Open AccessDeflectometric method for surface shape reconstruction from its gradient
Author(s) -
Antonı́n Mikš,
Jiří Novák
Publication year - 2012
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.20.028341
Subject(s) - surface (topology) , optics , partial differential equation , surface reconstruction , nonlinear system , materials science , physics , mathematical analysis , geometry , mathematics , quantum mechanics
In this work we provide a theoretical analysis of gradient deflectometric method for 3D topography measurements of optically smooth surfaces. It is shown that the surface reconstruction problem leads to a nonlinear partial differential equation. A shape of a surface can be calculated by solution of a derived equation. An advantage of the presented method is a noncontact character and no need for a reference surface.