منابع مشابه
Image Representation Via a Finite Radon Transform
{ This paper presents a model of nite Radon transforms composed of Radon projections. The model generalizes to nite groups projections in the classical Radon transform theory. The Radon projector averages a function on a group over cosets of a subgroup. Reconstruction formulae formally similar to the convolved backprojection ones are derived and an iterative reconstruction technique is found to...
متن کاملRADON TRANSFORM ON FINITE SYMMETRIC SPACESElinor
The Radon transform belongs to the area of Inverse Problems. The reconstruction of a function from its projection or averages is a central point of study. Besides having direct applications in medical tomography, geophysics, there are also applications in signal processing, statistics and probability. Hence, it is useful to consider discretized versions of the Radon transform.
متن کاملQuantum imaging of high-dimensional Hilbert spaces with Radon transform
High-dimensional Hilbert spaces possess large information encoding and transmission capabilities. Characterizing exactly the real potential of high-dimensional entangled systems is a cornerstone of tomography and quantum imaging. The accuracy of the measurement apparatus and devices used in quantum imaging is physically limited, which allows no further improvements to be made. To extend the pos...
متن کاملQuantum mechanics in finite dimensional Hilbert space
The quantum mechanical formalism for position and momentum of a particle in a one dimensional cyclic lattice is constructively developed. Some mathematical features characteristic of the finite dimensional Hilbert space are compared with the infinite dimensional case. The construction of an unbiased basis for state determination is discussed.
متن کاملRobust Curve Detection Using a Radon Transform in Orientation Space
We present a novel approach to parameterised curve detection. The method is based on the generalised Radon transform, which is traditionally applied to a 2D edge/line map. The novelty of our method is the mapping of the original 2D image to a 3D orientation space, which then forms the input for the Radon transform. The orientation space representation can represent multiple intersecting structu...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2012
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/98/10001