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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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from LinearAlgebra import * from Numeric import * |
from coord_transform import * from scipy import * |
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# polarstereographic coordinate system 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]) # new coordinate system with normalized coordinates y10,x10,y11,x11,y12,x12,y13,x13=0,0,1,0,1,1,0,1 |
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# 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 |
A=coord_transformation(ASAR_p) |
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ICESAT_p,fbh=read_icesat(filename2,sgn) | ICESAT_p,fbh=read_icesat(filename2,sgn) #fbh are measured freeboard heights in cm |
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return x_y_fbh | return x_y_fbh |
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'''coord_transform.py''' {{{#!python from Numeric import * import LinearAlgebra as la def coord_transformation(ASAR_p): # polarstereographic coordinate system 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]) # 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=la.inverse(dot(P0,transpose(P0))) A=dot(Faktor1,Faktor2) # Transformation matrix return A }}} '''read_icesat.py''' |
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from geo_polar import * | from polar_projection import * |
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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 * from read_icesat import * from LinearAlgebra import * from Numeric import * 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: [x_coordinate, y_coordinate, freeboardheight(cm)]""" sgn=-1 #Antarctica 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) # polarstereographic coordinate system 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]) # 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 and computing geographic into polarstereographic coordinates ICESAT_p,fbh=read_icesat(filename2,sgn) # calculating new coordinates for freeboard data x_neu=[] y_neu=[] for x,y in zip(ICESAT_p[0],ICESAT_p[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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{{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 coord_transform import *
5 from scipy 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 A=coord_transformation(ASAR_p)
20
21 # reading freeboard data and computing geographic into polarstereographic coordinates
22 ICESAT_p,fbh=read_icesat(filename2,sgn) #fbh are measured freeboard heights in cm
23
24 # calculating new coordinates for freeboard data
25 x_neu=[]
26 y_neu=[]
27 for x,y in zip(ICESAT_p[0],ICESAT_p[1]):
28 x_neu.append(dot(array([A[0,0],A[0,1]]),array([x,y]))+A[0,2])
29 y_neu.append(dot(array([A[1,0],A[1,1]]),array([x,y]))+A[1,2])
30
31 # cutting off non-corresponding data values
32 m=-1
33 index_vec=[]
34 for xn,yn in zip(x_neu,y_neu):
35 m=m+1
36 if xn<=1. and xn >=0. and yn<=1. and yn >=0.:
37 index_vec.append(m)
38
39 x_bild=[]
40 y_bild=[]
41 fbh_bild=[]
42 for i in index_vec:
43 x_bild.append(x_neu[i])
44 y_bild.append(y_neu[i])
45 fbh_bild.append(fbh[i])
46
47 x_y_fbh=array([x_bild,y_bild,fbh_bild])
48
49 return x_y_fbh
coord_transform.py
1 from Numeric import *
2 import LinearAlgebra as la
3
4 def coord_transformation(ASAR_p):
5 # polarstereographic coordinate system
6 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])
7 # new coordinate system with normalized coordinates
8 y10,x10,y11,x11,y12,x12,y13,x13=0,0,1,0,1,1,0,1
9
10 # calculating transformation matrix:
11 P0=array([[x00, x01, x02, x03],[y00,y01,y02,y03],[1.0,1.0,1.0,1.0]])
12 P1=array([[x10, x11, x12, x13],[y10,y11,y12,y13],[1.0,1.0,1.0,1.0]])
13
14 Faktor1=dot(P1,transpose(P0))
15 Faktor2=la.inverse(dot(P0,transpose(P0)))
16 A=dot(Faktor1,Faktor2) # Transformation matrix
17 return A
read_icesat.py
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: