Image resolution limits resulting from mechanical vibrations. Part III:numerical calculation of modulation transfer function

Hadar, Ofer

doi:10.1117/12.56084

Cited by 58 publications

(29 citation statements)

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“…Average MTFs for low-frequency sinusoidal motion with random initial phase (relative to the start of the exposure) and for lowfrequency motion with a range of amplitudes are also computed in Ref. 12. The OTF for sinusoidal image motion is computed in Ref.…”

Section: Historical Literature Surveymentioning

confidence: 99%

“…A numerical method to compute the MTF from arbitrary motion data is presented in Ref. 12, and MTFs are computed numerically for linear motion and for high-and low-frequency sinusoidal motion. Average MTFs for low-frequency sinusoidal motion with random initial phase (relative to the start of the exposure) and for lowfrequency motion with a range of amplitudes are also computed in Ref.…”

Section: Historical Literature Surveymentioning

confidence: 99%

“…Various authors [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] have analyzed the effect of image motion on the performance of optical systems. The OTF has been studied analytically and numerically for specific motions such as uniform linear motion, accelerated motion, lowfrequency sinusoidal motion with period greater than the exposure interval and with various initial phase angles, high-frequency sinusoidal motion with period less than the exposure interval, and white Gaussian random motion (jitter).…”

Section: Historical Literature Surveymentioning

confidence: 99%

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Optical transfer functions, weighting functions, and metrics for images with two-dimensional line-of-sight motion

Pittelkau¹,

McKinley²

2016

Opt. Eng

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Abstract. We define the displacement, smear, and jitter components of image motion and derive the two-dimensional statistical image motion optical transfer function (OTF) corresponding to each component. These statistical OTFs are parameterized by means and covariances, which are computed most conveniently from a weighted power spectrum of the line-of-sight motion. Another feature of these results is the realization that all temporal and spatial frequencies contribute to each statistical OTF and that one can determine the frequencies that contribute most significantly to each OTF. Additionally, optical system design is typically based upon the properties of an individual image. In a comprehensive optical system design, the statistical properties of an ensemble of images should also be considered. For individual images subject to a constant but possibly unknown smear length, the OTF is a sinc function. This is called a deterministic smear OTF because it does not describe the smear statistically. The statistical smear OTF describes the average smear OTF for an ensemble of images. © The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

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Section: Historical Literature Surveymentioning

confidence: 99%

Section: Historical Literature Surveymentioning

confidence: 99%

Section: Historical Literature Surveymentioning

confidence: 99%

See 1 more Smart Citation

Optical transfer functions, weighting functions, and metrics for images with two-dimensional line-of-sight motion

Pittelkau¹,

McKinley²

2016

Opt. Eng

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show abstract

“…Analytical MTF expressions were established only for simple kinds of motion such as linear motion and high frequency vibration whose frequency is integral times the detector exposure frequency [5][6][7]. A MTF expression for low frequency vibration was approximated by a sinc function, regarding square root of the average central second moment during exposure time as constant velocity motion [8].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Modulation Transfer Function Analysis of Images Blurred by Sinusoidal Vibration

Ding

et al. 2016

Journal of the Optical Society of Korea

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The dynamic modulation transfer function (MTF) for image degradation caused by sinusoidal vibration is formulated based on a Bessel function of the first kind. The presented method makes it possible to obtain an analytical MTF expression derived for arbitrary frequency sinusoidal vibration. The error obtained by the use of finite order sum approximations instead of infinite sums is investigated in detail. Dynamic MTF exhibits a stronger random behavior for low frequency vibration than high frequency vibration. The calculated MTFs agree well with the measured MTFs with the slant edge method in imaging experiments. With the proposed formula, allowable amplitudes of any frequency vibration are easily calculated. This is practical for the analysis and design of the line-of-sight stabilization system in the remote sensing camera.

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“…Extensive research has been done regarding the point spread function (PSF) [or its Fourier transform, the optical transfer function (OTF)] of motion. [1][2][3][4][5][6][7][8][9][10] Nevertheless, the effects of the motion on the OTF of the optics have been treated separately from that of the optics itself. According to the traditional system OTF approach, 3 on its course from the object plane to the image plane, the optical wavefront may go through several disturbing media or processes (such as an atmospheric path, motion, optics, imager, etc.).…”

Section: Introductionmentioning

confidence: 99%

Angular motion point spread function model considering aberrations and defocus effects

Klapp

Yitzhaky

2006

J. Opt. Soc. Am. A

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(Doc. ID 64203) When motion blur is considered, the optics point spread function (PSF) is conventionally assumed to be fixed, and therefore cascading of the motion optical transfer function (OTF) with the optics OTF is allowed. However, in angular motion conditions, the image is distorted by space-variant effects of wavefront aberrations, defocus, and motion blur. The proposed model considers these effects and formulates a combined space-variant PSF obtained from the angle-dependent optics PSF and the motion PSF that acts as a weighting function. Results of comparison of the new angular-motion-dependent PSF and the traditional PSF show significant differences. To simplify the proposed model, an efficient approximation is suggested and evaluated.

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Image resolution limits resulting from mechanical vibrations. Part III:numerical calculation of modulation transfer function

Cited by 58 publications

References 0 publications

Optical transfer functions, weighting functions, and metrics for images with two-dimensional line-of-sight motion

Optical transfer functions, weighting functions, and metrics for images with two-dimensional line-of-sight motion

Dynamic Modulation Transfer Function Analysis of Images Blurred by Sinusoidal Vibration

Angular motion point spread function model considering aberrations and defocus effects

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