Fringe projection techniques: Whither we are?

Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations

Phase shifting algorithms for fringe projection profilometry: A review

Temporal phase unwrapping algorithms for fringe projection profilometry: A comparative review

Real-time structured light profilometry: a review

We present an analysis of a spatial carrier-fringe pattern in three-dimensional (3-D) shape measurement by using the wavelet transform, a tool excelling for its multiresolution in the time- and space-frequency domains. To overcome the limitation of the Fourier transform, we introduce the Gabor wavelet to analyze the phase distributions of the spatial carrier-fringe pattern. The theory of wavelet transform profilometry, an accuracy check by means of a simulation, and an example of 3-D shape measurement are shown.

Spatial carrier-fringe pattern analysis by means of wavelet transform: wavelet transform profilometry

We describe a numerical reconstruction technique for digital holography by means of the two-dimensional Gabor wavelet transform (2D-GWT). Applying the 2D-GWT to digital holography, the object wave can be reconstructed by calculating the wavelet coefficients of the hologram at the peak of the 2D-GWT automatically. At the same time the effect of the zero-order diffraction image and the twin image are eliminated without spatial filtering. Comparing the numerical reconstruction of a holographic image by the analysis of the one-dimensional Gabor wavelet transform (1D-GWT) with the 2D-GWT, we show that the 2D-GWT method is superior to the 1D-GWT method, especially when the fringes of the hologram are not just along the y direction. The theory and the results of a simulation and experiments are shown.

Phase reconstruction of digital holography with the peak of the two-dimensional Gabor wavelet transform.

A technique called surface plasmon resonance digital holographic microscopy (SPRDHM) for optical imaging of cell membranes is proposed. The intensity and phase distributions of the reflected light that is modulated by the cell membrane in surface plasmon resonance can be simultaneously obtained. The imaging principle and capability are theoretically analyzed and demonstrated by experiments. In addition, the technique is compared with total internal reflection digital holographic microscopy (TIRDHM) in theory and experiment, respectively. The results show that the SPRDHM technique is better in spatial resolution and phase sensitivity than the TIRDHM technique for imaging of cell membranes.

https://www.spiedigitallibrary.org/journals/Journal-of-Biomedical-Optics/volume-15/issue-05/056015/Digital-holographic-microscopy-by-use-of-surface-plasmon-resonance-for/10.1117/1.3497564.pdf

Digital holographic microscopy by use of surface plasmon resonance for imaging of cell membranes

A reconstruction approach for digital holography by use of Gabor wavelet transform is described. The zero-order diffraction image and the twin-image are eliminated automatically without spatial filtering. The theory and experimental results are shown.

/pdf/reconstruction-of-digital-hologram-by-use-of-the-wavelet-3hkg3pizdz.pdf

Reconstruction of Digital Hologram by use of the Wavelet Transform

Understanding the evaporation behavior of droplets on a flat substrate is very important for applications of many areas.
In order to obtain quantitative three-dimensional imaging of droplet evaporation process, the dynamic digital holography
has been employed. The off-axis holograms are recorded by a camera and the object waves are numerical reconstructed.
The method can simultaneously provide an amplitude-contrast image and a quantitative phase-contrast image. The
theory of digital holography is introduced and the experiment of water droplet evaporation is presented.

Jiawen Weng

Papers

Spatial carrier-fringe pattern analysis by means of wavelet transform: wavelet transform profilometry

Phase reconstruction of digital holography with the peak of the two-dimensional Gabor wavelet transform.

Digital holographic microscopy by use of surface plasmon resonance for imaging of cell membranes

Reconstruction of Digital Hologram by use of the Wavelet Transform

Dynamic digital holography applied to three-dimensional imaging of droplet evaporation process