Abstract
We propose a hybrid computational framework to reduce motion-induced measurement error by combining the Fourier transform profilometry (FTP) and phase-shifting profilometry (PSP). The proposed method is composed of three major steps: Step 1 is to extract continuous relative phase maps for each isolated object with single-shot FTP method and spatial phase unwrapping; Step 2 is to obtain an absolute phase map of the entire scene using PSP method, albeit motion-induced errors exist on the extracted absolute phase map; and Step 3 is to shift the continuous relative phase maps from Step 1 to generate final absolute phase maps for each isolated object by referring to the absolute phase map with error from Step 2. Experiments demonstrate the success of the proposed computational framework for measuring multiple isolated rapidly moving objects.
Highlights
The rapidly evolving three-dimensional (3D) shape measurement technologies have enjoyed a wide applications ranging from industrial inspection to biomedical science
To alleviate the measurement errors induced by object motion, it is desirable to reduce the number of fringe images required to reconstruct 3D geometry
The approaches that minimize the number of projection patterns include single-shot Fourier transform profilometry (FTP) [2], 1 + 1 FTP approach [3], π-shift FTP approach [4], 2 + 1 phase-shifting approach [5] and three-step phase-shifting profilometry (PSP) [6, 7]
Summary
The rapidly evolving three-dimensional (3D) shape measurement technologies have enjoyed a wide applications ranging from industrial inspection to biomedical science. The approach that requires least number of projection patterns is the standard FTP approach which extracts phase information within a single-shot fringe image. This property of FTP approach is extremely advantageous when rapid motion is present in the measured scene. Most single-shot FTP approaches adopt spatial phase unwrapping, which detects 2π discontinuities solely from the wrapped phase map itself and removes them by adding or subtracting integer k (x, y) multiples of 2π. This integer number k (x, y) is often called fringe order. It cannot handle scenes with spatially isolated object
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