4Misc_Start4Platform@ xHH%.7@gyHHdh xHH%.7@gyHHdh x HH%.7@gyHHdh ^Graph*WDashSettings#  ! hE6Normal@ Lucida Console<HHHH$$4 4 4 4 4 4 xhomeD<dD:Arbeit:kameras:Spielereien:D:Arbeit:kameras:Spielereienlt\kamera ?90(k D:\Arbeit\kameras\:G`D:\ArbeiSpielereienraH:G`D:\Arbeit\kameraHaRecentWindows-Analysis of Functions.ihfIgor Reference.ihf 4Misc_EndtXOPState_Start@XMLutils64DoIdlePeakFunctions2-643k4XOPState_End\5ImageLoad/T=tiff/N=Trial0/G "C:Users:jhollend:Desktop:Trial_0.tif" Image from: Trial_0.tif EllipticalAverage(Trial0, 143.5, 159.5, 0.9) FindSpectrum() Optimize stopped because successive iterations have taken a step that is smaller than the stopping criterion. Current best solution: ParameterWave={143.55,159.597,0.90171} Function gradient: W_OptGradient={2.83595,-8.20505,-694.288} Function value at solution: 79.8239 29 iterations, 245 function calls V_min = 79.8239, V_OptTermCode = 2, V_OptNumIters = 29, V_OptNumFunctionCalls = 245 !ѹX@!X hTrial0 @????@D$D DD%D#D&D@D@D)D"D@&D!D D!D D D#D@"D#D@D&DDD"D@(DD&DDD@D@'D"D@DDD#DDD!DD%D"DD"DDDDD@D@$D(DD@D!D D@$D@D@&DD!DD#D"DD@DD@&D%D"D DD!D@(DD D#D"D@#DD@D DD#D$DD!DD@DD@*D"DD#D#DD#D%DD!D$D!D D"D@DD@$D"D@(D@!D D%D D#D@$D"D@D"D#D@$D"D"D"D D@$D@D$D&D(D#D@ D"D@#D!D#D'D%D@)D*D@"D@(D@-D%D$D@%D*D(D@%D)D$D%D%D@(D#D(D!D+D'DD'DD@#D$D%D!D%D!D#D D"D@D'D"D DD)D'D@D$DDD DDD!DD"D D@D#D@'DD#D@DDDD&D D@'DD@#DDD@!D@D@$D D)DDD"D@DDDD@!D@ DDDD D@ D!D!D D@!DD'D@#DD$D@"DD'D@"D@D@D@$DD$D@*DD@!DD@D@$D@D@ D DD"DDD@D"D#DDD$D@D%D#DD@D@!DD$D&D!D@"D'D@D$D DD D#DD'D$D!DD@!DD"D#D@D@ D@D D@"DD!D@D(D D"D#D*D$D@#D$DD$D%D D@$D#DD D@"DD@#DD#D@!D$D!D DD#D@%D@D%DD$D$D@(DD D@$D!DD@D%D#D$D"D"D'D@D@!D#D"D@%DD@ D#DDD@!D@%D!D@$D%D!D'DD 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"Windows-1252" Silent 101 // use | as bitwise or -- not comment. DefaultFont "Arial" MoveWindow/C 10.5,671,955.5,800.75 MoveWindow/P 422.25,161,1349.25,616.25 KillStrings/Z root:gWMSetNextTextFilesTextEncoding #pragma TextEncoding = "Windows-1252" #pragma rtGlobals=3 // Use modern global access method and strict wave access. function EllipticalAverage(inMatrix, CenterX, CenterY, YStretch) wave inMatrix variable CenterX, CenterY, YStretch variable DebugView=0, ViewPeriod=20 variable Width = dimSize(inMatrix,0) variable Height = dimSize(inMatrix,1) // make sure Height and Width are even: Width-=mod(Width,2) Height-=mod(Height,2) variable MaxDim = max(Width, Height) // let's do some 4x supersampling while we're at it variable SuperHeight=floor(MaxDim*Pi/4*1.5) // Circumference / Supersampling * Safety margin SuperHeight+=mod(SuperHeight,2) make/O/N=(MaxDim*2, SuperHeight) SuperImg=NaN // SuperImg holds the original pixel values, but sorted by radius and (roughly) angle make/O/N=(MaxDim*2) NumPosVals=0, NumNegVals=0 // to count how many values per column have been collected in the top and bottom half make/O/N=(MaxDim*2) RadialIntensity=0 // to collect the supersampled average setscale/P x, 0, 0.25, "Pixels", SuperImg, NumPosVals, NumNegVals, RadialIntensity variable SourceImgMax=wavemax(inMatrix) variable StretchRadius variable SuperSamplingBin, StartR, TargetCol, TargetRow variable i,j, ThisPixel // using this readout scheme to implement a poor man's angle sort (+pi to 0 to -pi) // pixels with a low absolute angle are read out first, those with a large angle last //upper right quadrant for (i=Height/2-1; i>=0; i-=1) // from bottom to top for (j=Width-1; j>=Width/2; j-=1) // from right to left ThisPixel=inMatrix[j][i] // intensity value of the current pixel StretchRadius = sqrt((j-CenterX)^2+((i-CenterY)*YStretch)^2) // distance of the current pixel to the center if (StretchRadius=0; j-=1) // from right to left ThisPixel=inMatrix[j][i] StretchRadius = sqrt((j-CenterX)^2+((i-CenterY)*YStretch)^2) if (StretchRadius=Width/2; j-=1) // from right to left ThisPixel=inMatrix[j][i] StretchRadius = sqrt((j-CenterX)^2+((i-CenterY)*YStretch)^2) if (StretchRadius=Height/2; i-=1) // from bottom to top for (j=Width/2-1; j>=0; j-=1) // from right to left ThisPixel=inMatrix[j][i] StretchRadius = sqrt((j-CenterX)^2+((i-CenterY)*YStretch)^2) if (StretchRadiusnumpnts(RadialIntensity)/4) StretchRadius=numpnts(RadialIntensity)/4-1 // to fill corners endif ModelImg[j][i]= RadialIntensity[StretchRadius*4] endfor endfor // calculate the difference to the source image and use its standard deviation to optimize the parameters make/O/N=(Width, Height) DiffImg DiffImg=inMatrix-ModelImg wavestats/q DiffImg if (0) // set nonzero to watch how optimize works wave OptiProgress variable ProgressCounter if (waveexists(OptiProgress)) ProgressCounter=dimSize(OptiProgress,0) InsertPoints/M=0 ProgressCounter, 1, OptiProgress else make/N=(1,4) OptiProgress ProgressCounter=0 endif OptiProgress[ProgressCounter][0]=CenterX OptiProgress[ProgressCounter][1]=CenterY OptiProgress[ProgressCounter][2]=YStretch OptiProgress[ProgressCounter][3]=v_sdev DoUpdate endif return(v_sdev) end function FindSpectrum() wave Trial0 killwaves/z OptiProgress make/O/N=3 ParameterWave={144, 160, .9} optimize/X=ParameterWave/Y=100/R={144,160,1}/S=0.1 EllipticalAverage, Trial0 end