Quantised angular momentum vectors and projection angle distributions for discrete radon transformations

Authors:
Imants Svalbe;Shekhar Chandra;Andrew Kingston;Jean-Pierre Guédon
Affiliations:
School of Physics, Monash University, Australia;School of Physics, Monash University, Australia;IRCCyN-IVC, École polytechnique de l'Université de Nantes, France;IRCCyN-IVC, École polytechnique de l'Université de Nantes, France
Venue:
DGCI'06 Proceedings of the 13th international conference on Discrete Geometry for Computer Imagery
Year:
2006

Citing 6
Cited 0

Image Representation Via a Finite Radon Transform

IEEE Transactions on Pattern Analysis and Machine Intelligence
Sampling properties of the discrete radon transform

Discrete Applied Mathematics - The 2001 international workshop on combinatorial image analysis (IWCIA 2001)
Geometric Shape Effects in Redundant Keys used to Encrypt Data Transformed by Finite Discrete Radon Projections

DICTA '05 Proceedings of the Digital Image Computing on Techniques and Applications
Representation of Cyclic Colour Spaces within Quantum Space

DICTA '05 Proceedings of the Digital Image Computing on Techniques and Applications
On correcting the unevenness of angle distributions arising from integer ratios lying in restricted portions of the farey plane

IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
The mojette transform: the first ten years

DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery

Quantified Score

Hi-index	0.00

Visualization

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.