Sažetak
Apstrakt
Uvod/Cilj. Istraživači u oblasti stomatologije, posebno kliničari, već dugo se bave istraživanjima koja se odnose na modeliranje i definisanje oblika i parametara zubnog luka. Danas, kada je 3D digitalno modeliranje postalo uobičajena praksa u stomatologiji, promenio se i prilaz modeliranju, analizi i sintezi u ortodonciji. Klinička istraživanja oblika zubnog luka direktno se odnose na estetsku i funkcionalnu analizu zubnog niza (nivelacija, okluzija, zagrižaj). Cilj rada bio je da se poveća ponovljivost i preciznost definisanja i određivanja koordinatnog sistema vilice i definišu matematički kriterijumi za praćenje i ocenjivanje ortodontske terapije. Metode. U radu su koršćeni gipsani modeli vilice, optički skener sa strukturisanom svetlošću, 3D digitalni modeli vilice i Computer Aided Design (CAD) i inženjerski alati. Sprovedeno je podešavanje koordinatnog sistema i fitovanje splajnova trećeg, četvrtog, petog, šestog, sedmog i osmog stepena. Rezultati. Splajnovi (trećeg, četvrtog, petog, šestog, sedmog i osmog stepena) fitovani su u odnosu na početno stanje (K0), za svih 10 uzastopnih kolona (K1, K2, K3,... K10). Svi splajnovi su fitovani u 12 tačaka, sa leve i desne strane vilice: 6-5-4-3-2-1-1-2-3-4-5-6. Dat je tabelarni i grafički prikaz maksimalnih i prosečnih odstupanja fitovanih krivih linija dentalnog luka u sukcesivnim kontrolama. Zaključak. Parametri maksimalne i prosečne greške fitovanja krivih linija dentalnog luka konvergiraju vrednostima koje su manje od tačnosti korišćenih optičkih skenera. Prosečna greška fitovanja daje opštu sliku celokupnog dentalnog luka u svakoj od faza terapije. Maksimalna greška fitovanja ukazuje na tačno određeni zub gde su odstupanja najveća.
Ključne reči
zubni luk
malokluzija
ortodontski aparati, dizajn
Reference
REFERENCES
Majstorović N. Monitoring of teeth nivelation based on 3D digital models. [dissertation]. Belgrade: University of Belgrade, Faculty of Dentistry; 2016. (Serbian)
Majstorović N, Živković S, Glišić B. The advanced model defini-tion and analysis of orthodontic parameters on 3D digital models. Srp Arh Celok Lek 2017; 145(1–2): 49–57.
Ball RL, Miner RM, Will LA, Arai K. Comparison of dental and apical base arch forms in Class II Division 1 and Class I malocclusions. Am J Orthod Dentofacial Orthop 2010; 138(1): 41–50.
Andrews LF, Andrews WA. The six elements of orofacial har-mony. Andrews J 2000; 1(1): 13–22.
Zilberman O, Huggare J, Parikakis K. Evaluation of the Validity of Tooth Size and Arch Width Measurements Using Conven-tional and Three-dimensional Virtual Orthodontic Models. Angle Orthod 2008; 73(3): 301–6.
Adaškevičius R, Vasiliauskas A. Evaluation of Dental Arch Form Using 3D Dental Cast Scanning Technology. JEEE Med Technol 2009; 93(5): 99–103.
Park KH, Bayome M, Park JH, Lee JW, Baek SH, Kook YA. New classification of lingual arch form in normal occlusion using three dimensional virtual models. Korean J Orthod 2015; 45(2): 74–81.
Slaj M, Spalj S, Jelusic D, Slaj M. Discriminant factor analysis of dental arch dimensions with 3-dimensional virtual models. Am J Orthod Dentofacial Orthop 2011; 140(5): 680–7.
Park TJ, Lee SH, Lee KS. A method for mandibular dental arch superimposition using 3D cone beam CT and orthodontic 3D digital model. Korean J Orthod 2012; 42(4): 169–81.
Ender A, Mehl A. Accuracy of complete-arch dental impres-sions: a new method of measuring trueness and precision. J Prosthet Dent 2013; 109(2): 121–8.
Burns A, Dowling AH, Garvey TM, Fleming GJ. The reliability of Little's Irregularity Index for the upper dental arch using three dimensional (3D) digital models. J Dent 2014; 42(10): 1320–6.
Kook YA, Bayome M, Park SB, Cha BK, Lee YW, Baek SH. Overjet at the anterior and posterior segments: three-dimensional analysis of arch coordination. Angle Orthod 2009; 79(3): 495–501.
AlHarbi S, Alkofide EA, AlMadi A. Mathematical analyses of dental arch curvature in normal occlusion. Angle Orthod 2008; 78(2): 281–7.
Noroozi H, Nik TH, Saeeda R. The dental arch form revisited. Angle Orthod 2001; 71(5): 386–9.
Muhamad A, Nezar W, Azzaldeen A. The curve of dental arch in normal occlusion. Open Sci j Clin Med 2015; 3(2): 47–54.
Pokhariyal G. Humans dental arch shapes. GJMR J Dent Oto-laryngol 2015; 15(4): 1–4.
Zhang Y, Jun G, Gang J, Lian S. Motion control point optimization of dental arch generator, Int J Service Sci Technol 2013; 6(5): 49–56.
The American Board of Orthodontics (ABO) Digital Model Requirements, Original Release. 04.23.2013. Available from: https://www.americanboardortho.com/ media/1157/abo-digital-model-requirements.pdf, [accessed 2016September 22].
Živković S. Coordinate metrology in manufacturing of the complex spatial forms with applications to the aerodynamic surfaces (in Serbian), monographic series: Scientific-technical information. Belgrade: Military Technical Institute; 2014. (Serbian)
Gavin H. The Levenberg-Marquardt method for nonlinear least squares curve-fitting problems. Durham: Department of Civil and Environmental Engineering, Duke University; 2016.
ATOS 2016 Manuel for user. Available from:
http://www.gom.com/metrology-systems/atos/atos-triple-
scan.html [accessed July 2016].
Siemens PLM NX10 documentation. Available from: https://docs.plm.automation.siemens.com/ tdoc/nx/10.0.3/nx_help/#uid:index [accessed July 2016].
Majstorović N, Čerče L, Kramar D, Soković M, Glišić B, Majstorović V, et al. Examination of Scanner Precision by Analysing Or-thodontic Parameters. Balk J Dent Med 2017; 21(1): 32–43.
Engineering Modeling of Orthodontics NAtive Geometry (EMONA-G), Common European Research Classification Scheme (CERIF) code: B730; Bilateral Scientific and Techno-logical Cooperation Slovenia-Serbia 2016-2017. Belgrade: Ministry of Education, Science and Technological Development of Republic of Serbia; 2017. Available from:
http://www.mpn.gov.rs/odobreni-projekti-sa-slovenijom-
za-period-2016-2017/