Algorithms for constructing 3-D point clouds using multiple digital fringe projection patterns

This paper describes algorithms for generating 3-D point clouds from a set of digital imagesobtained from projecting phase-shifted sinusoidal fringe patterns onto object. In this paper, a
mathematical model is introduced for describing the geometric relationship between the fringe
patterns being projected, the image captured and the shape of the object being measured. This
model allows considerable flexibility in the spatial configuration of shape measurement system.
The algorithms for point cloud construction described in this paper present an improvement over
the existing algorithms in terms of accuracy, ease of system calibration, and sensitivity to parameter
errors. These algorithms have been incorporated in a shape measurement system and shown to
have a very good performance.