Phase unwrapping of fringe images for dynamic 3D measurements without additional pattern projection

Fringe projection is an established method for contactless measurement of 3D object structure. Adversely, the coding of fringe projection is ambiguous. To determine object points with absolute position in 3D space, this coding has to be unique. We propose a novel approach of phase unwrapping without using additional pattern projection. Based on a stereo camera setup, an image segmentation of each view in areas without height jumps larger than a fringe period is necessary. Within these segments, phase unwrapping is potentially without error. Alignment of phase maps between the two views is realized by an identification process of one correspondence point.

[1]  Jingang Zhong,et al.  Spatial carrier-fringe pattern analysis by means of wavelet transform: wavelet transform profilometry. , 2004, Applied optics.

[2]  Idaku Ishii,et al.  A High-Speed 3D Shape Measurement System Using a Multi-Sided Mirror , 2007, 2007 IEEE International Conference on Automation Science and Engineering.

[3]  Munther A Gdeisat,et al.  Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform. , 2006, Applied optics.

[4]  Peter Kühmstedt,et al.  Array-projected aperiodic sinusoidal fringes for high-speed 3-D shape measurement , 2014, Sensing Technologies + Applications.

[5]  Martin Schaffer,et al.  High-speed three-dimensional shape measurements of objects with laser speckles and acousto-optical deflection. , 2011, Optics letters.

[6]  Feipeng Da,et al.  Phase demodulation using adaptive windowed Fourier transform based on Hilbert-Huang transform. , 2012, Optics express.

[7]  Hui Zhao,et al.  Simultaneous phase-shifting dual-wavelength interferometry based on two-step demodulation algorithm. , 2014, Optics letters.

[8]  Norden E. Huang,et al.  A review on Hilbert‐Huang transform: Method and its applications to geophysical studies , 2008 .

[9]  Zhaoyang Wang,et al.  Real-time, high-accuracy 3D imaging and shape measurement. , 2015, Applied optics.

[10]  P. Albrecht,et al.  Stereo photogrammetry with improved spatial resolution , 1998, Proceedings. Fourteenth International Conference on Pattern Recognition (Cat. No.98EX170).

[11]  B. Barnhart,et al.  The Hilbert-Huang transform: Theory, applications, development , 2011 .

[12]  Munther A. Gdeisat,et al.  Fast two-dimensional phase-unwrapping algorithm based on sorting by reliability following a noncontinuous path. , 2002, Applied optics.

[13]  Christian Bräuer-Burchardt,et al.  Phase unwrapping using geometric constraints for high-speed fringe projection based 3D measurements , 2013, Optical Metrology.

[14]  Wolfgang Schreiber,et al.  Theory and arrangements of self-calibrating whole-body 3-D-measurement systems using fringe projection technique , 2000 .

[16]  Song Zhang,et al.  High-speed absolute three-dimensional shape measurement using three binary dithered patterns. , 2014, Optics express.

[17]  M. Takeda,et al.  Fourier transform profilometry for the automatic measurement of 3-D object shapes. , 1983, Applied optics.

[18]  Jiangtao Xi,et al.  3D shape measurement based on projection of triangular patterns of two selected frequencies. , 2014, Optics express.

[19]  N. Huang,et al.  The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis , 1998, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.