A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging. Philadelphia, PA: SIAM, 2001. Home/Search Document Not in Database Summary Related Articles Check |
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Nonuniform Fast Fourier Transforms Using Min-Max Interpolation - Fessler, Sutton (2003) (5 citations) (Correct)
....errors on the order of 10 9 with the KaiserBessel kernel, so even subtle departures in the kernel shape may drastically affect the interpolation error. VI. 2D EXAMPLE To illustrate the accuracy of the NUFFT method in a practical context, we considered the classical 128 128 Shepp Logan image [62, 63]. We generated 10000 random frequency locations (# m s) in ( #,#) #,#) and computed the 2D FT exactly (to within double precision in Matlab) and with the min max 2D NUFFT method with J =6and K N =2. The relative percent error maxm X(#m ) X(#m ) maxm X(#m ) 100 was less than 0.14 ....
A. C. Kak and M. Slaney, Principles of computerized tomographic imaging, IEEE Press, New York, 1988.
Tomographic Reconstruction using Information-Weighted Spline.. - Fessler (2002) (1 citation) (Correct)
....improvements in the tradeoffs between bias and variance. I. INTRODUCTION The CBP method for tomographic reconstruction is derived from a mathematical idealization of tomographic imaging without consideration of statistical measurement errors. This idealization leads to the well known ramp filter [1], whose frequency response has the unfortunate effect of amplifying high frequency measurement noise. The conventional approach to reducing the effects of measurement noise is to apodize the ramp filter with a window function that attenuates the high frequencies [1] This windowing is equivalent ....
....to the well known ramp filter [1] whose frequency response has the unfortunate effect of amplifying high frequency measurement noise. The conventional approach to reducing the effects of measurement noise is to apodize the ramp filter with a window function that attenuates the high frequencies [1]. This windowing is equivalent to radially smoothing the projection measurements with a spatially invariant low pass filter. In high resolution tomographs, such as positron emission tomography (PET) systems based on block detectors, large variations in detector efficiency lead to nonstationary ....
A C Kak and M Slaney. Principles of computerized tomographic imaging. IEEE Press, New York, 1988.
Three-Dimensional Reconstruction of Fire from Images - Hasinoff (2002) (1 citation) (Correct)
....to account for attenuation, can be interpreted as proportional to the mass along the corresponding rays between the source of the radiation and the detector. Tomography is de ned as the reconstruction of sectional slices of an object from such image measurements taken from di erent orientations [60]. The applications of CT are far reaching and diverse, including medical imaging, airport security, and non destructive testing in manufacturing. The tomographic imaging process can be described mathematically by a parallel projection known as the Radon transform (Figure 4.1) The mass density ....
....and its projections. Speci cally, the theorem says that the 1D Fourier transform of a projection is equivalent to a (linear) slice of the 2D Fourier transform of the object. Moreover, this slice will pass through the origin and lie in a direction perpendicular to the direction of projection [60]. In the case of continuous images and an unlimited number views, the Fourier slice theorem can, in theory, be applied directly to obtain a perfect reconstruction. Each projection can be backprojected onto the 2D Fourier domain by means of the Fourier slice theorem, and the original object can ....
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A. C. Kak and M. Slaney. Principles of Computerized Tomographic Imaging. IEEE Press, New York, 1988.
Regularized Approach in 3D Helical Computed Tomography - Allain, Goussard, Idler (2002) (Correct)
....it is shown that under standard assumptions, can be given a simple structural form. A. Model in helical tomography In planar geometry, it is commonly assumed that the projection data are linked to the object through a sparse linear operator W which approximates a 2D discrete Radon transform [2]. Then: a given projection at angle y corresponds to a submatrix Wj extracted from W. We now extend this standard projection model to 3D spiral geometry. Let f = f RL ff and (XYZ) respectively de note the 3D scene with K voxel slices and an axis system where OZ is the axis of the scanner. Oi R ....
A. C. Kak and NL Sishey, Principles of Computerized Tomographic Imaging, IEEE Press, New York, NY, 1988.
IEEE TRANSACTIONS ON MEDICAL IMAGING, VOL. 21, NO. 11.. - Using Nonuniform Fft (Correct)
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A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging. Philadelphia, PA: SIAM, 2001.
Assessment, Validation, and Visualisation of Bony.. - Wollny, Kruggel.. (2004) (Correct)
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A. C. Kak and M. Slaney. Principles of Computerized Tomographic Imaging. Society of Industrial and Applied Mathematics, Philadelphia (PA), 2001.
Reconstruction in Diffraction Ultrasound.. - Bronstein.. (2002) (Correct)
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A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging. Philadelphia, PA: SIAM, 2001.
Reconstruction in Diffraction Ultrasound.. - Bronstein.. (2002) (Correct)
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A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging. Philadelphia, PA: SIAM, 2001.
Image-Based Tomographic Reconstruction of Flames - Ihrke, Magnor (2004) (Correct)
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KAK A. C., SLANLEY M.: Principles of Computerized Tomographic Imaging. Society of Industrial and Applied Mathematics, 2001. 2
Discretization of the Radon Transform and of its Inverse .. - Horbelt, Liebling, Unser (2002) (Correct)
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A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging, 1988.
Photo-Consistent 3D Fire by Flame-Sheet Decomposition - Hasinoff, Kutulakos (2003) (Correct)
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A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging. New York: IEEE Press, 1988.
Photo-Consistent 3D Fire by Flame-Sheet Decomposition - Hasinoff, Kutulakos (2003) (Correct)
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A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging. New York: IEEE Press, 1988.
Three-Dimensional Edge-Preserving Image Enhancement.. - Villain, Goussard.. (2003) (Correct)
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A. Kak and M. Slaney, Principles of Computerized Tomographic Imaging. New York: IEEE Press, 1987.
Frequency Domain Volume Rendering by the Wavelet X-ray.. - Westenberg, Roerdink (2000) (Correct)
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A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging, IEEE Press, New York, 1988.
Spect Image Reconstruction Using Compound Models - Lopez, Molina, Katsaggelos.. (2001) (Correct)
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A. C. Kak and M. Slaney, Principles of computerized tomographic imaging, IEEE Press, 1988. (a) Original image (b) Sinogram (c) CAR reconstruction (d) GGMRF reconstruction Fig. 2. Results with a synthetic image.
Data-Parallel Tomographic Reconstruction: a Comparison of.. - Roerdink, Westenberg (1998) (Correct)
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A.C. Kak and M. Slaney. Principles of Computerized Tomographic Imaging. IEEE Press, New York, 1988.
Three-Dimensional Reconstruction of Fire from Images - Hasinoff (2002) (1 citation) (Correct)
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A. C. Kak and M. Slaney. Principles of Computerized Tomographic Imaging. IEEE Press, New York, 1988.
Advances in Cone Beam Tomography - Kuchi (Correct)
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A. C. Kak and M. Slaney. Principles of computerized tomographic imaging. IEEE Press, 1988.
X-Ray Volume Rendering by Hierarchical Wavelet Splatting - Westenberg, Roerdink (Correct)
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A. C. Kak and M. Slaney. Principles of Computerized Tomographic Imaging. IEEE Press, New York, 1988.
An Extension of Fourier-Wavelet Volume Rendering by View.. - Westenberg, Roerdink (2001) (Correct)
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Kak, A. C. and M. Slaney: 1988, Principles of Computerized Tomographic Imaging. New York: IEEE Press.
A new algorithm for 2D Region of Interest Tomography - Van Gompel Tisson (Correct)
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A.Kak and M. Slaney. Principles of Computerized Tomographic Imaging. SIAM, 2001
X-Ray Metrology for Quality Assurance - Noble, Hartley, Mundy, Farley (Correct)
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A.C. Kak and M. Slaney. Principles of Computerized Tomographic Imaging. IEEE Press, New York NY, 1988.
Bayesian Approach for Inverse Problems in Optical Coherent.. - Mohammad-Djafari (Correct)
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A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging. New York, ny: ieee Press, 1987.
Sampling In Parallel-Beam Tomography - Adel Faridani Dept (1998) (Correct)
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A. C. Kak and M. Slaney. " Principles of Computerized Tomographic Imaging," IEEE Press, New York (1988).
SPECT Image Reconstruction Using Compound Prior Models - Lopez, Molina, Mateos.. (2002) (Correct)
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A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging, IEEE Press, 1988.
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