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Color Maps, False Color Images

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colormap.gle

colormap.gle

colormap.gle
! Example of a color map with a scale.
! Author: Francois Tonneau

! These are the number of steps we will require for a color gradient. Higher
! numbers result in a smoother gradient at the expense of processing time.
! Decrease x_steps and y_steps if the figure takes too long to appear.

x_steps = 250
y_steps = 250

size 13 10

set font ss

amove 2 2
begin graph
    size 6 6
    fullsize
    title "Landscape" hei 0.4 dist 0.5
    xaxis min -2 max 2
    yaxis min -2 max 2
    ticks off
    labels dist 0.25
    xtitle "X" hei 0.4 dist 0.5
    ytitle "Y" hei 0.4 dist 0.5

    ! When called from within a graph block, the 'colormap' command assumes a
    ! different, simpler syntax. The first argument is a subroutine that assigns
    ! a numeric value in the 0-1 range to (x, y) graph coordinates. The second
    ! and third arguments are the number of steps for x and y, respectively.
    ! The last argument (the one after the 'palette' keyword) is a custom
    ! color palette. *The first and last arguments should be non-quoted.*

    colormap z(x,y) x_steps y_steps palette glow
end graph

! Here is the subroutine we use to assign numeric values to (x, y) graph
! coordinates:

sub z x y
    local  sigma = 0.75
    local  value = exp(-(x^2 + y^2)/(2 * sigma^2))
    return value
end sub

! Our palette subroutine returns a nonlinear mixture (in standard RGB space) of
! three colors as a function of numeric input:

sub glow z
    local r_cool =   0; local g_cool =  78; local b_cool =  88
    local r_luke = 205; local g_luke = 205; local b_luke = 205
    local r_warm = 205; local g_warm =  92; local b_warm =  92
    if z < 0.50 then
        local w = sqrt(z/0.50)
        local r = w * r_luke + (1 - w) * r_cool
        local g = w * g_luke + (1 - w) * g_cool
        local b = w * b_luke + (1 - w) * b_cool
    end if
    if z >= 0.50 then
        local w = sqrt((z - 0.50)/0.50)
        local r = w * r_warm + (1 - w) * r_luke
        local g = w * g_warm + (1 - w) * g_luke
        local b = w * b_warm + (1 - w) * b_luke
    end if
    return rgb255(r, g, b)
end sub

set hei 0.28 just bl

! We add a custom color scale:

height = 2.0
width  = 0.6

for z = 0 to 0.9 step 0.1
    amove 9.5 height
    box width width fill glow(z)
    rmove 0.8 -0.1
    write format$(z, "fix 2")
    height = height + width
next z
rmove 0 width
write "1.00"

set hei 0.4 just cc
amove 11.5 5
write "Z"

! This script ends our tutorial. Although we have covered a lot of ground, feel
! free to consult the User Manual for the full details on these topics, as well
! as information on other GLE options and commands.

colormapcontour.gle

colormapcontour.gle

colormapcontour.gle
! Example of how to use color map and contour at the same time.
! Plot of modelling results coming from Abaqus.
! By Fabien Leonard.

size 12 12

set font texcmr

include "color.gle"
include "contour.gle"

! creates the z-value file to be used by the contour command
begin fitz
   data "Zstress.csv"
   x from 0 to 2 step 0.1
   y from 0 to 2 step 0.1
   ncontour 6
end fitz

begin contour    
   data "Zstress.z"
   values from 100 to 800 step 100
end contour

begin graph
   title "Modelling results of specimen stress (in MPa)"
   xtitle "Bolt shortening (mm)"
   ytitle "Step"
   xticks color white
   yticks color white
   colormap "Zstress.z" 500 500 color
   data "Zstress-cdata.dat"
   d1 line color white lwidth 0.02
end graph

amove xg(xgmax)+0.5 yg(ygmin)
color_range_vertical zmin 0 zmax 815 zstep 50 pixels 1500 format "fix 0"
contour_labels file "Zstress-clabels.dat" format "fix 0"

informationgain.gle

informationgain.gle

informationgain.gle
size 10 8

include "color.gle"

set font texcmr

tpos = 50; tneg = 50
tot = tpos + tneg

sub entropy p
   if (p = 0) or (p = 1) then return 0
   else return -p*log(p)/log(2) - (1-p)*log(1-p)/log(2)
end sub

sub information_gain lpos lneg
   local rpos = tpos - lpos
   local rneg = tneg - lneg
   local ltot = lpos + lneg
   local rtot = rpos + rneg
   return entropy(tpos/tot) - &
      ltot/tot*entropy(sdiv(lpos,ltot)) - rtot/tot*entropy(sdiv(rpos,rtot))
end sub

begin graph
   xaxis min 0 max tpos
   yaxis min 0 max tneg
   title "Information Gain"
   xtitle "# positives in left branch"
   ytitle "# negatives in left branch"
   colormap information_gain(x,y) 250 250 color
end graph

set hei 0.29
amove xg(xgmax)+0.3 yg(ygmin)
color_range_vertical zmin 0 zmax 1 zstep 0.1 pixels 500 format "fix 1"

maungazoom.gle

maungazoom.gle

maungazoom.gle
size 16 8

include "color.gle"

! draw left graph
amove 0 0
begin graph
   size 8 8
   title "Auckland's Maunga Whau Volcano"
   colormap "volcano.z" 100 100 palette palette_blue_white_red
end graph

! define zoom rectangle on left graph
zx0 = 1; zy0 = 4
zx1 = 8; zy1 = 12

! draw zoom rectangle in yellow
gsave
set color yellow lwidth 0.1
amove xg(zx0) yg(zy0)
box xg(zx1)-xg(zx0) yg(zy1)-yg(zy0)
grestore

! draw right graph
amove 7 0
begin graph
   size 8 8
   title "Zoom on ("+num$(zx0)+","+num$(zy0)+") x ("+num$(zx1)+","+num$(zy1)+")"
   xaxis min zx0 max zx1
   yaxis min zy0 max zy1
   colormap "volcano.z" 100 100 palette palette_blue_white_red
end graph

! draw vertical color range
amove 14.5 yg(ygmin)
color_range_vertical zmin 0 zmax 180 zstep 20 palette palette_blue_white_red

polenja.gle

polenja.gle

polenja.gle
size 18 19

include "color.gle"

set lwidth .02 hei .7 font texcmr
imax = 0; imaxc = 0

dpsi = 2.5; dphi = 2.5
! dpsi = stepwidth in psi direction, i.e. angle of latitude or elevation;
! dphi = stepwidth in phi direction, i.e. angle of longitude or azimuth.

file$ = "serguei2.nja"

! open result file with three rows: psi   phi   intensity
! first open to find overall maximum intensity = imax
! and maximum intensity at center = imaxc (i.e. for psi=0)

fopen file$ inchan read
until feof(inchan)
   fread inchan psi phi i
   if i>imax then
      imax = i
   end if
   if psi=0 then
      if i>imaxc then
         imaxc = i
      end if
   end if
next
fclose inchan

! now open result file for actual plotting
! colors are defined with rgb color scheme:
!     rgb(0,0,1) (i.e. blue) corresponds to i=0
!     rgb(1,0,0) (i.e. red) corresponds to i=max
fopen file$ inchan read
until feof(inchan)
   fread inchan psi phi i
   amove 8.2 8.2
   if psi=0 then
      circle dphi fill cvtrgb(imaxc/imax,0,1-imaxc/imax)
   else
      begin path fill cvtrgb(i/imax,0,1-i/imax)
         arc 8*sin(torad(psi+dpsi/2))/(1+cos(torad(psi+dpsi/2))) phi-dphi/2 phi+dphi/2
         narc 8*sin(torad(psi-dpsi/2))/(1+cos(torad(psi-dpsi/2))) phi+dphi/2 phi-dphi/2
      end path
   end if
next
fclose inchan

! labeling
circle 8
for c = 0 to 3
   begin rotate c*90
      rmove 8 0
      rline 0.2 0
   end rotate
next c

rmove 8.2 0
set just lc
write "\varphi =0\movexy{-.15}{0}\char{23}"
rmove -8.2 8.2
set just bc
write "\varphi =90\movexy{-.15}{0}\char{23}"

amove 8.2-5 17.5
begin name range
   colormap "x" 0 1 0 1 100 1 10 1 palette palette_blue_purple_red
end name

amove pointx(range.lc)-0.1 pointy(range.lc)
set just rc
write "I = 0"

amove pointx(range.rc)+0.1 pointy(range.rc)
set just lc
write "I = max."

volcano.gle

volcano.gle

volcano.gle
size 9 9

begin contour
   data "volcano.z"
   values from 130 to 190 step 10
end contour

begin graph
   title "Auckland's Maunga Whau Volcano"
   data "volcano-cdata.dat"
   d1 line color black
   colormap "volcano.z" 100 100
end graph