Results 1 to 10 of about 14,552 (202)
Lines of principal curvature on canal surfaces in R³ [PDF]
Anais da Academia Brasileira de Ciências, 2006 In this paper are determined the principal curvatures and principal curvature lines on canal surfaces which are the envelopes of families of spheres with variable radius and centers moving along a closed regular curve in R³.
Garcia Ronaldo +2 more
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On the patterns of principal curvature lines around a curve of umbilic points [PDF]
Anais da Academia Brasileira de Ciências, 2005 In this paper is studied the behavior of principal curvature lines near a curve of umbilic points of a smooth surface.Neste trabalho estuda-se o comportamento das linhas de curvatura principal próximas a uma curva de pontos umbílicos, numa superfície ...
Ronaldo Garcia, Jorge Sotomayor
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Umbilic and Tangential Singularities on Configurations of Principal Curvature Lines [PDF]
Anais da Academia Brasileira de Ciências, 2002 In this paper is studied the relationship between quadratic tangencies of principal lines with the boundary of a surface and the Darbouxian umbilics of a smooth boundaryless surface which approximates it through the process of thickening and smoothing ...
RONALDO GARCIA, JORGE SOTOMAYOR
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Defining female gluteal geometry for preoperative planning in body contouring [PDF]
JPRAS OpenIntroduction: The increasing prevalence of procedures aimed at modifying the female body silhouette—particularly gluteoplasty, liposuction, and the Brazilian butt lift (BBL)—highlights the need for a sufficient number of reference points and lines to ...
Edoardo Raposio, Elisa Bertulla
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Geometry and construction. Theory of principal curvature lines in stone stereotomy
Disegnare con, 2012 The paper illustrates the theoretical and practical study of the theory of curvature lines elaborated by Gaspard Monge at the end of the eighteenth century, and its application to the construction of cut stone architecture, with particular reference to ...
Federico Fallavollita, Marta Salvatore
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Principal Lines on Surfaces Immersed With Constant Mean Curvature [PDF]
Transactions of the American Mathematical Society, 1986 Configurations of lines of principal curvature on constant mean curvature immersed surfaces are studied. Analytical models for these configurations near general isolated umbilical points and particular types of ends are found. From the existence of transversal invariant measures for the foliations by principal lines, established here, follows that the ...
J Sotomayor
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Lines of principal curvature around umbilics and Whitney umbrellas
Tohoku Mathematical Journal, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Garcia +2 more
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Lines of Affine Principal Curvatures of Surfaces in 3-Space [PDF]
Results in Mathematics, 2020 The authors study the principal lines in the context of affine differential geometry of surfaces immersed in 3-space. They consider the binary differential equation of the affine curvature lines and obtain topological models of these curves near the affine umbilic points (elliptic and hyperbolic).
M. Barajas, M. Craizer, R. Garcia
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Surface Pencil Couple with Bertrand Couple as Joint Principal Curves in Galilean 3-Space
Axioms, 2023 A principal curve on a surface plays a paramount role in reasonable implementations. A curve on a surface is a principal curve if its tangents are principal directions.
Nadia Alluhaibi, Rashad A. Abdel-Baky
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A Digital Image-Based Phenotyping Platform for Analyzing Root Shape Attributes in Carrot
Frontiers in Plant Science, 2021 Root shape in carrot (Daucus carota subsp. sativus), which ranges from long and tapered to short and blunt, has been used for at least several centuries to classify carrot cultivars.
Scott H. Brainard +4 more
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