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Abstract
An important step of phase calculation-based fringe projection systems is 3D calibration, which builds up the relationship between an absolute phase map and 3D shape data. The existing 3D calibration methods are complicated and hard to implement in practical environments due to the requirement of a precise translating stage or gauge block. This paper presents a 3D calibration method which uses a white plate with discrete markers on the surface. Placing the plate at several random positions can determine the relationship of absolute phase and depth, as well as pixel position and X, Y coordinates. Experimental results and performance evaluations show that the proposed calibration method can easily build up the relationship between absolute phase map and 3D shape data in a simple, flexible and automatic way.
Highlights
Phase calculation-based fringe projection techniques are actively studied in academia and widely applied in industries because of the advantages of non-contact operation, full-field acquisition, high accuracy, fast data processing and low cost [1,2,3]
L cosθ sinθ L0 + x cosθ sinθ where z is the depth relative to M, Δφ is the difference of the unwrapped absolute phase on the measured object and the plane M, L is the baseline between the CCD camera and the DLP projector, L0 is the working distance to M, θ is the angle between the optical axis of the projector and the camera, and P0 is the period of the projected fringe pattern on a virtual plane perpendicular to the projecting axis
As proposed, a simple, flexible and automatic 3D calibration method was developed for a phase calculation-based fringe projection imaging system
Summary
Phase calculation-based fringe projection techniques are actively studied in academia and widely applied in industries because of the advantages of non-contact operation, full-field acquisition, high accuracy, fast data processing and low cost [1,2,3]. Existing 3D calibration methods have complicated and hard to implement procedures in practical environments because a precise translating stage or a gauge block is required It is a challenging problem determining how to build up the relationship between phase map and 3D shape data in a simple, flexible and automatic way, especially out of a laboratory environment. Later, using the same white plate and a checkerboard, a general fringe projection 3D imaging system was accurately calibrated to build up the relationship between absolute phase and depth data [11]. The proposed method can build up the relationship between phase map and 3D shape data, including the absolute phase and depth data, but the pixel positions and transverse coordinates, by using a calibration artifact in a simple, flexible and automatic way
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