title: Deflectometric method for surface shape reconstruction from its gradient.
abstract: 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.
authors.affiliation: Czech Technical University in Prague, Faculty of Civil Engineering, Department of Physics, Thakurova 7, 16629 Prague, Czech Republic. miks@fsv.cvut.cz
authors.forename: Antonin
authors.initials: A
authors.lastname: Miks
authors.forename: Jiri
authors.initials: J
authors.lastname: Novak
mesh_terms: D021621:Imaging, Three-Dimensional / Q000379:methods*; D008420:Manufactured Materials / Q000032:analysis; D008422:Materials Testing / Q000379:methods*; D010783:Photometry / Q000295:instrumentation*; D013499:Surface Properties