连续朗伯形状从阴影:一个原始对偶算法

IF 1.9 3区数学 Q2 Mathematics

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique Pub Date : 2022-02-07 DOI:10.1051/m2an/2022014

Hamza Ennaji, N. Igbida, Van Thanh Nguyen

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引用次数: 2

摘要

利用Hamilton-Jacobi方程的PDE方法研究了阴影的连续朗伯形状。后者将以最大化问题为特征。本文证明了离散化的收敛性，并提出了用著名的chambolle - pock原对偶算法数值求解阴影形状问题。该问题的鞍点结构使得Chambolle-Pock算法适用于离散化问题的近似解。

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Continuous Lambertian shape from shading: a primal-dual algorithm

The continuous Lambertian shape from shading is studied using a PDE approach in terms of Hamilton–Jacobi equations. The latter will then be characterized by a maximization problem. In this paper we show the convergence of discretization and propose to use the wellknown Chambolle–Pock primal-dual algorithm to solve numerically the shape from shading problem. The saddle-point structure of the problem makes the Chambolle–Pock algorithm suitable to approximate solutions of the discretized problems.

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来源期刊

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique 数学-应用数学

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

6-12 weeks

期刊介绍： M2AN publishes original research papers of high scientific quality in two areas: Mathematical Modelling, and Numerical Analysis. Mathematical Modelling comprises the development and study of a mathematical formulation of a problem. Numerical Analysis comprises the formulation and study of a numerical approximation or solution approach to a mathematically formulated problem. Papers should be of interest to researchers and practitioners that value both rigorous theoretical analysis and solid evidence of computational relevance.