Full text: XVIIIth Congress (Part B1)

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Least squares methods and some other related procedures 
may give solution to an important group of problems of 
photogrammetry and, generally, of survey and mapping, as 
for example: 
e network/block/joint adjustment; 
© surface reconstruction, form descriptors; 
e feature extraction and parsing; 
e image/map/object matching. 
Going further with the above said division of adjustment 
and interpolation/approximation problems of photogram- 
metry and, generally, of survey and mapping, first area col- 
lects: 
e on-line triangulation of images: spaceborne, airborne 
and terrestrial; 
e GPS data processing, automatic surveying (robotics). 
Prior to processing, it should be pointed out pre- 
processing of data collected by space photogrammetry tech- 
niques (SPOT, MOMS, SAR, ...), with due care, as well as 
in geodesy (e.g. GPS) and related sciences. 
As far as interpolation and approximation are concerned, 
one should remind a class of problems of photogrammetry 
and cartography, related to: 
e measurement devices (camera calibration and other 
systems and sensors) and secondary effects; 
e morphological features extraction, image/map/object 
matching; 
e DEM generation, orthoimage production and super- 
imposition; 
e image processing, analysis (classification) and under- 
standing (semantic interpretation). 
Note that these problems usually involve a large number 
of observations and parameters and, consequently, require 
the solution of large systems, i.e. systems with a large num- 
ber of equations and unknowns. For these reasons, because 
blunders, leverages and small outliers occur often in large 
sets of data, robust procedures (robust estimators, reliabil- 
ity analysis, ..) suitably provide for data preprocessing, 
testing and archiving. 
References 
Ackermann F. (1979): The concept of reliability in aerial 
triangulation. Ricerche di Geodesia Topografia e Fo- 
togrammetria, n. 1, CLUP, Milano. 
Baarda W. (1967): Statistical concepts in geodesy. Nether- 
lands Geodetic Commission, new series, vol. 2, n. 4, 
Delft. 
Baarda W. (1968): A testing procedure for use in geodetic 
networks. Netherlands Geodetic Commission, new series, 
vol. 2, n. 5, Delft. 
Barbarella M., Mussio L. (1985): A strategy for a ro- 
bust identification of the outliers in the geodetic sciences. 
Statistics and Decisions, supplement issue n. 2, pp. 397—- 
405, R. Oldenbourg Verlag, Munich. 
Benciolini B., Mussio L., Sansó F. (1982): An approach 
to gross error detection more conservative than Baarda 
snooping. Int. Archives of Photogrammetry, vol. XXIV, 
part 3, pp. 41—59, Helsinki. 
Bucciarelli B., Forlani G., Mussio L. (1992): Robust estima- 
tion by using linear sequential algebra. Int. Archives of 
Photogrammetry and Remote Sensing, vol. XXIX, part 
B2, pp. 328-333, Washington D.C. 
Draper N.R., Smith H. (1961): Applied regression analysis. 
John Wiley & Sons, New York. 
Golub G.H., van Loan C.F. (1986): Matrix computations. 
North Oxford Academic, London. 
Hampel F.R., Ronchetti E.M., Rousseeuw P.J., Stahel W.A. 
(1986): Robust statistics. John Wiley & Sons, New York. 
Huber P.J. (1981): Robust statistics. John Wiley & Sons, 
New York. 
Hawkins D.M. (1980): Identification of outliers. Chapman 
and Hall, London. 
Krarup T., Juhl J., Kubik K. (1980): Gétterdammerung 
over least squares adjustment. Int. Archives of Pho- 
togrammetry, vol. XXIII, part B3, pp. 369-378, Ham- 
burg. 
Forstner W. (1986): Final report on the joint test on gross 
error detection of OEEPE and ISP WG III/1. OEEPE, 
official publication n. 18, Frankfurt am Main. 
Lawson C.L., Hanson R.J. (1974): Solving least squares 
Problems. Prentice Hall, Englewood Cliffs (New Jersey). 
Rousseeuw P.J., Leroy A.M. (1987): Robust regression and 
outlier detection. John Wiley & Sons, New York. 
Wicki F. (1992): Robuste ausgleichung geodätischer netze. 
ETH-ZH, Inst. für Geodäsie und Photogrammetrie, 
Bericht 189, Zurich. 
Wicki F. (1992): Robuste M - schátzer und zuverlässigkeit. 
ETH-ZH, Inst. für Geodäsie und Photogrammetrie, 
Bericht 190, Zurich. 
149 
International Archives of Photogrammetry and Remote Sensing. Vol. XXXI, Part B1. Vienna 1996 
 
	        
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