0.15520871E+03
9.80 1.10 0.21777734E+02
9.80 0.50 0.11584465E-01
9.80 0.30 0.76065456E+00
9.90 3.20 0.72710251E+00
9.90 1.20 0.23782402E+02
9.90 0.60 0.17217548E-01
9.90 0.40 0.84168966E+00
10.00 3.30 0.98446456E+00
10.00 2.20 0.74411114E+01
10.00 2.10 0.51662822E+02
10.00 1.60 0.17298377E+03
10.00 1.30 0.25712114E+02
10.00 0.70 0.25198962E-01
10.00 0.50 0.92156261E+00
10.00 0.10 0.11582823E+03
10.20 2.30 0.57326412E+02
10.20 1.80 0.18833726E+03
10.20 1.50 0.29118317E+02
10.20 0.90 0.51539998E-01
10.30 3.60 0.22463999E+01
10.30 2.50 0.83507520E+01
10.30 2.40 0.59899307E+02
10.30 1.90 0.19474547E+03
10.30 1.60 0.30482513E+02
10.30 1.00 0.72026559E-01
10.30 0.80 0.11359693E+01
10.30 0.40 0.14891248E+03
10.40 3.70 0.28747059E+01
10.40 2.60 0.85969760E+01
10.40 2.50 0.62131472E+02
10.40 2.00 0.20014222E+03
10.40 1.70 0.31554021E+02
10.40 1.10 0.99118056E-01
10.40 0.90 0.11932870E+01
10.40 0.50 0.15811963E+03
10.50 3.80 0.36265029E+01
10.50 2.70 0.87869988E+01
10.50 2.60 0.63916599E+02
10.50 2.10 0.20443737E+03
10.50 1.80 0.32293887E+02
10.50 1.20 0.13431552E+00
10.50 1.00 0.12411641E+01
10.50 0.60 0.16603330E+03
10.60 3.90 0.45097533E+01
10.60 2.80 0.89085883E+01
10.60 1.30 0.17923196E+00
10.60 1.10 0.12786691E+01
10.60 0.70 0.17250274E+03
10.70 4.00 0.55281116E+01
10.70 2.90 0.89534488E+01
10.70 2.80 0.65840589E+02
10.70 2.30 0.20955650E+03
10.70 2.00 0.32686330E+02
10.70 1.40 0.23551814E+00
10.70 1.20 0.13052811E+01
10.70 0.80 0.17744390E+03
10.80 4.10 0.66796851E+01
10.80 3.00 0.89175608E+01
10.80 2.90 0.65897572E+02
10.80 2.40 0.21040722E+03
10.80 2.10 0.32329276E+02
10.80 1.50 0.30476008E+00
10.80 1.30 0.13209148E+01
10.80 0.90 0.18084261E+03
11.00 4.30 0.93410537E+01
11.00 3.20 0.86086636E+01
11.00 3.10 0.64216925E+02
11.00 2.60 0.20907628E+03
11.00 2.30 0.30596084E+02
11.00 1.70 0.48733667E+00
11.00 1.50 0.13210026E+01
11.00 1.10 0.18328478E+03
11.10 4.40 0.10811365E+02
11.10 3.30 0.83476811E+01
11.10 3.20 0.62565030E+02
11.10 2.70 0.20714862E+03
11.10 2.40 0.29294200E+02
11.10 1.80 0.60226307E+00
11.10 1.60 0.13072367E+01
11.10 1.20 0.18260001E+03
11.20 4.50 0.12335835E+02
11.20 3.40 0.80286691E+01
11.20 3.30 0.60463228E+02
11.20 2.80 0.20457874E+03
11.20 2.50 0.27767593E+02
11.20 1.90 0.73300831E+00
11.20 1.70 0.12858951E+01
11.20 1.30 0.18088781E+03
11.30 4.60 0.13876782E+02
11.30 3.50 0.76638084E+01
11.30 3.40 0.57996406E+02
11.30 2.90 0.20151842E+03
11.30 2.60 0.26072360E+02
11.30 2.00 0.87864775E+00
11.30 1.80 0.12583879E+01
11.30 1.40 0.17835169E+03
11.40 4.70 0.15391386E+02
11.40 3.60 0.72660912E+01
11.40 3.50 0.55254887E+02
11.40 3.00 0.19810551E+03
11.40 2.70 0.24265938E+02
11.40 2.10 0.10373524E+01
11.40 1.90 0.12261498E+01
11.40 1.50 0.17519146E+03
11.40 0.10 0.55980941E+02
11.50 4.80 0.16833737E+02
11.50 3.70 0.68484039E+01
11.50 3.60 0.52328221E+02
11.50 3.10 0.19445287E+03
11.50 2.80 0.22403750E+02
11.50 2.20 0.12063460E+01
11.50 2.00 0.11905425E+01
11.50 1.60 0.17158813E+03
11.50 0.20 0.62066384E+02
11.60 4.90 0.18157343E+02
11.60 3.80 0.64227257E+01
11.60 3.70 0.49299832E+02
11.60 3.20 0.19064080E+03
11.60 2.90 0.20536353E+02
11.60 2.30 0.13819347E+01
11.60 2.10 0.11527727E+01
11.60 1.70 0.16769226E+03
11.60 0.30 0.68009662E+02
11.80 5.10 0.20276050E+02
11.80 4.00 0.55872119E+01
11.80 3.90 0.43217667E+02
11.80 3.40 0.18267940E+03
11.80 3.10 0.16951660E+02
11.80 2.50 0.17343099E+01
11.80 2.30 0.10744622E+01
11.80 1.90 0.15943360E+03
11.80 0.50 0.78872025E+02
11.90 3.50 0.17851696E+03
11.90 3.20 0.15295699E+02
11.90 2.60 0.19005785E+01
11.90 2.40 0.10351484E+01
12.00 5.30 0.21468003E+02
12.00 4.20 0.48186241E+01
12.00 0.70 0.87427232E+02
12.00 0.20 0.59627058E-03 ..............and so on.
Below is the Gnuplot script that I used to generate the plot.
reset
set terminal postscript eps enhanced "Helvetica" 20 color
set output "map_data.eps"
set size 1,1
show label
set size ratio 1
set xrange [7:15]
set yrange [0:7]
set mytics 5
set mxtics 5
set iso 100
set samp 100
unset key
unset sur
set xtics scale 1
set xtics out
set ytics out
set ytics scale 1
set pm3d map
set palette color
set palette rgb 33,13,10 #rainbow (blue-green-yellow-red)
set xlabel "xlabel" font "Times-Roman,20" rotate parallel
set ylabel "ylabel" font "Times-Roman,20" rotate parallel
set tics nomirror out scale 1
set logscale cb
set cbrange [1:2.5*1e+2]
set view map
set pm3d at bs
set dgrid3d 500,500 cauchy 0.001,0.001
splot "con_endo_kevsph01.dat" using 1:2:3 with points palette pointsize 0.001 pointtype 5
which is generating a plot of this kind:
where it is showing the smoothened
data having magnitudes that are equal to some of my actual data points
and it worries me a lot. Is there a way to control this background
smoothened data to have fewer magnitudes(can lie in the blue region of
the color map). I have also tried other smoothing kernels like gauss
and exp but they do not have the elegance the cauchy has. Any help
would be much appreciated. Thank you.

