Efficient tensor tomography in fan-beam coordinates
نویسندگان
چکیده
منابع مشابه
Multiresolution reconstruction in fan-beam tomography
In this paper, a new multiresolution reconstruction approach for fan-beam tomography is established. The theoretical development assumes radial wavelets. An approximate reconstruction formula based on a near-radial quincunx multiresolution scheme is proposed. This multiresolution algorithm allows to compute both the quincunx approximation and detail coefficients of an image from its fan-beam pr...
متن کاملMultiple Fan-Beam Optical Tomography: Modelling Techniques
This paper explains in detail the solution to the forward and inverse problem faced in this research. In the forward problem section, the projection geometry and the sensor modelling are discussed. The dimensions, distributions and arrangements of the optical fibre sensors are determined based on the real hardware constructed and these are explained in the projection geometry section. The gener...
متن کاملNumerical and theoretical explorations in helical and fan-beam tomography
Katsevich’s inversion formula for helical tomography is explored in the limit of vanishing pitch, yielding a general reconstruction formula for fan-beam tomography. The relationship of this formula to other formulas in the literature is explored and a rigorous proof of a rebinning formula relating parallel-beam and fan-beam tomography is given. For the case of curved detector coordinates severa...
متن کاملQuadratic Regularization Design for Fan Beam Transmission Tomography
Statistical methods for tomographic image reconstruction have shown considerable potential for improving image quality in X-ray CT. Penalized-likelihood (PL) image reconstruction methods require maximizing an objective function that is based on the log-likelihood of the sinogram measurements and on a roughness penalty function to control noise. In transmission tomography, PL methods (and MAP me...
متن کاملSolid/Gas Concentration Measurements Using Multiple Fan Beam Optical Tomography
The application of optical sensors in process tomography involves using non-intrusive sensors to obtain vital information in order to produce images from the dynamic characteristics of a process system. Multiple fan beam projection technique here is defined as allowing more than one emitter to transmit light at the same time using the switch-mode fan beam method. For the thirty-two pairs of sen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Inverse Problems and Imaging
سال: 2016
ISSN: 1930-8337
DOI: 10.3934/ipi.2016007