By Topic

System and gram matrices of 3-D planogram data

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

3 Author(s)
Kazantsev, I.G. ; Dept. of Radiol., Univ. of Pennsylvania, Philadelphia, PA, USA ; Matej, S. ; Lewitt, R.M.

This paper addresses the topic of geometric voxel-based approaches to forward and inverse problems of image reconstruction from planogram data. We investigate 2- and 3-D (two-, three-dimensional) planar detector configurations for which we reduce complex geometrical calculations of Gram and system matrices to a series of simple transformations like shifts and parallel projections. We use a direct algebraic approach, or natural pixels approach in reconstruction. The approach needs precomputation and inversion of the Gram matrix with entries as volumes of intersection of two arbitrary natural pixels-strips or parallelepipeds. Numerical experiments with small-scale test data are presented.

Published in:

Nuclear Science, IEEE Transactions on  (Volume:51 ,  Issue: 5 )