The problem of surface reconstruction from slope or curvature measurements of rectangular areas has been examined by use of the orthogonality property of Legendre polynomials. A relation is given between the integrals involving slope or curvature data and the coefficients used in the expansion of the surface with such polynomials. It is shown that those coefficients are retrieved independently of each other. The efficiency and stability of the method have been tested with numerical examples.
© 1997 Optical Society of America
Original Manuscript: October 28, 1996
Revised Manuscript: February 10, 1997
Published: July 10, 1997
Michel Grédiac, "Method for surface reconstruction from slope or curvature measurements of rectangular areas," Appl. Opt. 36, 4823-4829 (1997)