Automated Model Creation from TLS Data

Transcription

1 Faclty of Cvl Egeerg Departmet of Srveyg Slova Uversty of Techology Bratslava Atomated Model Creato from TLS Data Jaa Halčová Aloz Kopáč Marraech FIG WW May Atomated Model Creato from TLS Data Topcs Software Mathematcal Nmercal solto Applcato Aalyss - qalty Coclso Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

2 Atomated Model Creato from TLS Data 1 Software for Dfferet s TIN No-Uform Ratoal B-sple Srfaces (NURBS) Geometrcal ettes (elemets) sphere cylder cbe... Marraech FIG WW May Software for 2.2 Nmerc solto Atomated Model Creato from TLS Data Level set eqato s solve clde potetal fcto Bodary search drecto of the gradet vectors of the potetal fcto advatage of LSM - smply way to chage the bodary topology Broad applcato the feld of atral sceces (maths physc bology...) ad compter graphcs Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

3 . Atomated Model Creato from TLS Data 1 Software for Cosst from 2 partal dfferetal eqatos The frst partal dfferetal eqato s the Eoal eqato whch solve the dstace fcto d t d = 1 d ( x t) = 0 x Ω 0 Ω where d dstace fcto Ω 0 set of measred pots Ω measrg (worg) space x pot of the srface Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for The secod dferetal eqato s the level set eqato t g = 0 where s the calclated level set fcto g s eqall to the dstace fcto d Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

4 Atomated Model Creato from TLS Data 1 Software for The mercal solto of LSM cosst from 3 steps: To solve the 1. PDE search for fast algorthm for calclato of the dstace fcto (for all pots data set ad all grd pots) To fd the tal fcto To solve the 2. PDE-geerate the fal (best ft srface) from the measred data Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for Solto of the frst PDE Spacedscretzato-deftoofthegrddestyh D Italzato determes the dstaces betwee the measred pots ad the grd pots (ot chaged drg the ) Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

5 Atomated Model Creato from TLS Data 1 Software for calclato - sg the Fxg Roy Tor Scheme completed by fxato geerate each stepthedstacefctod forallgrdpots d = d τ τ max( M M ) max( M M ) max( M M 1 D D hd ) p q r 2 where M = (m( d p q r d 0)) p q rϵ {-101} p q r =1. The scheme s stable for τ D h D /2. Marraech FIG WW May ;AQ; Atomated Model Creato from TLS Data 1 Software for Forallgrdpotsx whchpostosotfxedbythetal fcto or drg the calclato s calclated the ew soltod 1 sgroy TorScheme. Whe the dfferece betwee the ew ad old solto s smaler as the reqredvale the pot wll be fxed ad ot clded to the ext solto(step). The calclato s fshed whe all pots achave the fxed stay. Marraech FIG WW May ;AQ; FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

6 Atomated Model Creato from TLS Data 1 Software for Ital data set Dstace fcto of the tal data set Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for Defto of the tal fcto two possbltes: Fcto(shape) sde the measred data set(space) Fcto(shape) otsde the measred data set(space) Bldtheflewthallgrdpotsthetalspace. Set the vale β for defto of the local bodary. Calclate the dstace fcto d of all eghbor grd pots. Grd pots whch d > β wll be clded to the fle. The procedre s stopped whe ths calclato s made for all grd pots of the tal space. Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

7 Atomated Model Creato from TLS Data 1 Software for Determato of β correct o- correct Nmercé rešee Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for Solto of the secod PDE Usg the pwd prcple cold be se the aproxmato = h max 1 τ max S x x [ max ( D g 0)( 1 ) m ( D g 0)( 1 ) S y y ( D g 0)( 1 ) m ( D g 0)( 1 ) z z ( D g 0)( ) m ( D g 0)( ) ]. 1 1 where s the tal fcto. Ths scheme s stable for τ S h S /2. Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

8 Atomated Model Creato from TLS Data 1 Software for The dffereces D x g D y g a D z g bld the vector space where the vectors geerated grd pots are oreted to the calclated srface. The calclated srface bld the bodary betwee the vectors of dfferet oretato. The tal fcto whch s chaged by terato the drecto of the vectors ad s stopped at the bodary. Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for Base the developed procedre was wrtte the rote (software) C: Was sed for of three dfferet obects All calclato were made wth oteboo of stadard qalty (power) Graphcal presetato of reslts was made Golde Software Voxler. Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

9 Atomated Model Creato from TLS Data 1 Software for Half cylder Vertebra Sclptre Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for Half cylder Geomagc Stdo LSM No pots : 356 h D =h S = 0.1 mm τ S = τ D = h D /2 No elemets Ω: X = 120 Y = 80 Z = 60. Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

10 Atomated Model Creato from TLS Data 1 Software for Ital fcto - otsde LSM after 300 teratos Ital fcto - sde Marraech FIG WW May 2011 LSM after 300 teratos 19 Atomated Model Creato from TLS Data 1 Software for Sectos Sectos Marraech FIG WW May teratos 300 teratos 400 teratos 20 FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

11 Atomated Model Creato from TLS Data 1 Software for Model of vertebra Photogrammetrc Geomagc Stdo Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for LSM No pots: 746 h D = h S = 1 mm τ S = τ D = h D /2 No elemets Ω: X = 100 Y = 70 Z = 95. -the tal fcto determed otsde for β=0.9 - after 20 ad 300 teratos Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

12 1 Software for Atomated Model Creato from TLS Data -tal fcto otsde for β= after 10 ad 20 teratos - tal fcto sde - after ad 800 teratos Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for Aomala of the vector space Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

13 Atomated Model Creato from TLS Data 1 Software for Seer Comet Stebechler hstota bodov redovaá a 3 mm a 2 mm Pre hstot bodov 3 mm veľosť mrežy 0.5 mm Modely vytvoreé v Geomagc Stdo a vytvoreý aším programom Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for Pre hstot bodov 2 mm veľosť mrežy 0.4 mm Modely vytvoreé v Geomagc Stdo a vytvoreý aším programom Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

14 Atomated Model Creato from TLS Data 1 Software for Sclptre Geomagc Stdo Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for LSM h D =h S = 0.5 mm τ S = τ D = h D /2 No elemets Ω: X = 70 Y = 55 Z = 150. Measred data Ital fcto -bloc Ital fcto copy of meas. data Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

15 Atomated Model Creato from TLS Data 1 Software for LSM after 400 terato bloc tal fcto (otsde) Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for LSM after 400 teratos tal fcto copy of data Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

16 Atomated Model Creato from TLS Data 1 Software for Odhad vo vútr obet a sochy po 100 a 900 terácách Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for The accracy ad qalty s fleced by two factors: The accracy of the dstace fcto The grd desty h D Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

17 Atomated Model Creato from TLS Data 1 Software for The accracy of the dstace fcto σ = εε Measred pot desty [mm] h D [mm] σ [mm] 3 mm mm mm mm Correlato betwee the measred pot desty grd sze h D ad the accracy of the dstace fcto s gve. Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for Dstace fcto for dfferet grd sze Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

18 Atomated Model Creato from TLS Data 1 Software for Voľba parametra h D Voľba parametra h D Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for 2.5 Nový matematcý Accordg the aalyss made was the secod PDE completed by the crvatre of the calclated srface the actally pot. Ths wll resltg more smoothed srface. t g g = 0 The completed sheme s o more so stable so s mportat to defe τ S wth respect. I or case was sed τ S =h S2 /4 whch geerete the eed of hgher mber of teratos. Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

19 FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May [ ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ] [ ( ) ( ) ( ) ( ) ( ) ] ( ) ( ) ( ) / m 0 max 0 m 0 max 0 m 0 max z y x yz z y xz z x xy y x zz y x yy z x xx z y S z z y y x x S S g D g D g D g D g D g D h = ε ε ε ε τ δ τ The ew completed formla for the calclato of srface pots: δwll be from 0 to 1 ad defe the srface smoothg. Atomated Model Creato from TLS Data Marraech FIG WW May Software for 38 Sclptre LSM for δ=0.00 ad δ=0.25 after 300 terato Atomated Model Creato from TLS Data Marraech FIG WW May Software for

20 Atomated Model Creato from TLS Data 1 Software for Cylder LSM for δ a0.10 after 3000 teratos Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for I case of srfaces (s) whch edges cold be set bodary vales for δ whe ths wll be set eq. 0. The procedre s applcated two steps frst whtot calclato of δ ad secod step wth applcato of parameter δ. Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

21 Atomated Model Creato from TLS Data 1 Software for 400 teratos whtot δ ad 100 teratos wth δ -bodary vale δ=015 (ext slde). Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for Applcato o TLS data sets Pot desty 5 cm Pot desty 3 cm Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

22 Atomated Model Creato from TLS Data 1 Software for Marraech FIG WW May Atomated Model Creato from TLS Data 1 Software for Atomated Hgh varablty Possblty to se for dfferet data sets Uversal for all type of obects (srfaces) Graphcal terpretato possble dfferet software Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

23 FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May

24 Atomated Model Creato from TLS Data Tha yo for yor atteto! Marraech FIG WW May FIG Worg Wee 2011 Brdgg the Gap betwee Cltres Marraech Morocco May