A comparison theorem for a piecewise Lipschitz continuous Hamiltonian and application to Shape-from-Shading problems (Q1203411)
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scientific article; zbMATH DE number 118301
| Language | Label | Description | Also known as |
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| English | A comparison theorem for a piecewise Lipschitz continuous Hamiltonian and application to Shape-from-Shading problems |
scientific article; zbMATH DE number 118301 |
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A comparison theorem for a piecewise Lipschitz continuous Hamiltonian and application to Shape-from-Shading problems (English)
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8 February 1993
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The reconstruction of a Lambertian from a shaded image may be written as a Hamilton-Jacobi equation. Based on the viscosity solution theory and the dynamic programming principle the uniqueness of the solution is investigated, continuing the work of \textit{E. Rouy} and the author [A viscosity solution approach for shape-from-shading, SIAM J. Numer. Anal. 29, No. 3, 867-884 (1992; Zbl 0754.65069)]. Numerical results are included.
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shape-from-shading
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numerical results
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Lambertian
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numerical experiments
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image analysis
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Hamilton-Jacobi equation
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viscosity solution
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dynamic programming
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