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HarmonicKilling vector fields
 Bull. Belg. Math. Soc. Simon Stevin
, 2002
"... In this paper we consider the harmonicity of the 1parameter group of local infinitesimal transformations associated to a vector field on a (pseudo) Riemannian manifold to study this class of vector fields, which we call harmonicKilling vector fields. ..."
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Cited by 3 (1 self)
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In this paper we consider the harmonicity of the 1parameter group of local infinitesimal transformations associated to a vector field on a (pseudo) Riemannian manifold to study this class of vector fields, which we call harmonicKilling vector fields.
Vector fields and transfers
 Manuscripta Mathematica
, 1991
"... For a smooth fibre bundle F i − → E p − → B where F is a compact manifold with or without boundary, a vertical vector field V gives rise to a transfer τV as an Smap. Our goal is to show these transfers satisfy an equation analogous to one that the index of vector fields satisfy. This equation gives ..."
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Cited by 10 (6 self)
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For a smooth fibre bundle F i − → E p − → B where F is a compact manifold with or without boundary, a vertical vector field V gives rise to a transfer τV as an Smap. Our goal is to show these transfers satisfy an equation analogous to one that the index of vector fields satisfy. This equation
Bayesian Estimation Of Motion Vector Fields
 IEEE Trans. Pattern Anal. Machine Intell
, 1992
"... This paper presents a new approach to the estimation of twodimensional motion vector fields from timevarying images. The approach is stochastic, both in its formulation and in the solution method. The formulation involves the specification of a deterministic structural model, along with stochastic ..."
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Cited by 137 (19 self)
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This paper presents a new approach to the estimation of twodimensional motion vector fields from timevarying images. The approach is stochastic, both in its formulation and in the solution method. The formulation involves the specification of a deterministic structural model, along
Design of tangent vector fields
 ACM Trans. Graph
, 2007
"... Tangent vector fields are an essential ingredient in controlling surface appearance for applications ranging from anisotropic shading to texture synthesis and nonphotorealistic rendering. To achieve a desired effect one is typically interested in smoothly varying fields that satisfy a sparse set of ..."
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Cited by 62 (4 self)
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Tangent vector fields are an essential ingredient in controlling surface appearance for applications ranging from anisotropic shading to texture synthesis and nonphotorealistic rendering. To achieve a desired effect one is typically interested in smoothly varying fields that satisfy a sparse set
(Vector) Fields of Mathematical Poetry
"... Abstract In this note we will look at some artwork inspired by the mathematics of vector fields on surfaces. ..."
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Abstract In this note we will look at some artwork inspired by the mathematics of vector fields on surfaces.
Generalized vector field 1
, 705
"... We define generalized vector fields, and contraction and Lie derivatives with respect to them. Generalized commutators are also defined. 1 ..."
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We define generalized vector fields, and contraction and Lie derivatives with respect to them. Generalized commutators are also defined. 1
The Index of Discontinuous Vector Fields
 Journal of Mathematics
, 1995
"... . The concept of the index of a vector field is one of the oldest in Algebraic Topology. First stated by Poincare and then perfected by Heinz Hopf and S. Lefschetz and Marston Morse, it is developed as the sum of local indices of the zeros of the vector field, using the idea of degree of a map and i ..."
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Cited by 15 (3 self)
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. The concept of the index of a vector field is one of the oldest in Algebraic Topology. First stated by Poincare and then perfected by Heinz Hopf and S. Lefschetz and Marston Morse, it is developed as the sum of local indices of the zeros of the vector field, using the idea of degree of a map
Vector field contours
 IN GRAPHICS INTERFACE 2008
, 2008
"... We describe an approach to define contours of 3D vector fields and employ them as an interactive flow visualization tool. Although contours are welldefined and commonly used for surfaces and 3D scalar fields, they have no straightforward extension in vector fields. Our approach is to extract and v ..."
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Cited by 4 (0 self)
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We describe an approach to define contours of 3D vector fields and employ them as an interactive flow visualization tool. Although contours are welldefined and commonly used for surfaces and 3D scalar fields, they have no straightforward extension in vector fields. Our approach is to extract
Parallel vector field embedding
 Journal of Machine Learning Research
"... We propose a novel local isometry based dimensionality reduction method from the perspective of vector fields, which is called parallel vector field embedding (PFE). We first give a discussion on local isometry and global isometry to show the intrinsic connection between parallel vector fields and i ..."
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Cited by 2 (2 self)
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We propose a novel local isometry based dimensionality reduction method from the perspective of vector fields, which is called parallel vector field embedding (PFE). We first give a discussion on local isometry and global isometry to show the intrinsic connection between parallel vector fields
Discrete Multiscale Vector Field Decomposition
, 2003
"... While 2D and 3D vector fields are ubiquitous in computational sciences, their use in graphics is often limited to regular grids, where computations are easily handled through finitedifference methods. In this paper, we propose a set of simple and accurate tools for the analysis of 3D discrete vecto ..."
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Cited by 92 (10 self)
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While 2D and 3D vector fields are ubiquitous in computational sciences, their use in graphics is often limited to regular grids, where computations are easily handled through finitedifference methods. In this paper, we propose a set of simple and accurate tools for the analysis of 3D discrete
Results 11  20
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19,131