KEYWORDS: Calibration, Cameras, Projection systems, Imaging systems, Systems modeling, Fringe analysis, Digital cameras, 3D metrology, 3D modeling, 3D image processing
In order to get measures with a high accurate, three-dimensional reconstruction systems are implemented in
industrial, medical, and investigative fields. To obtain high accurate is necessary to carry out an appropriate
calibration procedure. In fringe projection profilometry, this procedure allows obtaining a relation between absolute
phase and three-dimensional (3D) information of the object in study; however, to execute such procedure a precise
movement stage is required. A fringe projection system is formed by a projector, a digital camera and a control unit,
called like a projection-acquisition unit in this paper. The calibration of the projection-acquisition unit consists in to
establish the parameters that are required to transform the phase of the projected fringes to metric coordinates of the
object surface. These parameters are a function of the intrinsic and extrinsic parameters of both camera and
projector, due to the projector is modeled as an inverse camera. For this purpose, in this paper a novel and flexible
calibration method that allows calibrating any device that works with fringe projection profilometry is proposed. In
this method is used a reference plane placed in random positions and the projection of an encoded pattern of control
points. The camera parameters are computed using Zhang’s calibration method; and the projector parameters are
computed from the camera parameters and the phase of the pattern of control points, which is determined by using
Fourier analysis. Experimental results are presented to demonstrate the performance of the calibration method.
Three-dimensional shape measurement is a subject that consistently produces high scientific interest and provides
information for medical, industrial and investigative applications, among others. In this paper, it is proposed to
implement a three-dimensional (3D) reconstruction system for applications in superficial inspection of non-metallic
pipes for the hydrocarbons transport. The system is formed by a CCD camera, a video-projector and a laptop and it
is based on fringe projection technique. System functionality is evidenced by evaluating the quality of three-dimensional
reconstructions obtained, which allow observing the failures and defects on the study object surface.
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