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Avoid slow initialization of DynamicModule

  • To: mathgroup at smc.vnet.net
  • Subject: [mg84436] Avoid slow initialization of DynamicModule
  • From: "Thomas Muench" <thomas.muench at gmail.com>
  • Date: Mon, 24 Dec 2007 04:46:19 -0500 (EST)

Dear MathGroup,

I have written an application (Mathematica 6.0.1 on Windows XP, code
see below) with which I want to analyze image data (3D stacks acquired
with a confocal microscope). The program works very nicely in
principle (with small sample data), but it does NOT work when the data
is of the size that I usually deal with. The dynamic display does not
even initialize. The computer works hard for about 40 minutes, and
then Mathematica quits without an error message.
My image stacks usually have dimension e.g. 63x4x512x512 (each image
has x-y-dimension 512x512, 4 color channels at each z-level, and on
the order of 60 levels).

My dynamic display consists of 3 graphics (2 of which are
LocatorPanes, and 1 a simple ListLinePlot), which don't take too much
time to be created when I evaluate the corresponding graphic commands
outside of anything "Dynamic" (it takes 1 sec, 0.2 sec and .01 sec,
respectively). So the problem should not be the creation of the
graphics from the image stacks. I think it has something to do with
the overhead that is connected with dynamic displays, whatever that
may be. In fact, once the Dynamic interface is created in the
notebook, all the manipulations I do with it are quite swift.

Here is some timing information that I obtained: To initialize the
display with sample data of size 63x4x50x50, it takes about 8 seconds.
4 times as large (63x4x100x100) takes about 30 seconds, i.e. about 4
times as long. If it would keep scaling linearly like that, I would
expect about 15 minutes for my full data, but, as mentioned, it
crashes after 40 minutes. I guess apart from the crash, linearity
brakes down because of memory issues.

My question is: Why is there such a large overhead? Is there a way to
avoid it? In my particular case, I do not need "usability" of the
dynamic interface preserved over sessions. I need to quickly load and
display the data, do some manipulations to extract some numbers, and
then move on to the next data set. So even if it worked in 15 minutes
it would not be very useful.

Since the problem scales with data size, I tried to use
LocalizeVariables->False, but this does not seem to be a valid option
for DynamicModule. Any other suggestions to get rid of (at least part
of) the overhead?

Thank you very much,
thomas

*******
CODE:

plotFrame[img_, i_, colorList_: {Blue, Green, White, Red}] :=
 Module[{plane = Transpose[img[[i]], {3, 1, 2}], plotPlane, colors,
   maxC = N@Max[img]},
  colors =
   Take[Apply[List, ToColor[#, RGBColor] & /@ colorList, 2],
    Dimensions[img][[2]]];
  plotPlane = Clip[Map[#.colors &, plane, {2}]/maxC];
  Raster[plotPlane]]

sliceStack[img_, regionToTake_: {{10, 10}, {30, 30}},
  colorList_: {Blue, Green, White, Red}] :=
 Module[{b = List @@ Blue, g = List @@ Green, r = List @@ Red,
   w = {1, 1, 1}, colors, subRegion, maxIntensityProjection,
   maxIntensityProjection2, plotProj, plotProj2, plotProj3,
   intensities, maxC},
  colors =
   Take[Apply[List, ToColor[#, RGBColor] & /@ colorList, 2],
    Dimensions[img][[2]]];
  subRegion = Take[img, All, All, Sequence @@ regionToTake];
  maxC = Max[subRegion];

  maxIntensityProjection =
   Developer`ToPackedArray[
    Table[Map[Max, subRegion[[All, color]], {2}], {color,
      Dimensions[img][[2]]}], Real];
  maxIntensityProjection2 =
   Developer`ToPackedArray[
    Table[Map[Max,
      Transpose[subRegion[[All, color]], {1, 3, 2}], {2}], {color,
      Dimensions[img][[2]]}], Real];

  {maxIntensityProjection, maxIntensityProjection2} =
   Transpose[#, {3, 1, 2}] & /@ {maxIntensityProjection,
     maxIntensityProjection2};

  plotProj = Map[#.colors &, maxIntensityProjection, {2}];
  plotProj2 = Map[#.colors &, maxIntensityProjection2, {2}];
  plotProj3 =
   Developer`ToPackedArray@
    Clip[MapThread[
       Join, {plotProj, 0 Take[#, 3] & /@ plotProj, plotProj2}]/
      maxC];

  Return[plotProj3]
  ]

stratification[img_] :=
 DynamicModule[{nStack = Length[img],
   nChannels = Dimensions[img][[2]], ch1 = Blue, ch2 = Green,
   ch3 = White, ch4 = Red, slice = Round[Length[img]/2],
   point = {0, 0}, zoom = 8, startPoint,
   rubberband = Rectangle[{10, 10}, {30, 30}],
   regionToTake = {{10, 30}, {10, 30}}, sliceWidth = 45,
   dims = Dimensions[img][[{4, 3}]],
   standardColors = (# ->
        Graphics[{FaceForm[#], EdgeForm[{Thin, Gray}], Rectangle[]},
         ImageSize -> 12]) & /@ {Red, Green, Blue, Orange, Pink,
      Black, White}},
  Framed[Grid[{
     {Row[{
        Row[{Style["Zoom: ", Bold],
          Button[Style["\[FilledDownTriangle]", Bold, Black],
           zoom = zoom/2],
          Button[Style["\[FilledUpTriangle]", Bold, Black],
           zoom = 2 zoom], "  ", Dynamic[zoom]}],
        "     ",
        Row[{Style["Slice: ", Bold],
          Slider[Dynamic[slice], {1, nStack, 1},
           ContinuousAction -> False, ImageSize -> Tiny], " ",
          Button[Style["\[FilledDownTriangle]", Bold, Black],
           slice = Clip[slice - 1, {1, nStack}]],
          Button[Style["\[FilledUpTriangle]", Bold, Black],
           slice = Clip[slice + 1, {1, nStack}]], " ",
          Row[{Dynamic[slice], "/", nStack}]}]
        }],
      SpanFromLeft},
     {Column[{
        Style["\nConfocal Slice:", Bold, Yellow],
        Framed[Column[{
           LocatorPane[
            Dynamic[point,
             {(startPoint = #) &,
              (rubberband = Rectangle[startPoint, #]) &, (rubberband =
                  Rectangle[startPoint, #];
                regionToTake =
                 Reverse[
                  Sort /@
                   Transpose[
                    Clip[List @@ rubberband, {1, Infinity}]]];
                sliceWidth =
                 Total@Flatten[Differences /@ regionToTake] + 5) &}],
            Graphics[{Dynamic[
               plotFrame[img, slice,
                Take[{ch1, ch2, ch3, ch4}, nChannels]]], FaceForm[],
              EdgeForm[Black], Dynamic@rubberband,
              EdgeForm[{Thin, White, Dashed}], Dynamic@rubberband},
             ImageSize -> Dynamic[Round[zoom dims]],
             Background -> Black, ImagePadding -> 0,
             ImageMargins -> 0], {{0, 0}, dims, {1, 1}},
            Appearance -> None],
           Style["Mark an ROI with the mouse", Italic, Cyan]
           }],
         Background -> Black]}],
      Column[{
        Style["\nCross Section of ROI (MIP):", Bold, Yellow],
        Framed[
         Column[{LocatorPane[Dynamic[point, (slice = #[[2]]) &],
            Graphics[{Dynamic[
               Raster[sliceStack[img, regionToTake,
                 Take[{ch1, ch2, ch3, ch4}, nChannels]]]], Black,
              Dynamic[Line[{{0, slice}, {sliceWidth, slice}}]],
              Dashed, White,
              Dynamic[Line[{{0, slice}, {sliceWidth, slice}}]]},
             ImageSize -> 2 Dynamic@{sliceWidth, nStack},
             Background -> Black, ImagePadding -> 0,
             ImageMargins -> 0], {{1, 1}, {sliceWidth, nStack}, {1,
              1}}, Appearance -> None],
           Style["Click to choose slice", Italic, Cyan]
           }], Background -> Black],
        Style["\nIntensity Profile:", Bold, Yellow],
        Dynamic[
         ListLinePlot[
          Rescale /@
           Transpose[
            Total[Take[img, All, All, Sequence @@ regionToTake], {3,
              4}]], Axes -> False,
          Frame -> {{True, False}, {True, False}},
          FrameStyle -> White,
          FrameLabel -> {"Depth (slice number)",
            "Normalized Intensity", None, None},
          LabelStyle -> Directive[FontFamily -> "Helvetica", 12],
          BaseStyle -> Thick,
          PlotStyle -> Take[{ch1, ch2, ch3, ch4}, nChannels],
          Background -> Black, ImageSize -> {400, 250},
          GridLines -> {{slice}, None}]]}]},
     {Framed[
       Column[{Style["Colors of the Channels:", Bold],
         Row[{Style["Ch1: ", If[1 <= nChannels, White, Gray]],
           SetterBar[Dynamic[ch1], standardColors,
            Background -> Black, Enabled -> (1 <= nChannels)]}],
         Row[{Style["Ch2: ", If[2 <= nChannels, White, Gray]],
           SetterBar[Dynamic[ch2], standardColors,
            Background -> Black, Enabled -> (2 <= nChannels)]}],
         Row[{Style["Ch3: ", If[3 <= nChannels, White, Gray]],
           SetterBar[Dynamic[ch3], standardColors,
            Background -> Black, Enabled -> (3 <= nChannels)]}],
         Row[{Style["Ch4: ", If[4 <= nChannels, White, Gray]],
           SetterBar[Dynamic[ch4], standardColors,
            Background -> Black, Enabled -> (4 <= nChannels)]}]
         }]],
      SpanFromLeft}},
    Alignment -> {Left, Top}, BaseStyle -> White],
   Background -> Black]
  ]

*******
You can call the program with

stratification[img]


*******
Small sample image data (dimension 20x2x30x30, sorry for the large size):

img = Uncompress[
   "1:eJx03Q9onvt1J3gRLsUUE0QwwRQTtMUEE0wQxQQTvNl3XPfWk/GmanKTUVI3\n\
o6hOqmY8N9qMm/Hceu+8q3qymtSb0bS3GW3Gm9FovVltx5sVxQQRTBHFBFFM\n\
EeUSTLgMopggigkiXIopJuww7/dz4Dm3MZiHV+/zPs/vzznnd37n9/2e898t\n\
funjn39pamrqxH/9/67/+v99+f/f/o0/Ofpv14Uv5frbk+vMFyfX0cLkOvVr\n\
ueb7Kd9/PJ/z+/E/yXVpct1dzvMW8/l3hu+bWp1c5/55Pr8yuR7cyu++kPf8\n\
T3nup/KcT+Q5n8v9/yzf5/PUp/O7fzq5zqYdC94zn+ek/9M38vtr+ftn8vmT\n\
w/tdN3LfOL/b/1eT61raOfUbeX/as5D2HWTcFl7N9XruTz/H6f8o47iR+w/y\n\
vrl/kb/neWv5vPe/5Dn5fOC5v5Xn5nkzmc/RXK6fzX1Xcv385LqrPf8o14vD\n\
v0+Ri7TLuC74fcZv13ymPcu5zzzO5PdL47Tny/n+E8P7Fr4yfO/a65PrfsZ/\n\
+ffy+9/Mc7UzcjuOnI4yL1MfzefF3J9xmvqHubov7T34/XzOuE9lXHb/cT5H\n\
vsa/nufluQfkN3I/ynt2jdtSa1fGayrPoX/jzFPJZ/o5Ms55z27ks/Qr815y\n\
kPHciFzukoOrk+vc7w77Q8+mfrn19/LkOpvxnzGvmf9x2jHS/88Nn1/zk/4Y\n\
73HkcCP93o0e77Izmbdx2kMPp6JP48j/dNozynyRs6mMG/tQ9o7cLU6u5HTh\n\
y8P2aL/5K/3I+C7k7/SXPGznefuxDwfNrvo9+df+5ytpX+7fSPvYmQ129vrw\n\
96OMx0zuW4h9YE82cj+7SQ+m/sdc6QF5iFyyIyP6+1vD/owjFyN2M/NFfjyX\n\
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0YOR+/Oe3dcm1wPjTW8y72PzzI6lX+zl+FeG7yFXc+Y3do4cjuh3+sU+bcQ+\n\
LrOH1oHMz2zu281zl41DvidfC7nup1+75CPrMXtjHozrKHJl3Eb6E7vHLrE3\n\
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