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Acquiring Aligned Endoscopic and Depth Image Pairs Using Structured-Light Projection, Neural Surfaces and an Electromagnetic Positional Sensor. [PDF]
Furukawa R +3 more
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New Design Scheme for and Application of Fresnel Lens for Broadband Photonics Terahertz Communication. [PDF]
Tian P +5 more
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Robust cortical thickness estimation in the presence of partial volumes using adaptive diffusion equation. [PDF]
Joshi AA +6 more
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Application of Discrete Exterior Calculus Methods for the Path Planning of a Manipulator Performing Thermal Plasma Spraying of Coatings. [PDF]
Kussaiyn-Murat A +8 more
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Linearized boundary control method for density reconstruction in acoustic wave equations. [PDF]
Oksanen L, Yang T, Yang Y.
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Symmetries of the Eikonal equation
Communications in Nonlinear Science and Numerical Simulation, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghanam, Ryad, Thompson, Gerard
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Group Classification of Generalized Eikonal Equations
Ukrainian Mathematical Journal, 2001The goal of the paper is to obtain the group classification of the equation \[ \sum_{i=0}^{n}u^2_{x_i}=F(t,u,u_t) \quad(x_0:=t)\tag{1} \] for a scalar unknown function \(u(t,x_1,\ldots,x_n)\). In this equation, the function \(F:\mathbb R^3 \mapsto \mathbb R\) is regarded as an ``arbitrary element''.
Popovych, R. O., Ehorchenko, I. A.
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Eikonal Equation for Anisotropic Media
Journal of Mathematical Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1999
The problem is to find a complex function $$ w(x,y) = u(x,y) + iv(x,y) $$ such that $$ \left\{ {\begin{array}{*{20}{c}} {w_x^2 + w_y^2 + {f^2} = 0,a.ein\Omega } \\ {w = \varphi on\partial \Omega ,} \end{array}} \right. $$ Where \( f:\Omega \times {\mathbb{R}^2} \to \mathbb{R}(f = f(x,y,u,v)) \) is continuous and \( \Omega \subset {\mathbb{
Bernard Dacorogna, Paolo Marcellini
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The problem is to find a complex function $$ w(x,y) = u(x,y) + iv(x,y) $$ such that $$ \left\{ {\begin{array}{*{20}{c}} {w_x^2 + w_y^2 + {f^2} = 0,a.ein\Omega } \\ {w = \varphi on\partial \Omega ,} \end{array}} \right. $$ Where \( f:\Omega \times {\mathbb{R}^2} \to \mathbb{R}(f = f(x,y,u,v)) \) is continuous and \( \Omega \subset {\mathbb{
Bernard Dacorogna, Paolo Marcellini
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