Abstract
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
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