Quantised Angular Momentum Vectors and Projection Angle Distributions for Discrete Radon Transformations
Identifieur interne : 009916 ( Main/Exploration ); précédent : 009915; suivant : 009917Quantised Angular Momentum Vectors and Projection Angle Distributions for Discrete Radon Transformations
Auteurs : Imants Svalbe [Australie] ; Shekhar Chandra [Australie] ; Andrew Kingston [France] ; Jean-Pierre Guédon [France]Source :
- Lecture Notes in Computer Science [ 0302-9743 ] ; 2006.
Descripteurs français
- Pascal (Inist)
- Wicri :
- topic : Conférence internationale.
English descriptors
- KwdEn :
- Amplitude modulation, Angle distribution, Angle sets, Angular momentum, Angular momentum vector, Atomic case, Computer imagery, Degeneracy, Digital, Digital angle, Digital angles, Digital images, Discrete angles, Discrete array, Discrete distribution, Discrete geometry, Discrete transformation, Farey, Farey angle, Farey angles, Farey fractions, Farey series, Farey sets, Finite radon, Grid, Half integer, Image processing, Image reconstruction, Integer, Integer ratios, Integer values, International conference, International society, Katz criterion, Linear momentum, Maximum angle, Minimum angle, Mojette, Momentum vector, Momentum vectors, Monash university, Nite radon, Number theory, Optical engineering, Prime size, Projection, Projection angle distributions, Quantised, Quantum mechanics, Quantum physics, Radon, Radon transformation, Reconstruction algorithms, Redundant angles, Smooth decrease, Svalbe, Total number.
- Teeft :
- Angle distribution, Angle sets, Angular momentum, Angular momentum vector, Atomic case, Computer imagery, Degeneracy, Digital, Digital angle, Digital angles, Digital images, Discrete angles, Discrete array, Farey, Farey angle, Farey angles, Farey fractions, Farey series, Farey sets, Finite radon, Half integer, Integer, Integer ratios, Integer values, International conference, International society, Katz criterion, Linear momentum, Maximum angle, Minimum angle, Mojette, Momentum vector, Momentum vectors, Monash university, Nite radon, Optical engineering, Prime size, Projection, Projection angle distributions, Quantised, Quantum mechanics, Quantum physics, Radon, Reconstruction algorithms, Redundant angles, Smooth decrease, Svalbe, Total number.
Abstract
Abstract: A quantum mechanics based method is presented to generate sets of digital angles that may be well suited to describe projections on discrete grids. The resulting angle sets are an alternative to those derived using the Farey fractions from number theory. The Farey angles arise naturally through the definitions of the Mojette and Finite Radon Transforms. Often a subset of the Farey angles needs to be selected when reconstructing images from a limited number of views. The digital angles that result from the quantisation of angular momentum (QAM) vectors may provide an alternative way to select angle subsets. This paper seeks first to identify the important properties of digital angles sets and second to demonstrate that the QAM vectors are indeed a candidate set that fulfils these requirements. Of particular note is the rare occurrence of degeneracy in the QAM angles, particularly for the half-integral angular momenta angle sets.
Url:
DOI: 10.1007/11907350_12
Affiliations:
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xml:lang="fr"><term>Conférence internationale</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: A quantum mechanics based method is presented to generate sets of digital angles that may be well suited to describe projections on discrete grids. The resulting angle sets are an alternative to those derived using the Farey fractions from number theory. The Farey angles arise naturally through the definitions of the Mojette and Finite Radon Transforms. Often a subset of the Farey angles needs to be selected when reconstructing images from a limited number of views. The digital angles that result from the quantisation of angular momentum (QAM) vectors may provide an alternative way to select angle subsets. This paper seeks first to identify the important properties of digital angles sets and second to demonstrate that the QAM vectors are indeed a candidate set that fulfils these requirements. Of particular note is the rare occurrence of degeneracy in the QAM angles, particularly for the half-integral angular momenta angle sets.</div></front></TEI><affiliations><list><country><li>Australie</li><li>France</li></country><region><li>Pays de la Loire</li></region><settlement><li>Nantes</li></settlement><orgName><li>Université de Nantes</li></orgName></list><tree><country name="Australie"><noRegion><name sortKey="Svalbe, Imants" sort="Svalbe, Imants" uniqKey="Svalbe I" first="Imants" last="Svalbe">Imants Svalbe</name></noRegion><name sortKey="Chandra, Shekhar" sort="Chandra, Shekhar" uniqKey="Chandra S" first="Shekhar" last="Chandra">Shekhar Chandra</name></country><country name="France"><region name="Pays de la Loire"><name sortKey="Kingston, Andrew" sort="Kingston, Andrew" uniqKey="Kingston A" first="Andrew" last="Kingston">Andrew Kingston</name></region><name sortKey="Guedon, Jean Pierre" sort="Guedon, Jean Pierre" uniqKey="Guedon J" first="Jean-Pierre" last="Guédon">Jean-Pierre Guédon</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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