Derivation of the Point Spread Function from the Line Spread Function

Marchand, Erich W.

doi:10.1364/josa.54.000915

Cited by 70 publications

(39 citation statements)

References 6 publications

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“…The 2D PSF is measured in the scanner to use in Eq. 1; alternatively, the corresponding line spread function (LSF) is measured by assuming that the spatial resolution in the scan plane has a rotational symmetry, as assumed in previous studies [3,12,13,16,20], and that the 2D PSF is derived from the LSF [8,10,11]. The SSP is also measured before the 3D CT data set [I(x,y,z)] of an assumed object is computed using Eq.…”

Section: Simulation Of 3d Ct Image Blurringmentioning

confidence: 99%

“…In the current study, we measured LSFs and SSPs in a scanner and derived 2D PSFs from LSFs [8,10,11], as described in ''Measurement of PSF and SSP''. Computation using Eq.…”

Section: Simulation Of 3d Ct Image Blurringmentioning

confidence: 99%

“…This is particularly true in the case of a 2D PSF determined from images of a thin wire; however, the technique proposed by Boone [2], which uses a simple phantom, enables the accurate measurement of the LSF using a small sampling pitch. In addition, Boone's method is resilient to noise due to its great data averaging; therefore, we measured LSFs using Boone's method in the current study and derived 2D PSFs from LSFs by solving an integral equation [8,10]. We recently proposed an effective method for verifying LSF and PSF [11], and this method was used in the present study.…”

Section: Measurement Of Psf and Sspmentioning

confidence: 99%

“…The targeted reconstruction was performed to obtain the image of the aluminum sheet using three types of kernels (B20f, B40f, and B70f). Three types of LSFs were synthesized for the three kernels, and three types of 2D PSFs were derived from the corresponding LSFs [8,10,11].…”

Section: Measurement Of Psf and Sspmentioning

confidence: 99%

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Imaging of small spherical structures in CT: simulation study using measured point spread function

Ohkubo

Wada

Kunii

et al. 2007

Med Biol Eng Comput

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Size and density measurements of objects undertaken using computed tomography (CT) are clinically significant for diagnosis. To evaluate the accuracy of these quantifications, we simulated three-dimensional (3D) CT image blurring; this involved the calculation of the convolution of the 3D object function with the measured 3D point spread function (PSF). We initially validated the simulation technique by performing a phantom experiment. Blurred computed images showed good 3D agreement with measured images of the phantom. We used this technique to compute the 3D blurred images from the object functions, in which functions are determined to have the shape of an ideal sphere of varying diameter and assume solitary pulmonary nodules with a uniform density. The accuracy of diameter and density measurements was determined. We conclude that the proposed simulation technique enables us to estimate the image blurring precisely of any 3D structure and to analyze clinical images quantitatively.

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Section: Simulation Of 3d Ct Image Blurringmentioning

confidence: 99%

“…In the current study, we measured LSFs and SSPs in a scanner and derived 2D PSFs from LSFs [8,10,11], as described in ''Measurement of PSF and SSP''. Computation using Eq.…”

Section: Simulation Of 3d Ct Image Blurringmentioning

confidence: 99%

Section: Measurement Of Psf and Sspmentioning

confidence: 99%

Section: Measurement Of Psf and Sspmentioning

confidence: 99%

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Imaging of small spherical structures in CT: simulation study using measured point spread function

Ohkubo

Wada

Kunii

et al. 2007

Med Biol Eng Comput

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“…Moreover the LSF characterization gives an alternative procedure in which the edge spread function ͑ESF͒ or edge trace of the system is directly derived. When the research of Marchand is used, 3,4 the reciprocity between the LSF and modulation transfer function ͑MTF͒ of the system establishes the characterization of the ESF as a Fourier transform of the LSF. This gives a systematic procedure that could be applied to edgeimaging quality assessment and its influence on optical instrumentation.…”

Section: Introductionmentioning

confidence: 99%

Line spread function formulation proposed by W H Steel: a revision

et al. 1997

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Thermal wave propagation in thin films on substrate: the time‐harmonic thermal transfer function

Straube

Breitenstein

Wagner

2011

Physica Status Solidi (b)

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We present an analytical description of thermal wave propagation for cylindrical symmetry based on a transfer function concept which is analogous to optics. This concept leads to a general criterion for the spatial resolution and to computational benefits. It is applied to a medium consisting of a thermally thin layer of highly heat conductive material on a finite substrate. The result is then specialized to the two cases of highly heat conductive layer on quasi-infinite substrate and finite substrate with no additional layer. This completes the theory of heat propagation between the thermally thick and thermally thin cases. We encounter the mathematical necessity to revise the definition of the latter terms, taking into account the lateral modulation of the thermal signal. The derived expressions are verified experimentally using infrared lock-in thermography.

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Derivation of the Point Spread Function from the Line Spread Function

Cited by 70 publications

References 6 publications

Imaging of small spherical structures in CT: simulation study using measured point spread function

Imaging of small spherical structures in CT: simulation study using measured point spread function

Line spread function formulation proposed by W H Steel: a revision

Thermal wave propagation in thin films on substrate: the time‐harmonic thermal transfer function

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