Introduction
Optical techniques are now becoming widely used on the production
line for the automatic inspection of objects and their components,
bringing significant advantages in the cost-effective improvement in
the quality of products. By reasons of their sensitivity, accuracy and
non-contact as well as non-destructive characteristics, methods such as
holographic interferometry, speckle metrology, moiré and fringe
projection techniques have found an increasing interest not only for
laborious investigations but also for applications on the factory
floor.
These applications cover such important fields as testing of lenses and
mirrors with respect to optical surface forms, construction
optimization of components by stress analysis under operational load,
on site investigation of industrial products with diffusely reflecting
surfaces for the purpose of material fault detection and last but not
least optical shape recognition as an area of topical interest for the
solution of problems in reverse engineering.
The basic principle of these methods consists either in a specific
structuring of the illumination of the object by incoherent projection
of fringe patterns onto the surface under test or by coherent
superposition (interference) of light fields representing different
states of the object. A common property of the methods is that they
produce fringe patterns as output. In these intensity fluctuations the
quantities of interest - coordinates, displacements, refractive index
and others - are coded in the scale of the fringe period.
Using coherent methods this period is determined by the wavelength of
the interfering light fields. In the case of incoherent fringe
projection the spacing between two neighboring lines of the projected
transparency controls the scale of the measurement. Consequently the
task to be solved in fringe analysis can be defined as the conversion
of the fringe pattern into a continuous phase map taking into account
the quasi sinusoidal character of the intensity distribution.

Techniques for the analysis of fringe patterns are as old as
interferometric methods themselves, but until into the late 1980s
routine analysis of fringe patterns for optical shop testing,
experimental stress analysis and non-destructive testing was mainly
performed manually.
One example may illustrate this highly subjective and time consuming
process: If only one minute is estimated for the manual evaluation per
measuring point the total time necessary for the reconstruction of the
three-dimensional displacement field of a 32×32 mesh would take almost
6 working days because at least 3 holographic interferograms with 1024
grid points each have to be evaluated. Such a procedure must be
qualified as very ineffective with respect to the requirements of
modern industrial inspection, to say nothing of the limited reliability
of the derived data.
However, the step from a manual laborious technique done by skilled
technicians to a fully automatic procedure was strongly linked to the
availability of modern computer technology. Therefore the development
of automatic fringe pattern analysis closely followed the exponential
growth in the power of digital computers with image processing
capabilities.
For several years various commercial image processing systems with
different efficiency and price level have been developed and
specialized systems dedicated to the solution of complex fringe
analysis problems are commercially available now. Advanced hardware and
software technologies enable the use of desktop systems with several
image memories and special video processors nearby the optical set-up.
This online connection between digital image processors and optical
test equipment opens completely new approaches for optical metrology
and non-destructive testing as real time techniques with high
industrial relevance. In this sense automatic fringe analysis has
developed mainly during the 1980s into a subject in its own right.