Abstract
One of the challenges of phase measuring deflectometry is to retrieve the wavefront from objects that present discontinuities or non-differentiable gradient fields. Here, we propose the integration of such gradient fields based on an ${L^p}$-norm minimization problem. The solution of this problem results in a nonlinear partial differential equation, which can be solved with a fast and well-known numerical method and does not depend on external parameters. Numerical reconstructions on both synthetic and experimental data are presented that demonstrate the capability of the proposed method.
© 2023 Optica Publishing Group
Full Article | PDF ArticleMore Like This
Lei Huang, Junpeng Xue, Bo Gao, Chao Zuo, and Mourad Idir
Appl. Opt. 56(18) 5139-5144 (2017)
Carlos Galvan and Mariano Rivera
Appl. Opt. 45(2) 353-359 (2006)
Ricardo Legarda-Saenz, Carlos Brito-Loeza, and Arturo Espinosa-Romero
Appl. Opt. 53(11) 2297-2301 (2014)