Results 231 to 240 of about 4,762 (252)
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Geodesic Distance-weighted Shape Vector Image Diffusion
IEEE Transactions on Visualization and Computer Graphics, 2008This paper presents a novel and efficient surface matching and visualization framework through the geodesic distance-weighted shape vector image diffusion. Based on conformal geometry, our approach can uniquely map a 3D surface to a canonical rectangular domain and encode the shape characteristics (e.g., mean curvatures and conformal factors) of the ...
Hong Qin, David Xianfeng Gu, Jing Hua
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A totally geodesic property of Hopf vector fields
Acta Mathematica Hungarica, 2003We prove that the Hopf vector field is unique among geodesic unit vector fields on spheres such that the submanifold generated by the field is totally geodesic in the unit tangent bundle with Sasaki metric. As an application, we give a new proof of stability (instability) of the Hopf vector field with respect to volume variation using standard approach
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Geodesic Vectors and Flat Totally Geodesic Subalgebras in Nilpotent Metric Lie Algebras
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Abayechi, A., Figula, Á.
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On geodesibility of algebrizable planar vector fields
Boletín de la Sociedad Matemática Mexicana, 2017The authors consider an algebra \(\mathbb{A}\) as the space \(\mathbb{R}^2\) endowed with a structure of associative, commutative algebra with unit, denoted by \(e\). Three parametric families of non-isomorphic algebras are considered, in particular the algebra of the complex numbers \(\mathbb{C}\) appears. A vector field \(F : \Omega \subset \mathbb{R}
M. E. Frías-Armenta +1 more
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Gradient vector flow fast geodesic active contours
Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001, 2002This paper proposes a new front propagation flow for boundary extraction. The proposed framework is inspired by the geodesic active contour model and leads to a paradigm that is relatively free from the initial curve position. Towards this end, it makes use of a recently introduced external boundary force, the gradient vector field that refers to a ...
Nikos Paragios +2 more
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Geodesics and Parallelism of Vectors
2016The shortest distance between two points located on a surface of the Riemann space E N is related to a curve of stationary value, which equation is obtained by means of the variational calculus. This curve is called geodesic. The checking of the existence of this type of curve is carried out from the basic concepts of the elementary geometry.
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Geodesic mappings of spaces with φ(Ric) vector fields
AIP Conference Proceedings, 2020The paper treats a special type of pseudo-Riemannian spaces, namely those which permit φ(Ric)-vector fields. These spaces are widely applied in mechanics and relativity theory. Authors demonstrated a shape taken by a linear form of basic equations of theory of geodesic mappings for the above-mentioned spaces. These equations take a shape of a system of
Y. Vashpanov, O. Olshevska, O. Lesechko
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Curved Phenine Normal Vectors: Geometric Measures of Geodesic Phenine Frameworks
Chemistry – An Asian Journal, 2020AbstractA vector was introduced to quantitatively describe the pyramidalization of 1,3,5‐trisubstituted benzene (phenine). The vector, named curved phenine normal vector (CPNV), defined the direction of pyramidalization of the trigonal phenine panel and quantified the degree of pyramidalization. The relative orientation of the two CPNVs further defined
Tatsuru Mio +2 more
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On geodesible vector fields and related geometric structures [PDF]
, 2023 A nowhere vanishing vector field X on a manifold M is called geodesible if there exists a Riemannian metric on M for which X is of unit length and such that the orbits of X are geodesics. After discussing some examples of such vector fields, we extend an existence result of Gluck and Hajduk--Walczak about geodesible vector fields on odd-dimensional ...
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Geodesibility of algebrizable three-dimensional vector fields
Abstract. For each algebrizable three-dimensional vector field F, in this paper we give local rectifications Hα of F, which let us to show that F is geodesible with respect to the Riemannian metric g. Furthermore, an orthonormal frame {E1,E2,E3} for g, where Ei = eiF and {e1,e2,e3} is the canonical basis of R3.Julio Cesar Avila +2 more
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