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Proceedings, 2013
The seismic data in the circumstance of anisotropic medium formation or large offset, even if using the high resolution of the hyperbolic Radon transformation, the energy of the Radon domain is still not convergent. In order to overcome this problem, the influence of anisotropic parameters is considered in the integral path of Radon transform.
X. Gong, Q. Lv, L. Han
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The seismic data in the circumstance of anisotropic medium formation or large offset, even if using the high resolution of the hyperbolic Radon transformation, the energy of the Radon domain is still not convergent. In order to overcome this problem, the influence of anisotropic parameters is considered in the integral path of Radon transform.
X. Gong, Q. Lv, L. Han
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SIAM Journal on Applied Mathematics, 1992
The interior Radon transform arises from a limited data problem in computerized tomography when only rays traveling through a specified region of interest are measured. This problem occurs due to technical restrictions of the sampling apparatus or in an endeavor to reduce the \(X\)-ray dose.
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The interior Radon transform arises from a limited data problem in computerized tomography when only rays traveling through a specified region of interest are measured. This problem occurs due to technical restrictions of the sampling apparatus or in an endeavor to reduce the \(X\)-ray dose.
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Hough Transform from the Radon Transform
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1981An appropriate special case of a transform developed by J. Radon in 1917 is shown to have the major properties of the Hough transform which is useful for finding line segments in digital pictures. Such an observation may be useful in further efforts to generalize the Hough transform.
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Generalized Radon Transformations
1981In 1917 J. Radon published a paper “Uber die Bestimmung von Funktionen durch ihre Integralwerte langs gewisser Mannigfaltigkeiten”. In this paper [19] J. Radon solved the following problem: It is to determine a continuous integrable function f: ℝ2→ ℝ (satisfying some additional “regularity conditions”) from the given values of the integral of this ...
Günter Fritz, Ulrich G. Oppel
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The polynomial discrete Radon transform
Signal, Image and Video Processing, 2014This paper presents a new approach called polynomial discrete Radon transform (PDRT), regarded as a generalization of the classical finite discrete Radon transform. Specifically, the PDRT transforms an image into Radon space by summing the pixels according to polynomial curves. The PDRT can be applied on square
Elouedi, I. +3 more
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1987
The perception of radiation hazards in society must be completely re-evaluated as a result of the recent realization that radon represents the largest source of natural background radiation to the U.S. population (1). Studies designed to identify a link between lung cancer and radon in the home, by seeking a correlation between lung cancer incidence ...
Eric J. Hall +2 more
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The perception of radiation hazards in society must be completely re-evaluated as a result of the recent realization that radon represents the largest source of natural background radiation to the U.S. population (1). Studies designed to identify a link between lung cancer and radon in the home, by seeking a correlation between lung cancer incidence ...
Eric J. Hall +2 more
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1997
Das Problem, aus Projektionen eines Objektes das Objekt selbst zu rekonstruieren, tauchte zuerst in der Radioastronomie auf, als man etwa 1950 dazu uberging, die Auflosung eines Teleskopes statt durch immer grosere Spiegel durch eine Kopplung vieler Teleskope zu erhohen.
Thomas Lehmann +3 more
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Das Problem, aus Projektionen eines Objektes das Objekt selbst zu rekonstruieren, tauchte zuerst in der Radioastronomie auf, als man etwa 1950 dazu uberging, die Auflosung eines Teleskopes statt durch immer grosere Spiegel durch eine Kopplung vieler Teleskope zu erhohen.
Thomas Lehmann +3 more
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Radon Transform on Sobolev Spaces
Siberian Mathematical Journal, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Radon transform and bandwidth compression
Optics Letters, 1983A bandwidth-compression scheme for two-dimensional data is presented that incorporates the Radon transform. There are three advantages to this approach: only one-dimensional operations are required, the dynamic range requirements of the compression are reduced by a filtering step associated with the inverse Radon transform, and the technique is readily
W E, Smith, H H, Barrett
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GEOPHYSICS, 2017
The Radon transform (RT) plays an important role in seismic data processing for its ability to focus seismic events in the transform domain. The band-limited nature of seismic events due to the blurring effects of the source wavelet, however, causes a decrease in the temporal resolution of the transform.
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The Radon transform (RT) plays an important role in seismic data processing for its ability to focus seismic events in the transform domain. The band-limited nature of seismic events due to the blurring effects of the source wavelet, however, causes a decrease in the temporal resolution of the transform.
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