Phase-measuring interferometry: new methods and error analysis

Joenathan, C.

doi:10.1364/ao.33.004147

Cited by 88 publications

(53 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An overview of possible algorithms for phase computation from interferograms was presented in Ref. 9 in the context of phase measurement interferometry.…”

Section: Related Workmentioning

confidence: 99%

Theoretical and experimental error analysis of continuous-wave time-of-flight range cameras

et al. 2009

View full text Add to dashboard Cite

We offer a formal investigation of the measurement principle of time-of-flight 3-D cameras using correlation of amplitude-modulated continuous-wave signals. These sensors can provide both depth maps and IR intensity pictures simultaneously and in real time. We examine the theory of the data acquisition in detail. The variance of the range measurements is derived in a concise way and we show that the computed range follows an offset normal distribution. The impact of quantization of that distribution is discussed. All theoretically investigated errors like the behavior of the variance, depth bias, saturation and quantization effects are supported by experimental results.

show abstract

“…An overview of possible algorithms for phase computation from interferograms was presented in Ref. 9 in the context of phase measurement interferometry.…”

Section: Related Workmentioning

confidence: 99%

Theoretical and experimental error analysis of continuous-wave time-of-flight range cameras

et al. 2009

View full text Add to dashboard Cite

show abstract

“…͑3͒-͑6͔͒, to emphasize the presence of the phase step error, two four-frame algorithms using the frame sequences ͑1,3,4,5͒ and ͑1,2,3,5͒ were added. 24 These algorithms are characterized by several times increased sensitivity with respect to the phase step error when calculating the interferogram phase distribution. The algorithms describing the intensity modulation distribution using the frames ͑1,3,4,5͒ and ͑1,2,3,5͒, denoted by 4N1 mod and 4N2 mod , are as follows:…”

Section: Interferogram Intensity Modulation Calculationmentioning

confidence: 99%

Interferogram intensity modulation calculations using temporal phase shifting: error analysis

Patorski

Styk

2006

Opt. Eng

View full text Add to dashboard Cite

The phase shifting method is an effective tool to determine the intensity modulation distribution of a two-beam interferogram. We present numerical studies of the influence of two experimental errors on the results obtained using temporal phase stepping, i.e., the phase step miscalibration and average intensity changes between the component interferograms. Experimental studies of vibration mode patterns by timeaverage interferometry provide excellent verification of numerical findings. Comparative analysis of interferogram contrast and intensity modulation determination is included.

show abstract

“…[8][9][10][11][12] However, the phase values obtained by these methods are lying in the range of Ϫ to . For recovering the object shape, absolute phase values ͑e.g., not restricted in the range of Ϫ to ͒ must be analyzed.…”

Section: Introductionmentioning

confidence: 99%

Absolute phase analysis method for three-dimensional surface profilometry using frequency-modulated grating

et al. 2003

View full text Add to dashboard Cite

The authors propose a new high-speed and accurate phase analysis and subsequent phase unwrapping method for grating projection surface profilometry. In the proposed method, a special grating pattern is used for the projection. The light intensity distribution of this grating pattern has a form of a frequency modulated sinusoidal wave. In this grating pattern, two different phase distributions are included. The frequency modulated grating, which can be generated with an LCD projector or a film projector easily, is projected onto an object. Then, nine frames with phase stepping at a regular interval for a cycle are taken by a CCD camera. From these nine pictures, the two wrapped phase distributions are analyzed simultaneously. Then, using these phase distributions, phase unwrapping is carried out at each pixel independently. The 3-D profile of the object can be reconstructed using the absolute phase distribution. Since this method is suitable for high-speed shape measurement, applications to various inspections and 3-D surface digitizing are expected.

show abstract

Phase-measuring interferometry: new methods and error analysis

Cited by 88 publications

References 6 publications

Theoretical and experimental error analysis of continuous-wave time-of-flight range cameras

Theoretical and experimental error analysis of continuous-wave time-of-flight range cameras

Interferogram intensity modulation calculations using temporal phase shifting: error analysis

Absolute phase analysis method for three-dimensional surface profilometry using frequency-modulated grating

Contact Info

Product

Resources

About