Abstract

We present a mathematical analysis of moiré sensing in which the basic theoretical concept—and tool—is the concept of the contour function. We show that the mathematical analysis is simplified greatly by systematic recourse to this tool. The analysis that is presented permits a simultaneous treatment of two different modes of implementing the moiré technique: the direct mode (widely used and well known) and the converse mode (scarcely used). The converse mode consists of computing and designing a grating especially for one model of an object in such a way that if (and only if) the object is in conformity with the prescribed model, will the resulting moiré fringes be parallel straight lines. We give explicit formulas and algorithms for such computations.

© 1992 Optical Society of America

Three-map absolute moiré contouring

Xinjun Xie, John T. Atkinson, Michael J. Lalor, and David R. Burton
Appl. Opt. 35(35) 6990-6995 (1996)

Moiré depth contouring

F. Heiniger and T. Tschudi
Appl. Opt. 18(10) 1577-1581 (1979)

Contouring of diffused objects using lensless Fourier transform digital moiré holography

Md. Mosarraf Hossain, Gyanendra Sheoran, Varun Kumar, and Chandra Shakher
Appl. Opt. 51(21) 5331-5339 (2012)

Projection moiré for remote contour analysis

J. L. Doty
J. Opt. Soc. Am. 73(3) 366-372 (1983)

Automatic moire contouring

Harvey E. Cline, William E. Lorensen, and Andrew S. Holik
Appl. Opt. 23(10) 1454-1459 (1984)