The eikonal equation: some results applicable to computer vision
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Publication:3967903
DOI10.1063/1.525441zbMath0502.35079OpenAlexW1992799516MaRDI QIDQ3967903
Publication date: 1982
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.525441
computer visionsingular pointeikonal equationscanning electron microscopyconvex and positive solutionexactly two solutionsrelationship between the light reflected from a surface and its shape
Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric optics (78A05) Electron optics (78A15)
Related Items (19)
On complete integrals and uniqueness in shape from shading ⋮ An adaptive finite-difference method for accurate simulation of first-arrival traveltimes in heterogeneous media ⋮ The Chebyshev spectral viscosity method for the time dependent eikonal equation ⋮ Variable-source shading analysis ⋮ The use of a Legendre pseudospectral viscosity technique to solve a class of nonlinear dynamic Hamilton-Jacobi equations ⋮ A boundary-only meshless method for numerical solution of the eikonal equation ⋮ Application of computer algebra for the reconstruction of surfaces from their photometric stereo images ⋮ Application of computer algebra to photometric stereo with two light sources ⋮ Application of computer algebra to the reconstruction of surface from its photometric images ⋮ The use of variational iteration method and Adomian decomposition method to solve the Eikonal equation and its application in the reconstruction problem ⋮ Existence and uniqueness in shape from shading ⋮ A seminumeric approach for solution of the Eikonal partial differential equation and its applications ⋮ Circularly symmetric eikonal equations and non-uniqueness in computer vision ⋮ Instability of the eikonal equation and shape from shading ⋮ Hybrid massively parallel fast sweeping method for static Hamilton-Jacobi equations ⋮ Existence and uniqueness in photometric stereo ⋮ Mathematical methods in shape-from-shading: A review of recent results ⋮ A second-order distributed memory parallel fast sweeping method for the eikonal equation ⋮ On variational approach to photometric stereo
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