STRAIGHT LINES IN LINEAR ARRAY SCANNER IMAGERY
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1 Devn Kelle STRIGHT LINES IN LINER RR SCNNER IMGER mn Hbb, Devn Kelle, ndne smmw Depmen of Cvl nd Envonmenl Engneeng nd Geode Sene The ho Se Unves ISPRS Commsson III KE WRDS: Lne Feues, Lne Snnes, el Tngulon BSTRCT Inesed use of dgl mge hs fled he oppoun o use feues, n ddon o pons, n phoogmme pplons. Sgh lnes e ofen pesen n obje spe, nd po eseh hs foused on nopong sghlne onsns no he bundle djusmen fo fme mge. In hs eseh, we nodue sgh-lne onsn n he bundle djusmen fo lne snnes. lne snne sene s qued usng dffeen geome hn fme mes. sene s omposed of sequene of mges, eh of whh m be slghl shfed gns eh ohe due o slgh hnges n he ssem s jeo. s esul, sgh lnes n obje spe do no ppe s sgh lnes n mge spe. The poposed bundle djusmen onsn ommodes hs dsoon. The undelng pnpl n hs onsn s h he veo fom he pespeve ene o sene pon on sgh-lne feue les on he plne defned b he pespeve ene nd he wo obje pons defnng he sgh lne. Ths onsn ulzes he pespeve nsfomon model fo pon feues n lne snne mge. The poposed ehnque mkes use of sgh-lne feues n obje spe, nd ds n he eove of he eeo oenon pmees s well s ddng o he geome sengh of he bundle djusmen. Ths onsn hs been embedded n bundle djusmen sofwe pplon, developed he ho Se Unves, h models fme nd lne snne mge 1. INTRDUCTIN Mos phoogmme pplons e bsed on he use of dsn pons. These pons e ofen obned hough mesuemens n n nlog o dgl envonmen. Reenl, moe enon hs been dwn o lne feues. Thee e sevel movons fo he ulzon of lne feues n phoogmme: Pons e no s useful s lne feues when omes o hghe level sks suh s obje eognon. uomon of he mp mkng poess s one of he mjo sks n dgl phoogmme nd ogph. I s ese o uomll e lne feues fom he mge he hn dsn pons Kubk, Imges of mn mde envonmen e h wh lne feues. Hbb 1999 dsusses he vous opons fo sgh-lne epesenon n phoogmme pplons. The pm epesenon onsdeons e unqueness nd sngules. In hs eseh, sgh lnes n obje spe e epesened b usng wo pons long he lne. In hs w, he lne segmen s well lolzed n he obje spe. Ths epesenon s ve beuse suh oodnes n be esl nodued o obned fom GIS dbse. Pevous eseh on lne feues n phoogmme hs foused pml on fme mge. Sgh-lne onsns n be nopoed no he bundle djusmen b ulzng he f h he pespeve nsfomon of sgh lne s lso sgh lne. Mkhl nd Weewong 1994 poposed sgh-lne onsn h onsns un veo defnng he obje spe lne, he veo fom he pespeve ene o pon on he obje lne, nd he veo fom he pespeve ene o he mge pon o be opln. In he ppoh, he obje lne s epesened s n nfne lne segmen. Hbb 1999 poposed sgh-lne onsn, whh foes he plne defned b he mge lne o be opln wh he plne defned b he pespeve ene nd wo obje pons defnng he lne. In hs ppoh he obje lne s defned b wo pons, lolzng n spe. These ehnques el on he use of fme mge. 178 Inenonl hves of Phoogmme nd Remoe Sensng. Vol. III, P B1. msedm.
2 Devn Kelle. BCKGRUND.1. Lne snne mge Wh he nesed use of dgl phoogmme, hee e movons o use dgl mes o fle he uomon of phoogmme sks. To n he sme esoluon s el fme phoogph, K K -D dgl sensos would be neess. Howeve, hs me, he hghes esoluon ommell vlble s 4K 4K. Lne snnes smule -D mges b usng 1-D of sensos openg wh n open shue on movng plfom. Lne snnes hve one o moe 1-D s of CCD sensos n he mge plne. The eleomgne eneg nden upon hese sensos gven me wll onsue n mge. Movemen of he plfom nd/o oon of he lens onfguon wll enble suessve ovege of dffeen es on he gound. sene s defned s sequene of lne snne mges. Dependng on he numbe of 1D-s, he snnng deon nd he elon of he senso wh he flgh deon, one dffeenes beween hee-lne, pushboom nd pnom lne snnes see fgues 1 nd. Flgh Deon Pespeve Cene Pespeve Cene. Fme Cme b. Pushboom Snne Fgue 1: Pespeve geome of fme mes nd pushboom snnes b. Flgh Deon Sn ngle Flgh Deon Pespeve Cene. Thee-lne Snne b. Pnom Lne Snne Fgue : Pespeve geome of hee-lne snnes nd pnom lne snnes b. Pevous eseh The ho Se Unves hs foused on modelng he pespeve geome of lne snnes Hbb nd Beshh, The ollne model used fo fme mge hs been modfed n suh w h s lso vld fo pushboom, hee-lne nd pnom lne snnes. Ths model ommodes he mos genel seno fo lne snnes- pnom lne snnes. Collne models fo he ohe snne Inenonl hves of Phoogmme nd Remoe Sensng. Vol. III, P B1. msedm. 179
3 18 Inenonl hves of Phoogmme nd Remoe Sensng. Vol. III, P B1. msedm. 3 pes e esl deved fom hs model, nd mplemened b fng some of he pmees of he pnom model. The pespeve nsfomon model fo pon feues n lne snnes s s follows P P D N N whee D N D N m 1, : mge oodne mesuemen of pon me,, : obje oodnes of pon P, P, : lbed pnpl pon poson nd pnpl dsne of he me , : me dependen elemens of he ombned oon mes,, T T R R κ φ ω α α : sn ngle fo pnom senso me m : mge moon ompenson me,, : me dependen obje oodnes of he pespeve ene.. Sgh-lne onsn fo fme mge Hbb 1999 nodued sgh-lne onsn fo he bundle djusmen wh fme mge. Ths funon onsns he pespeve ene of n mge, he mge lne nd n obje pon h belongs o h lne o be opln. The onsn s mplemened n he followng w. In one mge, wo pons e mesued o defne he obje lne see Fgue 3. The mge nd obje pons e eled b he ollne equons. These pons do no need o be vsble n subsequen mges. In eh subsequen mge, he mge lne s epesened b pol oodnes Eq.. Whh n lso be wen s: The wo pons defnng he obje lne n be pojeed no he mge spe of he h mge b he ollne equons Eq. 4 nd mus ssf he equon of he lne Eq. 3. Fnll, he onsn elng he h mge lne wh n of he pons long he obje lne n be defned s follows. ρ sn os T R λ sn os ρ R T sn os ρ 4 5 Devn Kelle
4 Devn Kelle Hee, λ s gnoed beuse λ. In summ, hee e wo seps o mplemenng hs onsn. Fs, n one mge, he sgh lne s defned b mesung wo pons &B, geneng fou ollne equons Fgue 3. Ne, n eh subsequen ovelppng mge, h lne s defned n ems of pol oodnes- ddng wo ndependen onsn equons fo nd B. I s mpon o noe h n eh ovelppng mge, no moe hn wo ndependen onsn equons n be geneed fo pul lne. PC 1 PC b ρ, B Fgue 3: Geome of he sgh-lne onsn fo fme mge. 3. STRIGHT LINES IN LINER RR SCNNER IMGER The undelng pnpl n he sgh-lne onsn fo lne snne mge s h he veo fom he pespeve ene o sene pon on sgh-lne feue les on he plne defned b he pespeve ene nd he wo obje pons defnng he sgh lne. In obje spe, sgh lnes e o be epesened b wo pons long he lne. The oespondng lne n mge spe wll be epesened s sequene of pons h m no le on sgh lne. Fgue 4: Pespeve geome nd sgh lnes n lne snne mge. s shown n Fgue 4, wo pons n one sene e used o defne sgh lne n obje spe. The obje pon, he oespondng mge pon nd he pespeve ene of he eposue son le on sngle lgh. Theefoe, he genelzed ollne equons Eq. 1 n be ppled o eh of he wo pons defnng he lne. Fo eh mge, he veo fom he pespeve ene o n mge pon long he lne n be defned wh espe o he gound oodne ssem s: p v V 1 R ω, φ, κ 6 p Inenonl hves of Phoogmme nd Remoe Sensng. Vol. III, P B1. msedm. 181
5 Devn Kelle The mulplon wh he oon m R, nsfoms he veo no he gound oodne ssem. The veo fom he pespeve ene o he fs obje pon long he lne s defned s: 1 v V 1 1 The veo fom he pespeve ene o he seond obje pon long he lne s defned s: v V3 Boh veos Eq. 7 nd 8 e defned wh espe o he gound oodne ssem. 7 8 s llused n Fgue 5, he veos fom he pespeve ene o eh sene pon long he lne should le on he plne h s defned b he pespeve ene nd he wo obje pons defnng he sgh lne. Ths ondon n be fomuled s: v v v V V3 V1 9 P,,, ω, φ, κ, 1, 1, 1,, Fgue 5: Plne defned b wo obje pons nd he pespeve ene. Ths onsn fo sgh lnes n el ngulon s funon of he followng pmees. f 1, 1, 1,,,,,,, ω, φ, κ,, 1 The unknown pmees e he EPs of he mges nd he gound oodnes of he wo pons &B defnng he lne. These wo pons e mesued n one sene. In eh sene h he lne s vsble, he onsn Eq. 9 n be ppled o ll pons mesued long he lne, egdless of whehe o no he defnng pons e vsble. Beuse he EPs hnge fom one pon o he ne, he numbe of ndependen onsns wll equl he numbe of mesued pons long he lne. The gound oodnes of he supplemenl pons long he sgh lne e no deemned dung he bundle djusmen. These mesued pons onl onbue o nese he geome sengh of he djusmen. The onsn n lso be ppled o fme mge. In hs se, onl wo ndependen onsns n be geneed pe mge, due o he f h hee s onl one se of EPs ssoed wh sngle mge. 18 Inenonl hves of Phoogmme nd Remoe Sensng. Vol. III, P B1. msedm.
6 Devn Kelle 4. EPERIMENTS/RESULTS The poposed sgh-lne onsn n el ngulon hs been esed fo fme, hee-lne nd pnom lne snne mge, usng he MST Mul Senso el Tngulon sofwe, developed he ho Se Unves. The djusmens wee pefomed wh nd whou he sgh-lne onsn, usng e pons n boh ses. The RMS vlues beween he djused nd geode gound oodnes of he e pons e shown n Tbles - 4. n ovevew of he es d onfguons s shown n Tble 1. Numbe of mges Numbe of e lnes Fme mge 1 8 Thee-lne snnes 6 Pnom lne snnes 4 7 Tble 1: Confguon fo bundle djusmen wh pons nd sgh lnes Fo fme mge, he es feld n Fgue 6 ws used o fom blok of welve mges. Egh lnes wee used n he ovelppng e. el ngulon ws pefomed wh nd whou he lne feue onsn. The esuls e shown n Tble. Fgue 6: Tes feld wh equll sped sgnlzed ges S senes wh wo e lnes wee used o es he lgohm fo hee-lne snnes. The s senes wee pued n wo flgh lnes 3 pe flgh lne wh lmos 1% ovelp, nd 6% sdelp. GPS obsevons he eposue sons wee ulzed n he djusmen. The esuls e shown n Tble 3. The onfguon fo pnom lne snne mge s shown n Fgue 7. gn, GPS obsevons he eposue sons wee ulzed n he djusmen. The esuls e shown n Tble 4. Imge Imge 3 Imge 1 Imge 4 Fgue 7: Lou of fou pnom lne snne senes wh seven e lnes. Inenonl hves of Phoogmme nd Remoe Sensng. Vol. III, P B1. msedm. 183
7 Devn Kelle The followng poessng sengs wee ppled fo ll of he smuled d ses: The heshold σ fo emnng he eon poess ws se o 1.E-7. The ppomons of he e pons wee dspled fom he ul posons b ppome vlues of 1m hozonll nd 1 m vell o vef he djusmen. FRME IMGER Whou lne feues Wh lne feues Rms [m].4.4 Rms [m] Rms z [m] Tble : Rms-vlues of he bundle djusmen of fme mge THREE-LINE SCNNERS Whou lne feues Wh lne feues Rms [m] Rms [m] Rms z [m] Tble 3:Rms-vlues of he bundle djusmen of hee-lne snnes PNRMIC LINER RR SCNNERS Whou lne feues Rms [m] Rms [m] Rms z [m] Tble 4:Rms-vlues of bundle djusmen of pnom lne snnes Wh lne feues s llused n Tble 1, he sgh-lne onsn dd no mpove he RMS vlues n he se of fme mge. Howeve, n he se of lne snne mge, hee ws noeble mpovemen. Wh lne snne mge, mn EPs e nvolved n he djusmen, nd he dded equons onsn he soluon, dng n he deemnon of he EPs. Theefoe, s dvngeous o evlue s mn mge pons long he sgh lne s possble. 5. CNCLUSINS/RECMMENDTINS new ppoh ws developed o hndle obje spe sgh lnes n lne snne mge. Beuse of he nue of lne mes, sgh lnes n obje spe m no ppe s sgh lnes n he pued sene. In he poposed onsn, obje spe lnes e defned b wo pons, whh mus be denfed n les one sene. Usng hs ehnque wh lne snne mge, one ndependen onsn equon s dded o he djusmen fo eh mge pon evlued. The dded onsn equons d n he eove of he mn eeo oenon pmees ssoed wh lne snne mge. I s heefoe dvngeous o evlue s mn mge pons long he sgh lne s possble. Ths onsn s lso vld n he se of fme mge. lso, he nopoon of hs onsn no esng bundle djusmen sofwe s sghfowd. Tesng wh smuled d poved he supeo of hs ehnque ove el ngulon wh dsonneed pons. Reommendons fo fuue wok: Moe esng wh el d. We would lke o use n vlble GIS dbse nd d olleed b eesl moble mppng ssems, e.g. od newoks, o povde onol fo el ngulon. uom eon nd mhng of lne feues fom mge. 184 Inenonl hves of Phoogmme nd Remoe Sensng. Vol. III, P B1. msedm.
8 Devn Kelle REFERENCES Hbb,., smmw,., M, M., Kelle, D., 1999, Lne Feues n Phoogmme. Depmenl Repo 45, Geode Sene nd Suveng, Depmen of Cvl nd Envonmen Engneeng nd Geode Sene, The ho Se Unves, Columbus, ho. Hbb,. 1999, el Tngulon usng Pon nd Lne Feues. uom Eon of GIS bjes fom Dgl Imge, IPRS Volume 3, p 3-W5 Munh, Sep 8-1. Hbb,., Beshh, B., 1997, Modelng Pnom Lne Snne. Depmenl Repo No. 443, Geode Sene nd Suveng, Depmen of Cvl nd Envonmen Engneeng nd Geode Sene, The ho Se Unves, Columbus, ho. Kubk, K. 1988, Relve nd bsolue enon Bsed on Lne Feues, ISPRS Jounl of Phoogmme nd Remoe Sensng, Volume 46. pp Mkhl, Edwd M., Weewong, Knok, 1994, Feue-Bsed Phoogmme bje Consuon SPRS/CSM nnul Convenon Tehnl Ppes, pp Inenonl hves of Phoogmme nd Remoe Sensng. Vol. III, P B1. msedm. 185
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