Mathematical models of precise photogrammetry survey

1
Lviv Polytechnic National University
2
Lviv Politecnic National University

A great variety of different method and techniques are used for the processing of images that are got by photogrammetry survey. The methods of the digital photogrammetry on the stage of geometrical model constructing and analyzing results of measuring this model completely use the the apparatus of analytical photogrammetry.Thus the elaboration of different mathematical models is of great importance. The article presents the analysis of the photogrammetry data and methods of their adjustment. The authors formulate the generalized mathematical model that is universal concerning photogrammetry tasks. There is the theoretical solution for joint adjustment of the measured quantities and their functions and control data given in the article. The authors supply with the examples of partial cases that come from generalized model.

1. Ajvazjan C.A., Enjukov H.C., Meshalkin L.D. Prikladnaja statistika. Issledovanie zavisimostej. M. Finansy i statistika, 1985. 215 s.
2. Dorozhinskij A.JI., Grinjuk M.Ja. Uravnivanie funkcij korrelirovannyh izmerenij // Geodezija, kartografija i ajerofotos#jomka. 1980. V 't . 30, s, 91-95.
3. Dorozhinskij A.JI., Grinіok M.Ja. Uravnivanie fototrianguljacii s uchetom funkcional'nyh koordinatnyh svjazej // Geodezija, kartografija i ajerofotos#jomka. 1984, Vyp. 40, s, 143-148.
4. Dorozhinskij A.L. “Teorija i tehnologija metodov analiticheskoj fotogrammetrii v avtomatizirovannyh geologicheskih kompleksah i sistemah”. Dissertacija na soiskanie uchenoj stepeni doktora tehnicheskih nauk. L'vov, 1988.
5. Moskal N.M. Fototeodolitne znimannia z vysokotochnymy opornymy danymy . Zbirnyk materialiv konferentsii “Osnovni napriamky rozvytku fotohrammetrii ta dystantsiinoho zonduvannia v Ukraini”. Kyiv, 1996. s .177-189.
6. Moritz N.A. Generalizet least- squares model.- Studia geoph. as geod., 14,1970, p. 353-362