Abstract
For dynamic three-dimensional (3-D) surface reconstruction of continuously deformed objects, an efficient method employing one fringe pattern is proposed. First, a two-dimensional wavelet transform profilometry (2-D WTP) employing an improved cost function is adopted to obtain the wrapped phase, which has the better noise suppression ability. Then, a new 3-D phase unwrapping algorithm is introduced to obtain the unwrapped phase, which includes four steps. a) A new 3-D residues recognition method is proposed. b) A 3-D branch cut construction algorithm based on an improved GA is proposed. c) A 3-D phase derivative variance quality map is established. d) A 3-D flood filling phase unwrapping algorithm guided by 3-D quality map avoiding 3-D branch cut (3-D FGQAB) is introduced to obtain the unwrapped phase. Simulation and experimental comparisons are carried out, the results show that the proposed method can be applied to dynamic 3-D reconstruction of the continuously deformed objects.
Highlights
Dynamic 3-D surface reconstruction of continuously deformed objects has wide application prospects
A new 3-D phase unwrapping algorithm is introduced to obtain the unwrapped phase, which includes four steps. a) A new 3-D residues recognition method is proposed. b) A 3-D branch cut construction algorithm based on an improved Genetic Algorithm (GA) is proposed. c) A 3-D phase derivative variance quality map is established. d) A 3-D flood filling phase unwrapping algorithm guided by 3-D quality map avoiding 3-D branch cut (3-D FGQAB) is introduced to obtain the unwrapped phase
Since phase-shifting profiometry (PSP), Fourier transform profiometry (FTP) and wavelet transform profiometry (WTP) use the arctangent function to extract phase, phase is wrapped into a range from −π to π, which needs to be unwrapped
Summary
Dynamic 3-D surface reconstruction of continuously deformed objects has wide application prospects. FTP only needs one fringe pattern to obtain the wrapped phase, so it can be used for the dynamic 3-D surface measurement of continuously deformed objects. The above methods project multiple sets of fringes with different frequencies along the time coordinate and unwraps the phase of each pixel individually They have high accuracy and can be used to measure the objects with height jumps. We only need one fringe to calculate the wrapped phase and unwrapped phase with high precision, which avoids the frame-to-frame error when multiple fringe patterns are projected and captured. According to the principle that the large coefficient modulus caused by noise can be removed by wavelet ridge continuity, the gradient of scale factor is introduced into the modulus of the two-dimensional wavelet transform coefficient, the cost function is established and used to evaluate the cost value of the whole candidate points. The algorithm repeats the above steps until all pixels are expanded
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