From 65ff984d962f8636622b3a23081d09b1df0f753f Mon Sep 17 00:00:00 2001 From: Sam Moore Date: Wed, 10 Oct 2012 19:03:30 +0800 Subject: [PATCH] Thesis - Fourier transforming python scripts Used for analysing SEM images Not finished? Need to write clever sounding stuff about this in the thesis. Can't work out how to phrase it. --- thesis/fourier/Au_BLACK_82pix_1um.png | Bin 0 -> 187565 bytes thesis/fourier/Au_BLACK_82pix_200nm.png | Bin 0 -> 181991 bytes .../fourier/Au_BLACK_82pix_200nm_fft_abs.png | Bin 0 -> 199417 bytes .../Au_BLACK_82pix_200nm_fft_phase.png | Bin 0 -> 260150 bytes thesis/fourier/Au_BRIGHT_28pix_100nm.png | Bin 0 -> 168073 bytes thesis/fourier/Au_BRIGHT_42pix_100nm.png | Bin 0 -> 207573 bytes .../fourier/Au_BRIGHT_42pix_100nm_fft_abs.png | Bin 0 -> 193731 bytes .../Au_BRIGHT_42pix_100nm_fft_phase.png | Bin 0 -> 260231 bytes thesis/fourier/fourier.py | 119 ++++++++ thesis/fourier/main.py | 262 ++++++++++++++++++ 10 files changed, 381 insertions(+) create mode 100644 thesis/fourier/Au_BLACK_82pix_1um.png create mode 100644 thesis/fourier/Au_BLACK_82pix_200nm.png create mode 100644 thesis/fourier/Au_BLACK_82pix_200nm_fft_abs.png create mode 100644 thesis/fourier/Au_BLACK_82pix_200nm_fft_phase.png create mode 100644 thesis/fourier/Au_BRIGHT_28pix_100nm.png create mode 100644 thesis/fourier/Au_BRIGHT_42pix_100nm.png create mode 100644 thesis/fourier/Au_BRIGHT_42pix_100nm_fft_abs.png create mode 100644 thesis/fourier/Au_BRIGHT_42pix_100nm_fft_phase.png create mode 100644 thesis/fourier/fourier.py create mode 100755 thesis/fourier/main.py diff --git a/thesis/fourier/Au_BLACK_82pix_1um.png b/thesis/fourier/Au_BLACK_82pix_1um.png new file mode 100644 index 0000000000000000000000000000000000000000..dd167e2b7d917e1fe97e3482e90591c6aa1e02f5 GIT binary patch literal 187565 zcmV((K;XZLP)R6?8>dbW?9;ba!ELWdK-EVQFr3ATlmFE-_XOrW*hO002ou zK~#90JpI?MHO+RWiG`0ypE=E%bGgs{ej9R=EZdL@=!PIj2f9byf=&cMLIc&!vMiF@ z|L(KPuj$ffh7TR=s*YP2fxsK%9nU-9|7{!}YY#%8aZXL6HvjX#dl`l2PcBW3U#yRx z4!^Adj~8pMvfq4zKmE}7XcZiw^1nQM^;N#>(Ze5Z#3rjMee6$1iK8mzfy6i}&HKCe zGX3tGU;OQhRQ~h7|C5Vwv?%4{XzPc)27sQwUXq>9$Neyohyon?-eE@4EM0#|TNG5Z z&cHm6r+Q*tFPj=&t(HldokC&0;N*)8kd#L}wUHPvrD&sPO6+m#g9T578#J_!w_fyfyT(_yZ{gX+vVF!lD5s!GkrKpxAE2nc?d9G 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zbts=$4v{=7xBD13-xIJ(tOk(mOVn7d^>RIg8{d}uldf^_j~1siZd3emwCw4*NAm21 zOOvI)lUrl`|Hb}V#-V`BL@NgbiFApR5*%%_R` zw~QSWa@_mhfaDmu#Mez;fuk=1thK$J*hO3o9sMY8qtP>SYblZ`r*aLjS~=yugX=6b zf$>@H^QETE|6PKv=P92+a-}E4MDw6*g1o)BfAWf>`Wmgy&f13H8@1ql4vD;Wdw^J( zo25e-__r)IJ?75SA5~S-e|zG2`F!~vA5#`yZ!S8Vl-&qMECgsTM6mj!q)AiL!^R$H zd=mE|XfCDoeR8s_{y1Bqv*#(Dz~425|GB^ayTxJEn96KA6U^VNjz?vSCw4G|>m>ij z%ee`KWD)eNoa+3n8s%UUTxq_Q`EQ5JgGZRct&$L@mC7a0lvlbPVp8zh1 zrSWhBm6?#f5<5SI?S|0Ei>?Mpt7(KPs?70*%JoVi{)~M$g3$dAA|oU-cw=a3Q1W%I zIov&BMNh+&RCVB1frr-s@)a!pdjaU}}m(N-8NKTmc7r zVseIS&8)srozZ4AENU`wd_sz6++~NbXB?)MrUN6`Fhyo+;O5BK43IuG=vTS+S|QVK zo(-2^=al$eDi(X-{>IN4TCqEhYImxxMW`)vBWmD~#;18VtRrz#8yABkj%QNXFvRf3 z(!Qy|9|(e$ll?LrdMArE*2L58(CgjS*l9H= 5): + units = str(scale[4]) + else: + units = "pixels" + scale = map(float, [scale[1], scale[3]]) + + f.close() + + out = open(".tmp", "w") + if title == "": title = filename + + if scale == None: + xsize = size[0] + ysize = size[1] + else: + xsize = float(size[0]) * float(scale[1]) / float(scale[0]) + ysize = float(size[1]) * float(scale[1]) / float(scale[0]) + + + if (output != ""): + out.write("set term png size 800,800\n") + out.write("set output \""+str(output)+"\"\n") + + + out.write("set title \""+str(title)+"\"\n") + + out.write("set xlabel \"Kx (1/"+str(units)+")\"\n") + out.write("set ylabel \"Ky (1/"+str(units)+")\"\n") + out.write("set size square\n") + out.write("set key off\n") + + + xtics = "" + ytics = "" + for tic in [-1.0, -0.75, -0.25, -0.5, 0, 0.25, 0.5, 0.75, 1.0]: + xtics = xtics + "\""+ ("%0.2f" % float(xsize * tic))+"\" "+ ("%0.2f" % float(size[0] * tic))+"," + ytics = ytics + "\""+ ("%0.2f" % float(ysize * tic))+"\" "+ ("%0.2f" % float(size[1] * tic))+"," + + + + xtics = "(" + xtics[0:len(xtics)-1] + ")" + ytics = "(" + ytics[0:len(ytics)-1] + ")" + + out.write("set xtics "+str(xtics)+"\n") + out.write("set ytics "+str(ytics)+"\n") + + u = "($1 - "+str(size[0]/2)+"):($2 - "+str(size[1]/2)+")" + u = u + ":(log($3))" if not phase else u + ":4" + + out.write("set xrange [-"+str(size[0]/2)+":"+str(size[0]/2)+"]\n") + out.write("set yrange [-"+str(size[1]/2)+":"+str(size[1]/2)+"]\n") + + out.write("plot \""+str(filename)+"\" u " + str(u) + " w image") + + out.close() + + result = os.system("gnuplot --persist .tmp") + + os.remove(".tmp") + return result + +def pngsave(im, file): + # these can be automatically added to Image.info dict + # they are not user-added metadata + reserved = ('interlace', 'gamma', 'dpi', 'transparency', 'aspect') + + # undocumented class + from PIL import PngImagePlugin + meta = PngImagePlugin.PngInfo() + + # copy metadata into new object + for k,v in im.info.iteritems(): + if k in reserved: continue + meta.add_text(k, v, 0) + + # and save + im.save(file, "PNG", pnginfo=meta) + +def writeData(data, filename, scale = None): + out = open(filename, "w", 0) + out.write("# FFT Datafile\n") + out.write("# Size: "+str(len(data)) + " x " + str(len(data[0])) + "\n") + out.write("# Scale: ") + if scale != None: + out.write(str(scale[0]) + " = " + str(scale[1]) + "\n") + else: + out.write("None\n") + + for x in range(0,len(data)): + for y in range(0, len(data[x])): + out.write(str(x) + "\t" + str(y) + "\t") + out.write(str(abs(data[x][y])**2.0) + "\t") + out.write(str(math.atan2(data[x][y].imag, data[x][y].real) / math.pi * 180.0) + "\n") + out.write("\n") + out.close() + +def readData(filename): + f = open(filename, "r") + f.readline() + size = f.readline().strip("\r\n# \t").split(" ") + size = map(int, [size[1], size[3]]) + scale = f.readline().strip("\r\n# \t").split(" ") + + data = [ [0] * size[1] for _ in range(size[0]) ] + + for x in range(size[0]): + for y in range(size[1]): + s = f.readline().split("\t") + while (len(s) != 4): + s = f.readline().strip("\r\n\t ").split("\t") + if int(s[0]) != x or int(s[1]) != y: + sys.stderr.write("readData; bad\n") + f.close() + return data + mag = float(s[2]) + phase = float(s[3]) * math.pi / 180.0 + data[x][y] = mag * (math.cos(phase) + math.sin(phase) * 1.0j) + + f.close() + return data + + +def getSlice(data, angle): + x = 0 + y = 0 + result = [] + + good = True + k = 0 + while good: + good = False + x1 = len(data)/2.0 - x + y1 = len(data)/2.0 - y + x2 = len(data)/2.0 + x + y2 = len(data)/2.0 + y + + if (int(x1) != int(x2) or int(y1) != int(y2)): + if (int(x1) >= 0 and int(y1) >= 0) and (int(x1) < len(data) and int(y1) < len(data)): + result = [[-k, data[int(x1)][int(y1)]]] + result + #print str(result) + " from " + str(x1) + ","+str(y1) + good = True + + if (int(x2) >= 0 and int(y2) >= 0) and (int(x2) < len(data) and int(y2) < len(data)): + result.append([k,data[int(x2)][int(y2)]]) + #print str(result) + " from " + str(x2) + ","+str(y2) + good = True + k += 1 + x += math.cos(angle) + y += math.sin(angle) + return result + +def plotSlice(s): + out = open(".tmp.dat", "w") + + for line in s: + out.write(str(line[0]) + "\t" + str(abs(line[1])**2.0) + "\t" + str(math.atan2(line[1].imag, line[1].real) * math.pi / 180.0) + "\n") + out.close() + out = open(".tmp", "w") + out.write("plot \".tmp.dat\" u 1:(log($2)) w lp\n") + out.close() + + result = os.system("gnuplot --persist .tmp") + + #os.remove(".tmp.dat") + os.remove(".tmp") + return result + +def makeWindow(w, h): + result = [ [0] * h for _ in range(w)] + for x in range(0, w): + for y in range(0, h): + pass + + +def main(argv): + s = argv[1].split(".") + if s[len(s)-1] == "fft": + if (len(argv) > 2): + return plotFile(argv[1], output=argv[2]) + else: + return plotFile(argv[1]) + + image = Image.open(argv[1]).convert("L") + scale = map(float, image.info["scale"].split(" ")) if "scale" in image.info else None + + data = levels(image) + + dataf = offset2d(fft2d(data)) + + + if (len(argv) > 2): + writeData(dataf, argv[2], scale) + else: + writeData(dataf, argv[1]+".fft", scale) + + return 0 + + +if __name__ == "__main__": + sys.exit(main(sys.argv)) + + -- 2.20.1

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