Shallow Applications of Geophysical Diffraction Tomography

Witten, Alan J.; Long, E.L.

doi:10.1109/tgrs.1986.289611

Cited by 37 publications

(8 citation statements)

References 11 publications

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“…Over the past 20 years, an alternative approach to the Inverse Scattering problem has been employed based on certain linearizing approximations [15], [18], [79], [80]. This approach has led to an expanded discipline within the regime of tomography, known as diffraction tomography (DT).…”

Section: Introductionmentioning

confidence: 99%

“…Since then, X-ray probes are typically used to determine the structure of crystals using reconstruction algorithms based on the Born scattering model and measurement of far field intensity distributions [23], [36]. Indeed, the foundation of modern linearized DT lies in the generalized projection-slice theorem of (1.2), which forms the core of X-ray crystal structure determination and the basis of Wolf's pioneering work in 1969 [79].…”

Section: Introductionmentioning

confidence: 99%

“…In [79], Wolf showed how near field measurements can be employed to generate reconstructions within the Born model. Wolf's formulation was extended in 1974 by Iwata and Nagata [27] to determine the structure of a less restrictive class of scatterers satisfying the Rytov rather than the Born approximation.…”

Section: Introductionmentioning

confidence: 99%

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Higher-order (nonlinear) diffraction tomography: reconstruction algorithms and computer simulation

Tsihrintzis

Devaney

2000

IEEE Trans. on Image Process.

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The usual propagation transform of diffraction tomography is generalized into higher-order (nonlinear) propagation transforms via use of the Born series as the data-generating model in scattering experiments. Nonlinear tomographic reconstruction algorithms are developed for inversion of scattered field data modeled up to an arbitrarily large (possibly infinite) number of terms in the Born series. A computer simulation study is included to illustrate the performance of the algorithms for the case of scattering objects with cylindrical symmetry.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Higher-order (nonlinear) diffraction tomography: reconstruction algorithms and computer simulation

Tsihrintzis

Devaney

2000

IEEE Trans. on Image Process.

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“…It must be high because, in principle, the resolution limit is about one wavelength (Witten & Long 1986). However, the higher the frequency, the larger the phase errors associated with the non-ideal geometry of the borehole B.…”

Section: The Simulationmentioning

confidence: 99%

Mapping subsurface fractures by radio-frequency holography: a simulation

Lorrain

1991

Geophysical Journal International

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SUMMARY A computer simulation shows that radio‐frequency holography could probably be used for mapping fractures in otherwise fairly homogeneous low‐conductivity rock or salt. According to in situ measurements of the attenuation of electromagnetic waves in a variety of media, and according to our simulation, it should be possible to image fractures up to distances of 150 or 200 m, with a good resolution. One application is the selection of sites suitable for the storage of radioactive waste. Another is the prediction of earthquakes. Our simulation involves image reconstruction by Fourier optics, from noisy synthetic data that we assume to be taken down a single deep borehole. The computer code is available from the author.

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“…This approach has led to an expanded discipline within the regime of tomography, known as Diffraction Tomography (DT), which has reached today the stage of building prototype commercial tomographic scanners for biomedical [17,18,29,28,19,27,30,32] and underground [35,37,25,36,34,33] imaging systems based on the algorithms of the linearized version of the IS problem. Despite the success of the linearized algorithms in several practical applications, their success depends critically on the two assumptions of linearity and availablity of multiple experiments.…”

Section: Introductionmentioning

confidence: 99%

Estimation of object location from short pulse scatter data

Tsihrintzis¹,

Devaney²,

Heyman

1998

SPIE Proceedings

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We present an efficient algorithm for computation of the maximum likelihood estimate of the location of a known target from short pulse scatter data measured in a suite of tomographic experiments. The algorithm consists of a three step procedure: (i) data filtering, (ii) time-domain backpropagation, and (iii) coherent summation and employs of a number of forward and inverse Radon transforms integrated in a tomographic scheme. A computer simulation is included for illustration purposes.

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Shallow Applications of Geophysical Diffraction Tomography

Cited by 37 publications

References 11 publications

Higher-order (nonlinear) diffraction tomography: reconstruction algorithms and computer simulation

Higher-order (nonlinear) diffraction tomography: reconstruction algorithms and computer simulation

Mapping subsurface fractures by radio-frequency holography: a simulation

Estimation of object location from short pulse scatter data

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