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A new approach to canal surface with parallel transport frame
International Journal of Geometric Methods in Modern Physics, 2017In the present study, we attend to the canal surfaces with the spine curve [Formula: see text] according to the parallel transport frame in Euclidean [Formula: see text]-space [Formula: see text]. We give an example of these surfaces and obtain some results about curvature conditions in [Formula: see text].
ÖZTÜRK, GÜNAY, KİŞİ, İLİM
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Piecewise Rational Parametrizations of Canal Surfaces
2014Canal surfaces, as envelopes of one-parameter families of spheres, correspond to curves in Minkowski space. We show that the continuity properties of a canal surface are inherited from the continuity properties of the associated curve, i.e., two curves joined with G 1 or G 2 continuity in Minkowski space correspond to two canal surfaces joined with the
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Statistical Surface Recovery: A Study on Ear Canals
2012We present a method for surface recovery in partial surface scans based on a statistical model. The framework is based on multivariate point prediction, where the distribution of the points are learned from an annotated data set. The training set consist of surfaces with dense correspondence that are Procrustes aligned.
Rasmus R. Jensen +4 more
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Slope of Water Surface in the Erie Canal
Transactions of the American Society of Civil Engineers, 1877The importance of obtaining levels of extreme accuracy in any case in which the natural flow of water in rivers or canals is concerned is obvious, hut especially where it is desired to ascertain th...
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On the parallel surfaces to canal surfaces
2021Aydın Şekerci, Gülşah +1 more
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Canal surfaces in Galilean 3-spaces
2017Summary: In this paper, we define admissible canal surfaces with isotropic radius vector in Galilean 3-spaces and we obtain their position vectors. Also we give some important results by using their Gauss and mean curvatures.
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Canal surfaces generated by special curves and quaternions
Afrika Matematika, 2023Abdussamet Caliskan
exaly
Willmore canal surfaces in Euclidean space
2011The authors give a classification of Willmore canal surfaces, that is, of surfaces that envelope a \(1\)-parameter family of spheres while extremizing the Willmore functional \(\int(H^2-K) dA\). As a key step in their classification the authors show that a Willmore canal surface is isothermic: as a consequence any Willmore canal surface has to be ...
MUSSO E., NICOLODI, Lorenzo
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New Types of Canal Surfaces in Minkowski 3-Space
Advances in Applied Clifford Algebras, 2015Ali Uçum, Uçum Ali
exaly

