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| Eckpunkte und Aufloseung des ASAR-Bildes variieren frei -> allgemeingueltiges Programm fuer den Uebergang der Output erfolgt als Vektor in der Form x, y, Freiboardhoehe; eventuell die Floatangabe | Eckpunkten und Aufloseung des ASAR-Bildes variieren frei -> allgemeingueltiges Programm fuer den Uebergang des Outputs erfolgt als Vektor in der Form x, y, Freiboardhoehe(fbh) | 
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| import string | from read_icesat import * from LinearAlgebra import * from Numeric import * | 
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| def fit_freeboard_ASAR(filename1,filename2,resolution): """filename1: ASAR data file, filename2: freeboard data file, resolution: ASAR image data resolution creates new coordinate system defined by corners of ASAR image and selects freeboard values within ASAR image box and returns an array containing normalized image coordinates and corresponding freeboard values: | def fit_freeboard_ASAR(filename1,filename2): """filename1: ASAR data file, filename2: freeboard data file creates new coordinate system defined by corners of ASAR image and selects freeboard values within ASAR image box returns an array containing normalized image coordinates and corresponding freeboard values: | 
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| lat1,lon1,lat2,lon2,lat3,lon3,lat4,lon4=read_asar_corners(filename1) ASAR_1=[lat1,lon1] ASAR_2=[lat2,lon2] ASAR_3=[lat3,lon3] ASAR_4=[lat4,lon4] ASAR_1p=mapll(ASAR_1[0],ASAR_1[1],sgn) #computing polarstereographic coordinates ASAR_2p=mapll(ASAR_2[0],ASAR_2[1],sgn) ASAR_3p=mapll(ASAR_3[0],ASAR_3[1],sgn) ASAR_4p=mapll(ASAR_4[0],ASAR_4[1],sgn) X=int(abs(ASAR_2p[0]-ASAR_1p[0])/resolution) #image size in pixel Y=int(abs(ASAR_4p[1]-ASAR_1p[1])/resolution) | ASAR=array(read_asar_corners(filename1)) ASAR_p=zeros(8) for k in arange(0,7,2): #computing polarstereographic coordinates ASAR_p[k:k+2]=mapll(ASAR[k],ASAR[k+1],sgn) | 
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| y00,x00,y01,x01,y02,x02,y03,x03=int(ASAR_1p[1]),int(ASAR_1p[0]),int(ASAR_4p[1]),int(ASAR_4p[0]),int(ASAR_3p[1]),int(ASAR_3p[0]),int(ASAR_2p[1]),int(ASAR_2p[0]) | y00,x00,y01,x01,y02,x02,y03,x03=int(ASAR_p[1]),int(ASAR_p[0]),int(ASAR_p[7]),int(ASAR_p[6]),int(ASAR_p[5]),int(ASAR_p[4]),int(ASAR_p[3]),int(ASAR_p[2]) | 
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| # reading freeboard data lon=[] lat=[] fbh=[] datei = open (filename2, 'r') line=datei.readline() k=-1 while line!="": k=k+1 data=string.split(line) lon.append(float(data[0])) lat.append(abs(float(data[1]))) fbh.append(float(data[2])) line=datei.readline() polar=mapll(array(lat),array(lon),sgn) | # reading freeboard data and computing geographic into polarstereographic coordinates ICESAT_p,fbh=read_icesat(filename2,sgn) | 
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| for x,y in zip(polar[0],polar[1]): | for x,y in zip(ICESAT_p[0],ICESAT_p[1]): | 
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| # cutting off non-corresponding data values | # cutting off non-corresponding data values | 
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| }}} | |
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| {{{#!python import string from polar_projection import * from scipy import io def read_icesat(filename,sgn): data=io.read_array(filename) polar=mapll(data[:,1],data[:,0],sgn) fbh=data[:,2] return polar,fbh | |
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| Zum Testen hängt man an das obige Programm folgende Zeilen an: | |
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| from polar_projection import * from read_asar import * import string def fit_freeboard_ASAR(filename1,filename2,resolution): """filename1: ASAR data file, filename2: freeboard data file, resolution: ASAR image data resolution creates new coordinate system defined by corners of ASAR image and selects freeboard values within ASAR image box returns an array containing normalized image coordinates and corresponding freeboard values: [x_coordinate, y_coordinate, freeboardheight(cm)]""" sgn=-1 #Antarctica lat1,lon1,lat2,lon2,lat3,lon3,lat4,lon4=read_asar_corners(filename1) ASAR_1=[lat1,lon1] ASAR_2=[lat2,lon2] ASAR_3=[lat3,lon3] ASAR_4=[lat4,lon4] ASAR_1p=mapll(ASAR_1[0],ASAR_1[1],sgn) #computing polarstereographic coordinates ASAR_2p=mapll(ASAR_2[0],ASAR_2[1],sgn) ASAR_3p=mapll(ASAR_3[0],ASAR_3[1],sgn) ASAR_4p=mapll(ASAR_4[0],ASAR_4[1],sgn) X=int(abs(ASAR_2p[0]-ASAR_1p[0])/resolution) #image size in pixel Y=int(abs(ASAR_4p[1]-ASAR_1p[1])/resolution) # polarstereographic coordinate system y00,x00,y01,x01,y02,x02,y03,x03=int(ASAR_1p[1]),int(ASAR_1p[0]),int(ASAR_4p[1]),int(ASAR_4p[0]),int(ASAR_3p[1]),int(ASAR_3p[0]),int(ASAR_2p[1]),int(ASAR_2p[0]) # new coordinate system with normalized coordinates y10,x10,y11,x11,y12,x12,y13,x13=0,0,1,0,1,1,0,1 # calculating transformation matrix: P0=array([[x00, x01, x02, x03],[y00,y01,y02,y03],[1.0,1.0,1.0,1.0]]) P1=array([[x10, x11, x12, x13],[y10,y11,y12,y13],[1.0,1.0,1.0,1.0]]) Faktor1=dot(P1,transpose(P0)) Faktor2=inverse(dot(P0,transpose(P0))) A=dot(Faktor1,Faktor2) # Transformation matrix # reading freeboard data lon=[] lat=[] fbh=[] datei = open (filename2, 'r') line=datei.readline() k=-1 while line!="": k=k+1 data=string.split(line) lon.append(float(data[0])) lat.append(abs(float(data[1]))) fbh.append(float(data[2])) line=datei.readline() polar=mapll(array(lat),array(lon),sgn) # calculating new coordinates for freeboard data x_neu=[] y_neu=[] for x,y in zip(polar[0],polar[1]): x_neu.append(dot(array([A[0,0],A[0,1]]),array([x,y]))+A[0,2]) y_neu.append(dot(array([A[1,0],A[1,1]]),array([x,y]))+A[1,2]) # cutting off non-corresponding data values m=-1 index_vec=[] for xn,yn in zip(x_neu,y_neu): m=m+1 if xn<=1. and xn >=0. and yn<=1. and yn >=0.: index_vec.append(m) x_bild=[] y_bild=[] fbh_bild=[] for i in index_vec: x_bild.append(x_neu[i]) y_bild.append(y_neu[i]) fbh_bild.append(fbh[i]) x_y_fbh=array([x_bild,y_bild,fbh_bild]) return x_y_fbh | |
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| resolution=0.025 ergebnis=fit_freeboard_ASAR(filename1,filename2,resolution) | ergebnis=fit_freeboard_ASAR(filename1,filename2) | 
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| {{attachment: schemabild.eps}} | {{attachment:schemabild.jpg}} {{attachment.schemabild2.jpg}} | 
Die Besprechung ueber das Vorgehen ihrer Aufgaben ergab:
- die Transformation in polarstereographische Koordinaten und der nachfolgende Uebergang zu den Bildpunkten von ASAR Eckpunkten und Aufloseung des ASAR-Bildes variieren frei -> allgemeingueltiges Programm fuer den Uebergang des Outputs erfolgt als Vektor in der Form x, y, Freiboardhoehe(fbh) 
fbh_bildkoordinaten.py
   1 from polar_projection import *
   2 from read_asar import *
   3 from read_icesat import *
   4 from LinearAlgebra import *
   5 from Numeric import *
   6 
   7 def fit_freeboard_ASAR(filename1,filename2):
   8     """filename1: ASAR data file, filename2: freeboard data file
   9        creates new coordinate system defined by corners of ASAR image and selects freeboard values within ASAR image box
  10        returns an array containing normalized image coordinates and corresponding freeboard values:
  11        [x_coordinate, y_coordinate, freeboardheight(cm)]"""
  12     
  13     sgn=-1  #Antarctica
  14     ASAR=array(read_asar_corners(filename1))
  15     ASAR_p=zeros(8)
  16     for k in arange(0,7,2):       #computing polarstereographic coordinates
  17         ASAR_p[k:k+2]=mapll(ASAR[k],ASAR[k+1],sgn)
  18    
  19     # polarstereographic coordinate system
  20     y00,x00,y01,x01,y02,x02,y03,x03=int(ASAR_p[1]),int(ASAR_p[0]),int(ASAR_p[7]),int(ASAR_p[6]),int(ASAR_p[5]),int(ASAR_p[4]),int(ASAR_p[3]),int(ASAR_p[2])
  21     # new coordinate system with normalized coordinates  
  22     y10,x10,y11,x11,y12,x12,y13,x13=0,0,1,0,1,1,0,1
  23 
  24     # calculating transformation matrix:
  25     P0=array([[x00, x01, x02, x03],[y00,y01,y02,y03],[1.0,1.0,1.0,1.0]])
  26     P1=array([[x10, x11, x12, x13],[y10,y11,y12,y13],[1.0,1.0,1.0,1.0]])
  27 
  28     Faktor1=dot(P1,transpose(P0))
  29     Faktor2=inverse(dot(P0,transpose(P0)))
  30     A=dot(Faktor1,Faktor2)  # Transformation matrix 
  31 
  32     # reading freeboard data and computing geographic into polarstereographic coordinates
  33     ICESAT_p,fbh=read_icesat(filename2,sgn)
  34 
  35     # calculating new coordinates for freeboard data
  36     x_neu=[]
  37     y_neu=[]
  38     for x,y in zip(ICESAT_p[0],ICESAT_p[1]):
  39         x_neu.append(dot(array([A[0,0],A[0,1]]),array([x,y]))+A[0,2])
  40         y_neu.append(dot(array([A[1,0],A[1,1]]),array([x,y]))+A[1,2])
  41 
  42     # cutting off non-corresponding data values  
  43     m=-1
  44     index_vec=[]
  45     for xn,yn in zip(x_neu,y_neu):
  46         m=m+1
  47         if xn<=1. and xn >=0. and yn<=1. and yn >=0.:
  48             index_vec.append(m)
  49 
  50     x_bild=[]
  51     y_bild=[] 
  52     fbh_bild=[]
  53     for i in index_vec:
  54         x_bild.append(x_neu[i])
  55         y_bild.append(y_neu[i])
  56         fbh_bild.append(fbh[i])
  57 
  58     x_y_fbh=array([x_bild,y_bild,fbh_bild])
  59 
  60     return x_y_fbh 
Die benötigten Module polar_projection.py und read_asar.py sind auf der Seite der Arbeitsgruppe 0 AG0_ASAR_Einlesen zu finden.
fbh_bildkoordinaten_test.py
Zum Testen hängt man an das obige Programm folgende Zeilen an:
 
 
