Results 221 to 230 of about 118,308 (264)
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Stabilizing Role of a Curvature Correction to Line Tension
SIAM Journal on Applied Mathematics, 2008We study the effects that a curvature correction to the line tension has on the equilibrium and stability of liquid droplets laid upon a rigid substrate. In the simple case of cylindric liquid bridges we prove that even a tiny curvature correction prevents the onset of wildly oscillating perturbations that would make the contact line unstable if a ...
Marco Verani, Riccardo Rosso
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A generalization of surface family with common line of curvature
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chun-Gang Zhu, Ren-Hong Wang
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Local reparametrization by approximating lines of curvature
Mathematics and Computers in Simulation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On integrating lines of curvature
Computer Aided Geometric Design, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Umbilics and lines of curvature for shape interrogation
Computer Aided Geometric Design, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Takashi Maekawa +2 more
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Computing lines of curvature for implicit surfaces
Computer Aided Geometric Design, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaopeng Zhang 0001 +2 more
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Umbilics and Lines of Curvature
2009An umbilic is a point on a surface where all normal curvatures are equal in all directions, and hence principal directions are indeterminate. Thus the orthogonal net of lines of curvature, which is described in Sect. 3.4, becomes singular at an umbilic. An obvious example of a surface consisting entirely of umbilical points is the sphere.
Nicholas M. Patrikalakis +1 more
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Lines of Curvature for Polyp Detection in Virtual Colonoscopy
IEEE Transactions on Visualization and Computer Graphics, 2006Computer-aided diagnosis (CAD) is a helpful addition to laborious visual inspection for preselection of suspected colonic polyps in virtual colonoscopy. Most of the previous work on automatic polyp detection makes use of indicators based on the scalar curvature of the colon wall and can result in many false-positive detections. Our work tries to reduce
Zhao, Lingxiao +5 more
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2011
In this section, I will discuss lines of curvature. A curve x(t) is said to be a line of curvature if $$\frac{\mathrm{d}\mathbf{x}(t)} {\mathrm{d}t} = \mathbf{v}(t)\text{, where}$$ (10.1)
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In this section, I will discuss lines of curvature. A curve x(t) is said to be a line of curvature if $$\frac{\mathrm{d}\mathbf{x}(t)} {\mathrm{d}t} = \mathbf{v}(t)\text{, where}$$ (10.1)
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2001
Theory of surface foliations grew from the classical problems of differential geometry. By the end of the 19th century due to the works of Cayley, Darboux and Picard an important class of foliations given by the lines of principal curvature was singled out.
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Theory of surface foliations grew from the classical problems of differential geometry. By the end of the 19th century due to the works of Cayley, Darboux and Picard an important class of foliations given by the lines of principal curvature was singled out.
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