Moiré interferogram phase extraction: a ridge detection algorithm for continuous wavelet transforms.

Statistical phase-shifting step estimation algorithm based on the continuous wavelet transform for high-resolution interferometry metrology.

We propose a statistical phase-shifting estimation algorithm for temporal phase-shifting interferometry (PSI) based on the continuous wavelet transform (CWT). The proposed algorithm explores spatial information redundancy in the intraframe interferogram dataset using the phase recovery property on the power ridge of the CWT. Despite the errors introduced by the noise of the interferogram, the s...

Optical phase extraction algorithm based on the continuous wavelet and the Hilbert transforms

In this paper we present an algorithm for optical phase evaluation based on the wavelet transform technique. The main advantage of this method is that it requires only one fringe pattern. This algorithm is based on the use of a sًecond /2 phase shifted fringe pattern where it is calculated via the Hilbert transform. To test its validity, the algorithm was used to demodulate a simulated fringe p...

Ridge extraction algorithms for one-dimensional continuous wavelet transform: a comparison

Fixing of Cycle Slips in Dual-Frequency GPS Phase Observables using Discrete Wavelet Transforms

The occurrence of cycle slips is a major limiting factor for achievement of sub-decimeter accuracy in positioning with GPS (Global Positioning System). In the past, several authors introduced a method based on different combinations of GPS data together with Kalman filter to solve the problem of the cycle slips. In this paper the same philosophy is used but with discrete wavelet transforms. For...

One-shot Three-dimensional Surface Profilometry Using Dmd-based Two-frequency Moiré and Fourier Transform Technique

This article presents an optical measurement method for acquiring rapidly accurate geometric 3-D surface morphology of objects. To achieve high-speed profilometry and avoid disturbance due to in-field vibration, one-shot Fourier transform profilometry (FTP) using twowavelength digital moiré pattern was developed to detect the morphology of the measured object at a speed of up to 60 frames or mo...