Document Detail


Experimental and theoretical inspection of the phase-to-height relation in Fourier transform profilometry.
MedLine Citation:
PMID:  19137051     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
The measurement of an object's shape using projected fringe patterns needs a relation between the measured phase and the object's height. Among various methods, the Fourier transform profilometry proposed by Takeda and Mutoh [Appl. Opt.22, 3977-3982 (1983)] is widely used in the literature. Rajoub et al. have shown that the reference relation given by Takeda is erroneous [J. Opt. A. Pure Appl. Opt.9, 66-75 (2007)]. This paper follows from Rajoub's study. Our results for the phase agree with Rajoub's results for both parallel- and crossed-optical-axes geometries and for either collimated or noncollimated projection. Our two main results are: (i) we show experimental evidence of the error in Takeda's formula and (ii) we explain the error in Takeda's derivation and we show that Rajoub's argument concerning Takeda's error is not correct.
Authors:
Agnès Maurel; Pablo Cobelli; Vincent Pagneux; Philippe Petitjeans
Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Applied optics     Volume:  48     ISSN:  1539-4522     ISO Abbreviation:  Appl Opt     Publication Date:  2009 Jan 
Date Detail:
Created Date:  2009-01-12     Completed Date:  2009-04-02     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0247660     Medline TA:  Appl Opt     Country:  United States    
Other Details:
Languages:  eng     Pagination:  380-92     Citation Subset:  -    
Affiliation:
Laboratoire Ondes et Acoustique, UMR CNRS 7587, Ecole Supérieure de Physique et Chimie Industrielles, 10 rue Vauquelin, 75005 Paris, France. agnes.maurel@espci.fr
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