Patterning of Human Dental Arch Wire Blanks Using a Vector Quantization Algorithm

Angle Orthodontist

Volumn 72, Issue 4, 2002, Pages 285-294

  Fujita, Kyoko ^a   Takada, Kenji ^b   QianRong, Gu ^c   Shibata, Tadashi ^c  

^a OSAKA UNIVERSITY DENTAL HOSPITAL   (Japan)

^b OSAKA UNIVERSITY   (Japan)

^c UNIVERSITY OF TOKYO   (Japan)

Author keywords

Arch wire; Dental arch; Generalized Lloyd algorithm; Occlusion; Vector quantization

Indexed keywords

ADULT; ALGORITHM; ARTICLE; BIOLOGICAL MODEL; CANINE TOOTH; CEPHALOMETRY; DENTAL CARE; HISTOLOGY; HUMAN; IMAGE PROCESSING; INCISOR; LASER; METHODOLOGY; MOLAR TOOTH; NONPARAMETRIC TEST; ORTHODONTIC DEVICE; ORTHODONTICS; PREMOLAR TOOTH; STEREOTAXIC SURGERY; TOOTH ARCH; TOOTH CROWN; TOOTH OCCLUSION;

ADULT; ALGORITHMS; BICUSPID; CEPHALOMETRY; CUSPID; DENTAL ARCH; DENTAL MODELS; DENTAL OCCLUSION; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; INCISOR; LASERS; MODELS, BIOLOGICAL; MOLAR; ORTHODONTIC APPLIANCE DESIGN; ORTHODONTIC WIRES; STATISTICS, NONPARAMETRIC; STEREOTAXIC TECHNIQUES; TOOTH CROWN;

EID: 0036688264     PISSN: 00033219     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. Andrews LF. Composites. I: Straight-Wire, the Concept and Appliance. San Diego, Calif: L. A. Wells; 1989:13-33.
2. Angle EH. Classification of malocclusion. Dent Cosmos. 1899; 41:248-264.
3. Currier JH. A computerized geometric analysis of human dental arch form. Am J Orthod. 1969;56:164-179.
4. MacConail MA, Scher EA. Ideal form of the human dental arcade with some prosthetic applications. J Dent Res. 1949;69:285-302.
5. Sampton PD. Dental arch shape: a statistical analysis using conic sections. Am J Orthod. 1981;79:535-548.
6. Biggerstaff RH. Three variations in dental arch form estimated by a quadratic equation. J Dent Res. 1972;51:1509.
7. BeGole EA. Application of the cubic spline function in the description of dental arch form. J Dent Res. 1980;59:1549-1556.
8. Barun S, Hnat WP, Fender DE, Legan HL. The form of the human dental arch. Angle Orthod. 1998;68:29-35.
9. Uzuka S, Arai K, Ishikawa H. Polynomial curve superimpositions on dental arch forms with normal occlusions. Orthod Waves. [in Japanese] 2000;59:32-42.
10. Kuroda T, Motohashi N, Tominaga R, Iwata K. Three-dimensional dental cast analyzing system using laser scanning. Am J Orthod Dentofac Orthop. 1996;110:365-369.
11. Hirogaki Y, Sohmura T, Takahashi J, Noro T, Takada K. Construction of 3D shape of orthodontic dental casts measured from two directions. Dent Mater J. 1998;17:115-124.
12. Chang PC, Gray RM. Gradient algorithms for designing predictive vector quantizers. IEEE Trans Acoust Speech Signal Process. 1986;34:679-690.
13. Linde Y, Buzo A, Gray RM. An algorithm for vector quantizer design. IEEE Trans Commun. 1980;28:84-95.
14. Ballard CF, Wayman JB. A report on a survey of the orthodontic requirements of 310 army apprentices. Trans Br Soc Study Orthod. 1964;81-86.
15. Lu KH. An orthogonal analysis of the form symmetry and asymmetry of the dental arch. Arch Oral Biol. 1966;11:1057-1069.
16. Proffit WR. Equilibrium theory revisited. Angle Orthod. 1978;48: 175-186.
17. Toyoura H. A study on the Japanese tongues: their weight and size. Hokuetsu Medical J. [in Japanese] 1934;49:1808-1812.
18. Hopkin GB. Neonatal adult tongue dimensions. Angle Orthod. 1967;37:132-133.
19. Cohen AM, Vig S. A serial growth study of the tongue and intermaxillary space. Angle Orthod. 1976;46:332-337.
20. Weinstein S, Haack DC, Morris LY, Snyder BB, Attaway HE. On an equilibrium theory of tooth positions. Angle Orthod. 1963;33: 1-26.
21. Oda Y. Mandibular apical base form and arrangement of the teeth: mathematical modeling and canonical correlations. J Osaka Univ Dent Soc. [in Japanese] 1988;33:145-167.