3D-profilometry of discontinuous solids by fringe projection is a difficult task due to the problem posed by the phase (profile) unwrapping at sharp borders. To solve this problem, Servin et al. proposed the so-called two-steps temporal unwrapping, in which two consecutive sequences of fringe patterns with different spatial frequencies (a low- and a high-frequency patterns sequence) are projected over a static test surface. As the 3D surface profile is retrieved by phase-shifting techniques, each fringe sequence must have at least three phase–shifted frames, which in principle would preclude the use of temporal unwrapping for measuring moving objects since at least it would be necessary to acquire a total of twelve frames (six frames for the test object plus six more for a reference plane). In the present work we present an improvement to this method, which requires the acquisition of only two color-coded fringe patterns (i.e., two RGBimages) for reconstructing the discontinuous 3D surface of a moving object. The proposed approach is based on the projection of fringes with two different frequencies. Validation experiments are presented.
KEYWORDS: Linear filtering, Reconstruction algorithms, Reflectivity, 3D image reconstruction, Cameras, Light sources, 3D image processing, 3D modeling, Machine vision, 3D vision
There are several algorithms to solve the shape from shading problem. Most of these algorithms rely on basic assumptions about the surface reflective properties, camera projection and location, and the light source distribution. In this paper, we implemented an algorithm based on a Wiener filter to obtain surface estimation from a single image. We tested the algorithm with images generated synthetically and also employing images from a real object. We were able to obtain the shape of objects with different geometries.
A simple technique for wavefront measurement is presented. This technique is based on the use of a computer display (LCD monitor) to generate color fringe patterns, which are imaged by a single-CCD color camera; whereas a phase object is placed in the ray path for imaging. The ray de ections distort the image of the pattern. By measuring this distortion, the gradients of the phase change caused by the object can be obtained. For the evaluation of the acquired fringe patterns, we use a classical phase-shifting technique with three fringe patterns encoded in a single color image displayed by the monitor; therefore, this proposed technique allows for real-time object shape measurement. Experiments are presented to demonstrate the success of this technique.
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