@ARTICLE{Chinh_Ke_Luong_Mathematical_2007, author={Chinh Ke, Luong}, volume={vol. 56}, number={No 1}, journal={Geodesy and Cartography}, pages={21-35}, howpublished={online}, year={2007}, publisher={Polska Akademia Nauk/ Komitet Geodezji Polskiej Akademii Nauk; Polish Academy of Sciences / Commitee on Geodesy Polish Academy of Sciences}, abstract={Nowadays, an orthomap destined for different purposes can be created from High Resolution Satellite (HRS) images using IKONOS, QuickBird and other satellite imageries having Ground Sampling Distance (GSD) lower than I m. The orthomap is one of the main sources for establishing GIS. Accuracy of the orthomap depends first of all on the parameters of Ground Control Points (GCPs) (the forms, number, accuracy and their distribution). In order to reduce the cost and number of GCP field measurements, the block of HRS images has been proposed. The accuracies of determined points in the block of HRS images are affected by the mathematical model used to build a block. The paper presents a general algorithm of bundle block adjustment model of HRS images using Keplerian parameters. In order to overcome strong correlation among exterior orientation elements of HRS images that causes the normal equation ill-conditioned, the ridge-stein estimator and orbital addition constraints have been proposed.}, type={Article}, title={Mathematical model for bundle block adjustment of HRS images described by Keplerian parameters with orbital constraints}, URL={http://ochroma.man.poznan.pl/Content/121242/PDF-MASTER/4_GK_VOL_56_NO_1_%202007_Luong_Matematyczny.pdf}, keywords={High Resolution Satellite image, parametrical or physical model, replacementsensor model, block adjustment, co-linearity condition}, }