CE 59700: Digital Photogrammetric Systems. Lab2: Single Photo Resection

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1 CE 9700: Digitl Phtgrmmetric Sstems L: Sigle Pht Resecti

2 Ojectives Determie the Eterir Orietti Prmeters (EOPs f sigle pht usig lest squres justmet prceure. Am F. Hi

3 Sme tset fr l # Y Give X Z Lscpe Me Prtrit Me GOPR00 GOPR000 GOPR000 GOPR000 GOPR00 GOPR000 GOPR000 GOPR000 GOPR00 GOPR0007 GOPR0008 GOPR0009 GOPR00 GOPR00 GOPR00 GOPR000 Am F. Hi

4 Give Imge crites f the clirti trgets s mesure/prvie i L fr imges GOPRO000.jpg GOPRO000.jpg GOPRO00.jpg GOPRO00.jpg; Estimte IOPs frm l # (pricipl pit crites pricipl istce les istrti prmeters; Estimte gru crites f the ifferet trgets i the clirti test fiel. Am F. Hi

5 Sigle Pht Resecti (SPR The jective f sigle pht resecti is t etermie the psiti f the perspective ceter the rietti f the imge crite sstem (i.e. the EOPs fr give imge reltive t the gru crite sstem. perspective ceter psiti & rietti reltive t the gru crite sstem? imge mesuremets ctrl pits terri Am F. Hi

6 Step: Mth. Mel (Cllierit Equtis r ( X X r ( Y Y r ( Z Z c ist c ist p p r ( X X r ( Y Y r ( Z Z D Wht re the kw ukw qutities? r ( X X r ( Y Y r ( Z Z c ist c ist p p r ( X X r ( Y Y r ( Z Z D r r D r ( X X r ( Y Y r ( Z Z ( X X r ( Y Y r ( Z Z ( X X r ( Y Y r ( Z Z Kw/Oserve Qutities:. imge mesuremets. iterir rietti prmeters. gru crites f ctrl pits Ukw Qutities:.psiti f perspective ceter.rietti f imge crite sstem Am F. Hi

7 Step: Lierizti f Cllierit Equtis T implemet lest squre justmet prceure r ( X X r ( Y Y r ( Z Z c ist c ist p p r ( X X r ( Y Y r ( Z Z D r ( X X r ( Y Y r ( Z Z c ist c ist p p r ( X X r ( Y Y r ( Z Z D Lierizti Wh? r ( X X r ( Y Y r ( Z Z Hw? r ( X X r ( Y Y r ( Z Z D r ( X X r ( Y Y r ( Z Z lier mel with respect t the ukw prmeters Tlr s therem 7 Am F. Hi

8 Am F. Hi Step: Lierizti f Cllierit Equtis ( ( ( ( ( ( p p r X X r Y Y r Z Z c ist c ist r X X r Y Y r Z Z D ( ( ( ( ( ( p p r X X r Y Y r Z Z c ist c ist r X X r Y Y r Z Z D Z Z Y Y X X Z Z Y Y X X Lierizti. re the evlute imge crites usig the iitil pprimtis f the ukws prmeters.. etc. re the prtil erivtives f with respect t the iicte ukws evlute t the iitil pprimtis f these prmeters.. etc. re the ukw crrectis t e pplie t the iitil pprimtis. Y X Y X 8

9 Step: Iitilizti f EOPs Use the sketch i l # (the e shwig the pprimte lcti rietti f the ifferet imges reltive t the clirti test fiel crite sstem t cme up with pprimtis fr the EOPs f the ifferet imges. 9 Am F. Hi

10 Am F. Hi Step: Lest Squres Ajustmet Prceure / / / / / / e e e e e e Z Y X Z Y X Z Y X Z Y X Z Y X Y A X e 0

11 Step: Lest Squres Ajustmet Prceure Strtig frm iitil vlues fr the eterir prmeters; while( prepre Y A mtrices usig iitil vlues; slve fr X_ht usig the Y A mtrices; upte iitil vlues usig X_ht; e If(# itercti > 00 r ( X_ht <.0e- e stp iterti; cmpute fil vlues fr the eterir rietti prmeters; cmpute the vrice cmpet; cmpute the vrice-cvrice mtri f the estimte ukws; cmpute the resiuls f imge crite mesuremet; Am F. Hi

12 Deliverles Reprt Preprti Yur l reprt shul iclue the fllwig fr imges (GOPRO000.jpg GOPRO000.jpg GOPRO00.jpg GOPRO00.jpg: Mesure imge crites the pprimtis t the ukw EOPs The mifie Eterir Orietti Prmeters fter ech iterti The fil juste vlues f the Eterir Orietti Prmeters ± str evitis Cmpris with the BASC-se EOPs fr thse imges A estimte f the vrice cmpet The -psteriri vrice-cvrice (ispersi mtri f the prmeters The resiuls sscite with the imge crite mesuremets Eplti f ur results prlems ecutere Cmputer ce fr the SPR prceure Am F. Hi

ENGO 431 Analytical Photogrammetry

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