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Original Articles

An Assessment of the Fit of a Parabolic Curve to Pre- and Post-Treatment Dental Arches

, Ph.D., F.D.S.R.C.S. & , M.Sc., F.D.S.R.C.S.
Pages 85-93 | Received 01 Apr 1988, Published online: 21 Jun 2016

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Read on this site (6)

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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A.R. Biknevicius, B. Van Valkenburgh & J. Walker. (1996) Incisor size and shape: implications for feeding behaviors in saber-toothed “cats”. Journal of Vertebrate Paleontology 16:3, pages 510-521.
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Joanna M. Battagel. (1996) The Assessment of Crowding Without the Need to Record Arch Perimeter. Part I: Arches With Acceptable Alignment. British Journal of Orthodontics 23:2, pages 137-144.
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Jeremy Knox, Malcolm Jones & Peter Durning. (1993) An Ideal Preformed Archwire?. British Journal of Orthodontics 20:1, pages 65-70.
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Kaiyu Fu, Shu Fang, Xiangfei Fan, Chunli Liu, Chunxiang Zhang, Jing Liu & Danna Xiao. (2021) Analysis of dental and basal bone arch form correlations in skeletal Class Ⅱ malocclusion. American Journal of Orthodontics and Dentofacial Orthopedics 159:2, pages 202-209.e2.
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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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Sung-Hun Kim, You-Min Kim, Sewoong Oh, Seong-Sik Kim, Soo-Byung Park, Woo-Sung Son & Yong-Il Kim. (2017) How far is the root apex of a unilateral impacted canine from the root apices’ arch form?. American Journal of Orthodontics and Dentofacial Orthopedics 151:2, pages 351-356.
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Vineeth V. Thundukattil, Anil Gangadharan & Serin Sarah John. (2016) Use of Ramanujan's equation of ellipse to determine arch perimeter. American Journal of Orthodontics and Dentofacial Orthopedics 149:5, pages 592-593.
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Hywel Naish, Claire Dunbar, James Crouch-Baker, Kiran Shah, Colin Wallis, Nikki E. Atack, Martyn Sherriff, Jonathan R. Sandy & Anthony J. Ireland. (2016) Does a true knowledge of dental crowding affect orthodontic treatment decisions?. The European Journal of Orthodontics 38:1, pages 66-70.
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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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Wei Zou, JiuHui Jiang, TianMin Xu & JiaQi Wu. (2015) Relationship between mandibular dental and basal bone arch forms for severe skeletal Class III patients. American Journal of Orthodontics and Dentofacial Orthopedics 147:1, pages 37-44.
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Wei Zou, JiaQi Wu, JiuHui Jiang, TianMin Xu & CuiYing Li. (2014) Archform Comparisons between Skeletal Class II and III Malocclusions. PLoS ONE 9:6, pages e100655.
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Luca Lombardo, Lorenzo Fattori, Camilla Molinari, Davide Mirabella & Giuseppe Siciliani. (2013) Formes d’arcades dentaires et alvéolaires dans une population caucasienne comparées à des fils disponibles sur le marché. International Orthodontics 11:4, pages 389-421.
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Luca Lombardo, Lorenzo Fattori, Camilla Molinari, Davide Mirabella & Giuseppe Siciliani. (2013) Dental and alveolar arch forms in a Caucasian population compared with commercially available archwires. International Orthodontics 11:4, pages 389-421.
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Shin-Eun Nam, Ye-Hyun Kim, Young-Seok Park, Seung-Hak Baek, Kazuo Hayashi, Kyung-Nyun Kim & Seung-Pyo Lee. (2012) Three-dimensional dental model constructed from an average dental form. American Journal of Orthodontics and Dentofacial Orthopedics 141:2, pages 213-218.
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Fabiane Louly, Paulo Roberto Aranha Nouer, Guilherme Janson & Arnaldo Pinzan. (2011) Dental arch dimensions in the mixed dentition: a study of Brazilian children from 9 to 12 years of age. Journal of Applied Oral Science 19:2, pages 169-174.
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PETE E. LESTREL, EISAKU KANAZAWA & CHARLES A. WOLFE. (2011) Sexual dimorphism using elliptical Fourier analysis: shape differences in the craniofacial complex. Anthropological Science 119:3, pages 213-229.
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Jianrong Lu, Youjun Liu & Niya Tuo. (2009) The 3D Visualization of Dental Panoramic X-Ray Images. The 3D Visualization of Dental Panoramic X-Ray Images.
Antonio José Borin Neto, Rodrigo Cecanho & Helena Cristina Francisco Pereira da Silva. (2009) Desenvolvimento e comparação de um método de construção de arcos ortodônticos individualizados com um método tradicional de escolha de arcos ortodônticos pré-fabricados. Revista Dental Press de Ortodontia e Ortopedia Facial 14:2, pages 109-119.
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Hans Wellens. (2007) Applicability of mathematical curve-fitting procedures to late mixed dentition patients with crowding: A clinical-experimental evaluation. American Journal of Orthodontics and Dentofacial Orthopedics 131:2, pages 160.e17-160.e25.
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Pete E Lestrel, Osamu Takahashi & Eisaku Kanazawa. (2004) A quantitative approach for measuring crowding in the dental arch: fourier descriptors. American Journal of Orthodontics and Dentofacial Orthopedics 125:6, pages 716-725.
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Dieter Dirksen, Steffen Diederichs, Christoph Runte, Gert von Bally & Friedhelm Bollmann. (1999) Three-dimensional acquisition and visualization of dental arch features from optically digitized modelsDreidimensionale Erfassung und Visualisierung von Meßpunkten des Zahnbogens anhand optisch vermessener Modelle. Journal of Orofacial Orthopedics / Fortschritte der Kieferorthopädie 60:2, pages 152-159.
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Ellen A. BeGole, Deborah L. Fox & Cyril Sadowsky. (1998) Analysis of change in arch form with premolar expansion. American Journal of Orthodontics and Dentofacial Orthopedics 113:3, pages 307-315.
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Alan M.W. Porter. (1998) The dental arcade and human morphology. International Journal of Osteoarchaeology 8:1, pages 66-74.
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V.F. Ferrario, C. Sforza, A. MianiJrJr & G. Tartaglia. (1994) Maxillary versus mandibular arch form differences in human permanent dentition assessed by Euclidean-distance matrix analysis. Archives of Oral Biology 39:2, pages 135-139.
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Virgilio F. Ferrario, Chiarella Sforza, Alessandro MianiJr.Jr. & Gianluca Tartaglia. (2005) Human dental arch shape evaluated by Euclidean‐distance matrix analysis. American Journal of Physical Anthropology 90:4, pages 445-453.
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V.F. Ferrario, C. Sforza, A. MianiJrJr, A. Colombo & G. Tartaglia. (1992) Mathematical definition of the curve of Spee in permanent healthy dentitions in man. Archives of Oral Biology 37:9, pages 691-694.
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L.C. Richards, G.C. Townsend, T. Brown & V.B. Burgess. (1990) Dental arch morphology in South Australian twins. Archives of Oral Biology 35:12, pages 983-989.
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