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Original Articles

Individualized Catenary Curves: Their Relationship to Arch Form and Perimeter

, Ph.D., B.D.S., M.Orth., L.D.S.R.C.S.(Eng.)
Pages 21-28 | Accepted 01 Nov 1994, Published online: 21 Jun 2016

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (2)

Nadia Basim Al-Ansari, Suha Ali Abdul Ameer & Mohammed Nahidh. (2019) A New Method for Prediction of Dental Arch Perimeter. Clinical, Cosmetic and Investigational Dentistry 11, pages 393-397.
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Johan Lim, Sungim Lee, Heon-Jin Park, Kyeong Eun Lee & Shin-Jae Lee. (2014) Bootstrap method to evaluate tightness of clusters with application to the Korean standard occlusion study. Journal of Statistical Computation and Simulation 84:2, pages 360-372.
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Articles from other publishers (18)

Munther A. Ali & Yassir A. Yassir. (2022) Mandibular Clinical Arch Forms in Iraqi Population: A National Survey. Diagnostics 12:10, pages 2352.
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Gowri Sankar Singaraju, Yamini Priyanka JS, Prasad Mandava, Vivek Reddy Ganugapanta, Naga Ravi Teja & Praveen Reddy JN. (2020) Data Set For Computation Of Maxillary Arch Perimeter With Ramanujan's Equation For Ellipse In Different Skeletal Malocclusions.. Data in Brief 32, pages 106079.
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Sahar HaddadpourSaeed Reza MotamedianMohammad BehnazSohrab AsefiAlireza Akbarzadeh BaghebanAmir Hossein AbdiMahtab Nouri. (2019) Agreement of the clinician's choice of archwire selection on conventional and virtual models. The Angle Orthodontist 89:4, pages 597-604.
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Alexandros Papagiannis & Demetrios J. Halazonetis. (2016) Shape variation and covariation of upper and lower dental arches of an orthodontic population. The European Journal of Orthodontics 38:2, pages 202-211.
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Abdullah M. Aldrees, Abdulmajeed M. Al-Shujaa, Mohammad A. Alqahtani & Ali S. Aljhani. (2015) Is arch form influenced by sagittal molar relationship or Bolton tooth-size discrepancy?. BMC Oral Health 15:1.
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David D. Chung & Richard Wolfgramm. (2015) Maxillary arch perimeter prediction using Ramanujan's equation for the ellipse. American Journal of Orthodontics and Dentofacial Orthopedics 147:2, pages 235-241.
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Kyung Hee ParkMohamed BayomeJae Hyun ParkJeong Woo LeeSeung-Hak BaekYoon-Ah Kook. (2015) New classification of lingual arch form in normal occlusion using three dimensional virtual models. The Korean Journal of Orthodontics 45:2, pages 74.
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Jin‐Gang Jiang & Yong‐De Zhang. (2012) Motion planning and synchronized control of the dental arch generator of the tooth‐arrangement robot. The International Journal of Medical Robotics and Computer Assisted Surgery 9:1, pages 94-102.
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Jingang Jiang, Yongde Zhang & Wenying Zhang. (2012) Collaborative Simulation and Experimentation on the Dental Arch Generator of a Multi-manipulator Tooth-arrangement Robot. International Journal of Advanced Robotic Systems 9:2, pages 43.
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Mohamed Bayome, Seong Ho Han, Jong-Hyuk Choi, Seong-Hun Kim, Seung-Hak Baek, Dong-Jae Kim & Yoon-Ah Kook. (2011) New clinical classification of dental arch form using facial axis points derived from three-dimensional models. Australasian Orthodontic Journal 27:2, pages 117-124.
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Shin-Jae Lee, Sungim Lee, Johan Lim, Heon-Jin Park & Timothy T. Wheeler. (2011) Method to classify dental arch forms. American Journal of Orthodontics and Dentofacial Orthopedics 140:1, pages 87-96.
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Kazuhito Arai & Leslie A. Will. (2011) Subjective classification and objective analysis of the mandibular dental-arch form of orthodontic patients. American Journal of Orthodontics and Dentofacial Orthopedics 139:4, pages e315-e321.
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Mohamed Bayome, Glenn T. Sameshima, Yoonji Kim, Kunihiko Nojima, Seung-Hak Baek & Yoon-Ah Kook. (2011) Comparison of arch forms between Egyptian and North American white populations. American Journal of Orthodontics and Dentofacial Orthopedics 139:3, pages e245-e252.
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Sercan Akyalcin, Aslihan Ertan Erdinc, Banu Dincer & Ram S. Nanda. (2011) Do long-term changes in relative maxillary arch width affect buccal-corridor ratios in extraction and nonextraction treatment?. American Journal of Orthodontics and Dentofacial Orthopedics 139:3, pages 356-361.
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Yong-de Zhang, Jin-gang Jiang, Pei-jun Lv & Yong Wang. (2010) Coordinated control and experimentation of the dental arch generator of the tooth-arrangement robot. The International Journal of Medical Robotics and Computer Assisted Surgery 6:4, pages 473-482.
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Benjamin R. K. LewisMelanie R. SternDerrick R. Willmot. (2008) Maxillary Anterior Tooth Size and Arch Dimensions in Unilateral Cleft Lip and Palate. The Cleft Palate-Craniofacial Journal 45:6, pages 639-646.
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Seba AlHarbi, Eman A. Alkofide & Abdulaziz AlMadi. (2008) Mathematical Analyses of Dental Arch Curvature in Normal Occlusion. The Angle Orthodontist 78:2, pages 281-287.
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Ellen A. BeGole & Cyril Sadowsky. (1999) Methodologies for evaluating long-term stability of dental relationships after orthodontic treatment. Seminars in Orthodontics 5:3, pages 142-150.
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