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- Eikonal_equation abstract "The eikonal equation (from German Eikonal, which is from Greek εἰκών, image) is a non-linear partial differential equation encountered in problems of wave propagation, when the wave equation is approximated using the WKB theory. It is derivable from Maxwell's equations of electromagnetics, and provides a link between physical (wave) optics and geometric (ray) optics.The eikonal equation is of the form subject to , where is an open set in with well-behaved boundary, is a function with positive values, denotes the gradient and |·| is the Euclidean norm. Here, the right-hand side is typically supplied as known input. Physically, the solution is the shortest time needed to travel from the boundary to inside with being the time cost (not speed) at .In the special case when , the solution gives the signed distance from .One fast computational algorithm to approximate the solution to the eikonal equation is the fast marching method.".
- Eikonal_equation wikiPageExternalLink crowd-flows.
- Eikonal_equation wikiPageExternalLink bruns_-_the_eikonal.pdf.
- Eikonal_equation wikiPageExternalLink node2.html.
- Eikonal_equation wikiPageID "4557698".
- Eikonal_equation wikiPageRevisionID "597387845".
- Eikonal_equation hasPhotoCollection Eikonal_equation.
- Eikonal_equation subject Category:Partial_differential_equations.
- Eikonal_equation type Abstraction100002137.
- Eikonal_equation type Communication100033020.
- Eikonal_equation type DifferentialEquation106670521.
- Eikonal_equation type Equation106669864.
- Eikonal_equation type MathematicalStatement106732169.
- Eikonal_equation type Message106598915.
- Eikonal_equation type PartialDifferentialEquation106670866.
- Eikonal_equation type PartialDifferentialEquations.
- Eikonal_equation type Statement106722453.
- Eikonal_equation comment "The eikonal equation (from German Eikonal, which is from Greek εἰκών, image) is a non-linear partial differential equation encountered in problems of wave propagation, when the wave equation is approximated using the WKB theory.".
- Eikonal_equation label "Ecuación de la eikonal".
- Eikonal_equation label "Eikonal equation".
- Eikonal_equation label "Eikonal".
- Eikonal_equation label "Équation eikonale".
- Eikonal_equation label "Уравнение эйконала".
- Eikonal_equation label "アイコナール方程式".
- Eikonal_equation sameAs Eikonálová_rovnice.
- Eikonal_equation sameAs Eikonal.
- Eikonal_equation sameAs Ecuación_de_la_eikonal.
- Eikonal_equation sameAs Équation_eikonale.
- Eikonal_equation sameAs アイコナール方程式.
- Eikonal_equation sameAs m.0c8sdg.
- Eikonal_equation sameAs Q1303846.
- Eikonal_equation sameAs Q1303846.
- Eikonal_equation sameAs Eikonal_equation.
- Eikonal_equation wasDerivedFrom Eikonal_equation?oldid=597387845.
- Eikonal_equation isPrimaryTopicOf Eikonal_equation.