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A viscosity solutions approach to shape-from-shading

Authors:

Elisabeth Rouy,

Agnès TourinAuthors Info & Claims

SIAM Journal on Numerical Analysis, Volume 29, Issue 3

Pages 867 - 884

https://doi.org/10.1137/0729053

Published: 01 June 1992 Publication History

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Azad AFang YBaeza-Yates RBonchi F(2024)A Learned Generalized Geodesic Distance Function-Based Approach for Node Feature Augmentation on GraphsProceedings of the 30th ACM SIGKDD Conference on Knowledge Discovery and Data Mining10.1145/3637528.3671858(49-58)Online publication date: 25-Aug-2024
https://dl.acm.org/doi/10.1145/3637528.3671858
Hu RZhang Y(2024)High Order Absolutely Convergent Fast Sweeping Methods with Multi-resolution WENO Local Solvers for Eikonal and Factored Eikonal EquationsJournal of Scientific Computing10.1007/s10915-024-02526-099:3Online publication date: 1-Jun-2024
https://dl.acm.org/doi/10.1007/s10915-024-02526-0
Schaefer KWeickert J(2024)Regularised Diffusion–Shock InpaintingJournal of Mathematical Imaging and Vision10.1007/s10851-024-01175-066:4(447-463)Online publication date: 1-Aug-2024
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A viscosity solutions approach to shape-from-shading

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Shape from Shading and Viscosity Solutions
ECCV '02: Proceedings of the 7th European Conference on Computer Vision-Part II

This article presents an approach to the shape from shading problem which is based upon the notion of viscosity solutions to the shading partial differential equation, in effect a Hamilton-Jacobi equation. The power of this approach is twofolds: 1) it ...
Viscosity solutions and convergence of monotone schemes for synthetic aperture radar shape-from-shading equations with discontinuous intensities
Extending viscosity solutions to Eikonal equations with discontinuous spatial dependence

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cover image SIAM Journal on Numerical Analysis

SIAM Journal on Numerical Analysis Volume 29, Issue 3

June 1992

289 pages

ISSN:0036-1429

Editor:
M. Luskin
Univ. of Minnesota

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Society for Industrial and Applied Mathematics

United States

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Published: 01 June 1992

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Azad AFang YBaeza-Yates RBonchi F(2024)A Learned Generalized Geodesic Distance Function-Based Approach for Node Feature Augmentation on GraphsProceedings of the 30th ACM SIGKDD Conference on Knowledge Discovery and Data Mining10.1145/3637528.3671858(49-58)Online publication date: 25-Aug-2024
https://dl.acm.org/doi/10.1145/3637528.3671858
Hu RZhang Y(2024)High Order Absolutely Convergent Fast Sweeping Methods with Multi-resolution WENO Local Solvers for Eikonal and Factored Eikonal EquationsJournal of Scientific Computing10.1007/s10915-024-02526-099:3Online publication date: 1-Jun-2024
https://dl.acm.org/doi/10.1007/s10915-024-02526-0
Schaefer KWeickert J(2024)Regularised Diffusion–Shock InpaintingJournal of Mathematical Imaging and Vision10.1007/s10851-024-01175-066:4(447-463)Online publication date: 1-Aug-2024
https://dl.acm.org/doi/10.1007/s10851-024-01175-0
Schaefer KWeickert J(2023)Diffusion–Shock InpaintingScale Space and Variational Methods in Computer Vision10.1007/978-3-031-31975-4_45(588-600)Online publication date: 21-May-2023
https://dl.acm.org/doi/10.1007/978-3-031-31975-4_45
Pumarola ASanakoyeu AYariv LThabet ALipman YKoyejo SMohamed SAgarwal ABelgrave DCho KOh A(2022)VisCo gridsProceedings of the 36th International Conference on Neural Information Processing Systems10.5555/3600270.3601583(18060-18071)Online publication date: 28-Nov-2022
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Abada LAouat S(2022)Improved photometric stereo based on local searchMultimedia Tools and Applications10.1007/s11042-022-13205-381:21(31181-31195)Online publication date: 1-Sep-2022
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Li ZTourin A(2022)A Finite Difference Scheme for Pairs Trading with Transaction CostsComputational Economics10.1007/s10614-021-10159-w60:2(601-632)Online publication date: 1-Aug-2022
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Muther TDahaghi ASyed FVan Pham V(2022)Physical laws meet machine intelligence: current developments and future directionsArtificial Intelligence Review10.1007/s10462-022-10329-856:7(6947-7013)Online publication date: 5-Dec-2022
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Chiapolino AFraysse FSaurel R(2021)A Method to Solve Hamilton–Jacobi Type Equation on Unstructured MeshesJournal of Scientific Computing10.1007/s10915-021-01517-988:1Online publication date: 23-May-2021
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Welk MWeickert J(2021)PDE Evolutions for M-Smoothers in One, Two, and Three DimensionsJournal of Mathematical Imaging and Vision10.1007/s10851-020-00986-163:2(157-185)Online publication date: 1-Feb-2021
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Shape from Shading and Viscosity Solutions

Viscosity solutions and convergence of monotone schemes for synthetic aperture radar shape-from-shading equations with discontinuous intensities

Extending viscosity solutions to Eikonal equations with discontinuous spatial dependence

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