Three-dimensional reconstruction from planar projections

Chiu, M. Y.; Barrett, Harrison H.; Simpson, R. G.

doi:10.1364/josa.70.000755

Cited by 52 publications

(9 citation statements)

References 10 publications

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“…This is just the 3D generalisation of filtered backprojection. It is analysed in detail by Chiu et al (1980). In the limit of infinite samples and views this becomes We shall first demonstrate that the intrinsic noise associated with the origin of the NMR signal is negligible in NMR imaging.…”

Section: Appendix 1 the Likelihood Function Approachmentioning

confidence: 94%

Unified SNR analysis of medical imaging systems

1985

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The ideal observer signal to noise ratio (SNR) has been derived from statistical decision theory for all of the major medical imaging modalities. This SNR provides an absolute scale for image system performance assessment and leads to instrumentation design goals and constraints for imaging system optimisation since no observer can surpass the performance of the ideal observer. The dependence of detectable detail size on exposure or imaging time follows immediately from the analysis. A framework emerges for comparing data acquisition techniques, e.g. reconstruction from projections versus Fourier methods in NMR imaging, and time of flight positron emission tomography (TOFPET) versus conventional PET. The approach of studying the ideal observer is motivated by measurements on human observers which show that they can come close to the performance of the idea) observer, except when the image noise has negative correlations-as in images reconstructed from projections-where they suffer a small but significant penalty.

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Section: Appendix 1 the Likelihood Function Approachmentioning

confidence: 94%

Unified SNR analysis of medical imaging systems

1985

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“…In the first process, projection images are recorded (in this report, synthesized using a computer for ease) with a color CCD scanning two-dimensionally and parts of the 3-D Fourier spectrum of objects are calculated in accordance with the principle of CT. 9 The Fourier components required to generate a CGH are extracted from the 3-D Fourier spectrum in the second process. Finally, a Fresnel hologram is synthesized from it directly.…”

Section: Theory Of This Methodsmentioning

confidence: 99%

Three-dimensional display of real existing objects using computer-generated holograms

2004

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In this report, computer-generated holograms(CGHs) synthesized from projection images of real existing objects are considered. A series of projection images are recorded both vertically and horizontally with an incoherent light source and a color CCD. According to the principles of computer tomography(CT), the 3-D Fourier spectrum is calculated from several projection images of objects and the Fresnel CGH is synthesized using a part of the 3-D Fourier spectrum. This method has following advantages. At first, no-blur reconstructed images in any direction are obtained owing to two-dimensionally scanning in recording. Secondarily, since not interference fringes but simple projection images of objects are recorded, a coherent light source is not necessary. Moreover, when a color CCD is used in recording, it is easily possible to record and reconstruct colorful objects. Finally, we demonstrate color reconstruction of objects both numerically and optically.

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“…1). The filtered planar (back) projection is simply the second derivative of the original planar projection [36]. This…”

Section: Quantum Polarization Tomographymentioning

confidence: 99%

Three-dimensional quantum polarization tomography of macroscopic Bell states

et al. 2012

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The polarization properties of macroscopic Bell states are characterized using three-dimensional quantum polarization tomography. This method utilizes three-dimensional inverse Radon transform to reconstruct the polarization quasiprobability distribution function of a state from the probability distributions measured for various Stokes observables. The reconstructed 3D distributions obtained for the macroscopic Bell states are compared with those obtained for a coherent state with the same mean photon number. The results demonstrate squeezing in one or more Stokes observables.

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Three-dimensional reconstruction from planar projections

Cited by 52 publications

References 10 publications

Unified SNR analysis of medical imaging systems

Unified SNR analysis of medical imaging systems

Three-dimensional display of real existing objects using computer-generated holograms

Three-dimensional quantum polarization tomography of macroscopic Bell states

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