Zobrazeno 1 - 10
of 584
pro vyhledávání: '"Torsion of a curve"'
Autor:
Olszak, Zbigniew
Publikováno v:
Filomat, 2015 Jan 01. 29(3), 553-561.
Externí odkaz:
https://www.jstor.org/stable/24898136
Autor:
Jorge Sotomayor, Ronaldo Garcia
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
instname
Publicacions Matemàtiques; Vol. 45, Núm. 2 (2001); p. 431-466
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname
Publicacions Matemàtiques; Vol. 45, Núm. 2 (2001); p. 431-466
Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Recercat: Dipósit de la Recerca de Catalunya
Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
In this paper we study the pairs of orthogonal foliations on oriented surfaces immersed in $\mathbb{R}^3$ whose singularities and leaves are, respectively, the umbilic points and the lines of normal mean curvature of the immersion. Along these lines
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87fdf9838ba55f1f55fdb4560f9249e0
http://hdl.handle.net/2072/379982
http://hdl.handle.net/2072/379982
Autor:
Shoichi Tsuchie
Publikováno v:
Computers & Graphics. 68:108-118
This study presents a new method for reconstructing an underlying surface from scanned data of styling design objects. Our approach is based on sweep-based modeling, in which a surface is generated by sweeping a specified section curve along a 3D spi
Publikováno v:
Computer Aided Geometric Design. 56:35-47
In biangular coordinates, a G 1 Hermite interpolation reduces to the problem of choosing appropriate functions interpolating the coordinates of the curve at its endpoints. The simplest linear equations in biangular coordinates correspond to a sectrix
Publikováno v:
ACM Transactions on Graphics. 36:1-7
We present a method for constructing almost-everywhere curvature-continuous, piecewise-quadratic curves that interpolate a list of control points and have local maxima of curvature only at the control points. Our premise is that salient features of t
Autor:
Kazuyuki Enomoto, Jin-ichi Itoh
Publikováno v:
Geometriae Dedicata. 194:131-140
The total mixed curvature of a curve in $$E^3$$ is defined as the integral of $$\sqrt{\kappa ^2+\tau ^2}$$ , where $$\kappa $$ is the curvature and $$\tau $$ is the torsion. The total mixed curvature is the length of the spherical curve defined by th
Autor:
Songting Yin, Daxiao Zheng
Publikováno v:
Journal of Geometry. 108:1085-1090
Let f be a function with certain properties and $$\gamma $$ be a closed curve with the torsion $$\tau $$ . We prove that $$\oint _{\gamma }f\tau ds=0$$ if $$\gamma $$ is a spherical curve, and conversely, if a surface makes the integral equal to zero
Autor:
Abdussamet Caliskan, Süleyman Şenyurt
Publikováno v:
Volume: 5, Issue: 1 122-136
Mathematical Sciences and Applications E-Notes
Mathematical Sciences and Applications E-Notes
In this paper, when the Frenet vectors of the partner curve of Mannheim curve are taken as the positionvectors, the curvature and the torsion of Smarandache curves are calculated. These values are expresseddepending upon the Mannheim curve. Besides,
Autor:
Emilio Acerbi, Domenico Mucci
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 153:7-34
We continue our analysis on functionals depending on the curvature of graphs of curves in high codimension Euclidean space. We deal with the “elastic” case, corresponding to a superlinear dependence on the pointwise curvature. We introduce the co
Autor:
V. D. Borisenko, S. A. Ustenko
Publikováno v:
Nauka ta progres transportu, Vol 68, Iss 2, Pp 92-100 (2017)
Purpose. Further development of the method of geometric modelling of transition curves, which are placed between rectilinear and circular sections of railway tracks and are created in localities, the relief of which causes certain restrictions on the