Abstract
An improved method which considers the use of Fourier and wavelet transform based analysis to infer and extract 3D information from an object by fringe projection on it is presented. This method requires a single image which contains a sinusoidal white light fringe pattern projected on it, and this pattern has a known spatial frequency and its information is used to avoid any discontinuities in the fringes with high frequency. Several computer simulations and experiments have been carried out to verify the analysis. The comparison between numerical simulations and experiments has proved the validity of this proposed method.
Highlights
In the last three decades, the idea of extracting the 3D information of a scene from its 2D images has been widely investigated
Fringe processing methods are widely used in non-destructive testing, optical metrology and 3D reconstruction systems
Most of the previous research is focused on using the Fourier and wavelet transforms separately to obtain the 3D information from an object; pre-filtering the images, extracting the phase information of fringe patterns, using phase unwrapping algorithms, and so on
Summary
In the last three decades, the idea of extracting the 3D information of a scene from its 2D images has been widely investigated. The computation in the method can be carried out by analyzing the projected fringe patterns using a wavelet transform This analysis consists of demodulating the deformed fringe patterns and extracting the phase information encoded into it and the height profile of the object can be calculated, quite similar to Fourier transform. Gdeisat et al [15] have proposed a 1D continuous wavelet transform approach to retrieve phase information in temporally and spatially fringe patterns, several algorithms were used for ridge extraction in the phase of the fringe patters. Most of the previous research is focused on using the Fourier and wavelet transforms separately to obtain the 3D information from an object; pre-filtering the images, extracting the phase information of fringe patterns, using phase unwrapping algorithms, and so on. In order to validate the methodology, some virtual objects were created for use in computer simulations and experiments
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