Full text: Commission VI (Part B6)

  
coordinate system and the principal point one transforms the 
measured pixel coordinates into an image coordinate system 
given by the calibrated values of the fiducial marks. There can 
be 4, 8 or more fiducial marks that have to be measured. 
Other marks which have to be measured as well are réseau 
crosses, which are positioned on a glass plate inside a special 
camera, called réseau camera, and which are imaged to- 
gether with the object. By means of these réseau crosses it is 
possible to detect image deformations or deficiencies of the 
used scanner and thereafter correct them. The mentioned 
marks or crosses are all well-defined, and their image matrix 
is known beforehand. It is called a template. By moving the 
template in steps of one picture element over the image one 
searches in the image for the imaged fiducial mark or cross. 
At each position of the template a correlation coefficient is 
calculated. The position where the correlation coefficient has 
its greatest value is the searched one. The accuracy of the 
determination is the size of one picture element. If subpixel 
accuracy is required, a least square adjustment has to be 
applied. A small shift of the template and two other parame- 
ters (which apply corrections in the greyvalues of the pixels) 
have to be calculated. This rather complex calculation leads 
to a positional accuracy which is about 1/10 of the pixel size. 
The measuring is completely automatic and fast. 
The réseau camera is very handy and a pretty high accuracy 
can be achieved. Réseau cameras and réseau techniques are 
successfully used in industrial applications. (Dold, J. et al., 
1993). 
2.2 The pedagogical concept 
When a theme is selected, the information about this theme 
(the so-called "knowledge") is presented. This occurs by 
means of screen images with text and figures. A text is written 
line by line on the screen, and additional information can be 
displayed when it is wanted. The attached figures are dynami- 
cal ones. The information is presented by small pieces so that 
it can be grasped. The sequence of the text lines can also be 
repeated. Several exercises ("tasks") are connected to the 
themes. The student is active and manipulates a figure or 
calculates values. The result of the "task" is sensed automati- 
cally or typed in the keyboard and immediately checked by the 
program. This immediate and neutral feed back is one of the 
main strengths of this CAL program. 
The user interface is graphical and very simple. There are only 
few fields with their icons and texts to point to. The ones at the 
bottom line are used for the navigation through the program, 
the ones on the right side for the manipulation within the 
displayed screen image (compare the figure). They are started 
by means of the mouse or the track pad. A 'help' window 
informs about the next steps to be taken. A simulated pocket 
calculator can be used for the calculation of the results. The 
language in the texts is English only. 
2.3 The technical concept 
The prototype of "LDIP" uses Macintosh hardware, the 
models "2si" and "PowerBook 520". Both of them can be 
connected to a CD 300 drive in order to read imagery from a 
CD-ROM. The transportable PowerBook with a black and 
'white screen can also be connected to a plasma screen 
(LCD) which enables the projection on a large screen in 
colour. The PowerBook can be upgraded to a PowerPC 
which then also makes possible the emulation of the DOS 
operating system so that PC programs can be used at a 
reasonable speed. 
The software is written in Think Pascal and runs under the 
'System 7.1'. This operating system contains also toolboxes - 
with numerous functions for the development of CAL software 
such as pull down menus, input and message boxes, icons, 
image and sound facilities. 
  
THEME 1: AUTOMATIC MEASUREMENT gb 
OF RÉSEAU CROSSES AND FIDUCIAL MARKS 
SEARCH MATRIX 
TARGET MATRIX 
- THE POSITION OF THE TARGET (RÉSEAU CROSS OR 
FIDUCIAL MARK) SHALL BE FOUND IN THE SEARCH MATRIX 
- THE DENSITIES OF THE TARGET HAVE 
NOISE AND SMEAR THE IMAGE 
- THE TARGET MATRIX IS MOVED PIXEL BY PIXEL OVER 
t THE SEARCH MATRIX 
- AT EACH POSITION A CORRELATION COEFFICIENT (r) IS 
CALCULATED 
- THE POSITION WITH THE GREATEST VALUE OF r IS 
THE REQUIRED POSITION 
Information 
  
  
   
   
  
  
  
  
  
   
   
      
HELP 
P =) @ 
INFORMATION TASK REPEAT RETURN TO MAIN MENU STOP 
  
  
  
Fig. 2. Screen image for 'Knowledge' in the CAL program 
“LDIP”. At this moment of the sequence all of the text lines 
and the additional information is displayed. The target matrix 
of 5 x 5 pixels is situated within the search matrix at the 
position where the correlation coefficient is r=0.28. 
All image data shall be stored on an assembled CD-ROM 
which has to be produced from imagery originally stored on 
various media and at various formats. The image data is 
loaded from an attached or integrated CD-ROM drive or from 
various discs if CD-ROM drives are not available. 
2.4 Description of the use 
2.4.1 Automatic measurement of réseau crosses and 
fiducial marks: Five text lines for this theme are displayed 
sequentially, they are coordinated with the attached figure. In 
this dynamic figure a target matrix moves over the search 
matrix and the correlation coefficients are displayed at each 
position (see fig. 2). The grey values of the two images 
(search and target area) can be displayed as numbers or as 
shades of grey. With the field "INFORMATION" the formulas 
for the correlation coefficient can be displayed in addition. 
Also, the different parameters in the formula are then explain- 
ed in detail. All this information is necessary for carrying out 
the related exercise (task 1.1). For this purpose, the field 
"TASK" has to be activated. 
2.4.2 Automatic measurement - task 1.1: The best fit of 
two density profiles (target and search area) has to be found, 
first manually by moving the target area over the search area. 
The user clicks either on the icon "RIGHT" or "LEFT", 
whereby the target area moves in the selected direction. At 
the position of best fit a correlation coefficient has to be 
calculated. The pocket calculator can be used for the compu- 
tation. If the student has forgotten the formula for the compu- 
tation of the correlation coefficient, the icon "KNOWLEDGE" 
is clicked on which leads back to the screen image with the 
formula. The computed value has to be typed in the keyboard 
and is displayed at the input window. If the result is correct, 
the program will indicate it by writing and saying "CORRECT!" 
In the other case the written and spoken answer are 
"WRONG!". By means of the icons "NEXT TASK" or "RE- 
TURN TO MAIN MENU" the student can proceed. 2.4.3 
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