scholarly journals Geometric characterizations of canal surfaces with Frenet center curves

2021 ◽  
Vol 6 (9) ◽  
pp. 9476-9490
Author(s):  
Jinhua Qian ◽  
◽  
Jie Liu ◽  
Xueshan Fu ◽  
Seoung Dal Jung ◽  
...  
Keyword(s):  
Canal Surfaces

Blending Cylinders and Cones using Canal Surfaces

2000 ◽  
Vol 5 ◽  
pp. 77-89 ◽  
Author(s):  
M. Kazakevičiūtė ◽  
R. Krasauskas
Keyword(s):  
Canal Surface ◽  
Variable Radius ◽  
Rolling Ball ◽  
Canal Surfaces ◽  
Rational Parameterization

There is reviewed the construction of a rational blending surface between cylinders and cones in some interlocation cases. This surface is constructed as a patch of rolling ball envelope, i.e. as a patch of tangent canal surface of rational-variable radius. This construction defines rational parameterization of a blending surface. The constructed surface is Laguerre invariant.

Computing the Distance between Canal Surfaces

2010 ◽  
pp. 88-103 ◽  
Author(s):  
Yanpeng Ma ◽  
Changhe Tu ◽  
Wenping Wang
Keyword(s):  
Canal Surfaces

On the intersection with revolution and canal surfaces

2006 ◽  
pp. 169-183 ◽  
Author(s):  
Mario Fioravanti ◽  
Laureano Gonzalez–Vega ◽  
Ioana Necula
Keyword(s):  
Canal Surfaces

Application of spaces of subspheres to conformal invariants of curves and canal surfaces

2013 ◽  
Vol 108 (2) ◽  
pp. 109-131
Author(s):  
Rémi Langevin ◽  
Jun O'Hara ◽  
Shigehiro Sakata
Keyword(s):  
Conformal Invariants ◽  
Canal Surfaces

scholarly journals The new study of some characterization of canal surfaces with Weingarten and linear Weingarten types according to Bishop frame

2019 ◽  
Vol 27 (1) ◽  
Author(s):  
M. A. Soliman ◽  
W. M. Mahmoud ◽  
E. M. Solouma ◽  
M. Bary
Keyword(s):  
Bishop Frame ◽  
Canal Surfaces

scholarly journals Symmetries of canal surfaces and Dupin cyclides

2018 ◽  
Vol 59 ◽  
pp. 68-85
Author(s):  
Juan Gerardo Alcázar ◽  
Heidi E. I. Dahl ◽  
Georg Muntingh
Keyword(s):  
Canal Surfaces ◽  
Dupin Cyclides

scholarly journals Micro-CT Evaluation of Non-instrumented Canal Areas with Different Enlargements Performed by NiTi Systems

2015 ◽  
Vol 26 (6) ◽  
pp. 624-629 ◽  
Author(s):  
Gustavo De-Deus ◽  
Felipe Gonçalves Belladonna ◽  
Emmanuel João Nogueira Leal Silva ◽  
Juliana Roter Marins ◽  
Erick Miranda Souza ◽  
...  
Keyword(s):  
Surface Area ◽  
Root Canal ◽  
Repeated Measures ◽  
Significance Level ◽  
Isotropic Resolution ◽  
Computed Tomographic ◽  
Mandibular Molars ◽  
Canal Surfaces ◽  
Before And After ◽  
Ct Evaluation

The aim of this study was to compare the percentage of non-instrumented area of root canals prepared with different enlargements using single-file reciprocating systems (Reciproc and WaveOne) and a conventional multi-file rotary (BioRaCe) system by micro-computed tomographic analysis. Thirty mesial roots of mandibular molars with moderate curvature (10° to 20°) presenting a type II Vertucci canal configuration and similar internal volume were chosen and scanned at an isotropic resolution of 14.16 µm. The sample was assigned to 3 groups (n=10) according to the system used for root canal preparation: Reciproc, WaveOne, and BioRaCe groups. Second and third scans were taken after the canals were prepared with instruments sizes 25 and 40, respectively. The recorded images of the surface area voxels of the canals, before and after preparation were examined from the furcation level to the apex to quantify the non-instrumented surface. Statistical data were compared using GLM for repeated-measures with a significance level set at 5%. Instrumentation systems did not influence the percentage of untouched root canal surfaces (p=0.690) whilst a significant reduction in the percentage of static voxels was observed after the enlargement of the root canal (p=0.010) in all groups (p=0.507). None of the systems was able to prepare the entire surface area of the mesial root canal of mandibular molars. The increased final apical size resulted in a significant positive effect on the shaping ability of the tested systems.

scholarly journals Analytic and algebraic properties of canal surfaces

2006 ◽  
Vol 195 (1-2) ◽  
pp. 220-228 ◽  
Author(s):  
Zhiqiang Xu ◽  
Renzhong Feng ◽  
Jia-guang Sun
Keyword(s):  
Canal Surfaces ◽  
Algebraic Properties

Special canal surfaces of $$\mathbb{S}^3$$

2011 ◽  
Vol 42 (2) ◽  
pp. 301-320 ◽  
Author(s):  
Adam Bartoszek ◽  
Rémi Langevin ◽  
Paweł G. Walczak
Keyword(s):  
Canal Surfaces

scholarly journals The geometry of canal surfaces and the length of curves in de Sitter space

2011 ◽  
Vol 11 (4) ◽  
Author(s):  
Rémi Langevin ◽  
Gil Solanes
Keyword(s):  
De Sitter Space ◽  
De Sitter ◽  
Canal Surfaces
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