TABLE OF CONTENTS 
Page 
ABSTRACT , 2.0. 20000000 000000000008 3 
I, INIRODUCTION + 2220000070 0005400040000 BP 
II. THE GENERAL PROBLEM OF ANALYTICAL PHOTOGRAMMETRY . . . . 6 
III. THE CONDITION OF CO-LINEARITY AS THE SOLE | 
CONDITION NECESSARY TO SOLVE THE PROBLEM 
OF ‘ANALYTICAL PHOTOGRAMMETRY . » © » + + © + + + 9 # » © 6 
A. The Photogrammetric Bundle and Its Orientation . . . 7 
B. The Control Data and the Associated Residuals « « 9 
C. The Plate Measurements and the Associated 
ReosidualS. + + + 0 5s 20 0% vin ule 0 en wv ee 9 
IV. THE LEAST SQUARES SOLUTION . . . + «9 s s en n t t ng ng 17 
à A Direct Solution. . 2... 0000 04000 440 9 
B. A Solution by Partitioning « » » + + € 6 + # + + +0 24 
°C On the Use of Celestial Control Points . . » ¢ ¢ » *. 50 
D. Taking into Consideration Additional Geometric 
C onditions e a o e e e o o o e o e e . e 9 e. e e. e e 32 
E. A Solution for Triangulating Points Not Included 
in the Least Squares Treatment for the Orientation 
Parameterß ... 0.0.0.0. + + + + + #9 # + + 9 + + * ? 39 
F. ‘The Determination of the Mean Errors of an 
Observation of Unit Weight of the Elements of 
the Orientations and of the Triangulation 
  
Re sults e e o o e o o o o o ° o o ° o o o 9 o e ° o 9 hi 
G. An Example of the Described Solution, Using 
Functional Schematics, + + + + + + » » + + + + + ++ hl 
V. A REFERENCE FOR AN AUXILIARY GOORDINATE 
TRANSF ORMAT ION . e e 9 o o e. a o * o . o e a o 9 e e. e e 49 
VI. DETERMINATION OF RADIAL DISTORTION . . ++ ++ +++ 05 49 
VII. CONSIDERATION OF REFRACTION. + . +. 22 0 0000000 0 5H 
VIII, THE TREATMENT OF STRIP AND BLOCK TRIANGULATION . . . . . 70 
IX. SUMMARY AND CONCLUSIONS. + » + + + + ++ + + + 0 000 0 TO