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Results in Mathematics, 1997
Let \(K={\mathbb R}\) or \({\mathbb C}\), \(U\) an open subset of \(K^n\), \(\mu: U\rightarrow K\) and \(f,g: U\rightarrow K^n\) analytic functions, and consider the differential equation \(\dot x =f(x)+\mu(x)g(x)\). The main result of the paper describes how the general solution of this equation is expressible in terms of the solutions of \(\dot x= f ...
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Let \(K={\mathbb R}\) or \({\mathbb C}\), \(U\) an open subset of \(K^n\), \(\mu: U\rightarrow K\) and \(f,g: U\rightarrow K^n\) analytic functions, and consider the differential equation \(\dot x =f(x)+\mu(x)g(x)\). The main result of the paper describes how the general solution of this equation is expressible in terms of the solutions of \(\dot x= f ...
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IEEE Computer Graphics and Applications, 1994
We present two new techniques for rendering 3D vector fields in scientific visualisation. We also present a new technique called texture splats for rendering these volumes efficiently. >
Roger Crawfis +2 more
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We present two new techniques for rendering 3D vector fields in scientific visualisation. We also present a new technique called texture splats for rendering these volumes efficiently. >
Roger Crawfis +2 more
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Proceedings of the 1st International Conference on Internet of Things and Machine Learning, 2017
Conventional classifiers often regard input samples as identically and independently distributed (i.i.d.). This is however not true in many real applications, especially when patterns occur as groups (where each group shares a homogeneous style). Such tasks are also called field classification. By breaking the i.i.d.
Kaizhu Huang +2 more
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Conventional classifiers often regard input samples as identically and independently distributed (i.i.d.). This is however not true in many real applications, especially when patterns occur as groups (where each group shares a homogeneous style). Such tasks are also called field classification. By breaking the i.i.d.
Kaizhu Huang +2 more
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Overparameterized Models for Vector Fields
SIAM Journal on Imaging Sciences, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keren Rotker +2 more
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Vector Wavelet Thresholding for Vector Field Denoising
IEEE Visualization 2004, 2005Noise reduction is an important preprocessing step for many visualization techniques that make use of feature extraction. We propose a method for denoising 2-D vector fields that are corrupted by additive noise. The method is based on the vector wavelet transform and wavelet coefficient thresholding.
Westenberg, M.A., Ertl, T.
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Vector Analysis and Vector Fields
2004A vector function of a scalar variable is a vector \( {\vec{\text{a}}} \) whose components are real functions of t: \( {\vec{\text{a}}} = {\vec{\text{a}}}(t) = a_{x} (t ) {\vec{\text{e}}}_{x} + a_{y} (t ) {\vec{\text{e}}}_{y} + a_{z} (t ) {\vec{\text{e}}}_{z} .
Ilja N. Bronshtein +3 more
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Segmentation of discrete vector fields
IEEE Transactions on Visualization and Computer Graphics, 2006In this paper, we propose an approach for 2D discrete vector field segmentation based on the Green function and normalized cut. The method is inspired by discrete Hodge Decomposition such that a discrete vector field can be broken down into three simpler components, namely, curl-free, divergence-free, and harmonic components.
Hongyu Li 0001 +2 more
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A non-potential orthogonal vector field method for more efficient robot navigation and control
Robotics and Autonomous Systems, 2023Quan Quan, Rao Fu, Chenggang Bai
exaly
2018
The velocity of a fluid at each point of space-time is a vector field (or flow). It is best to think of it in terms of the effect of fluid flow on some scalar field. A vector field is thus a first order partial differential operator, called the material derivative in fluid mechanics.
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The velocity of a fluid at each point of space-time is a vector field (or flow). It is best to think of it in terms of the effect of fluid flow on some scalar field. A vector field is thus a first order partial differential operator, called the material derivative in fluid mechanics.
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