Projects per year
Abstract
Discrete delta functions define the limits of attainable spatial resolution for all imaging systems. Here we construct broad, multidimensional discrete functions that replicate closely the action of a Dirac delta function for convolution under aperiodic boundary conditions. These arrays spread the energy of a sharp probe beam to simultaneously sample multiple points across the volume of a large object, without losing image sharpness. Applying these pointspread functions in any computational imaging system can reveal the underlying structure of objects less intrusively and with equal or better signaltonoise ratio. These multidimensional arrays are related to previously known, but relatively rarely employed, onedimensional integer Huffman sequences. Practical probes can now be made that are larger than the object under measure. Such arrays can be applied to ghost imaging, which has demonstrated potential to greatly improve signaltonoise ratios and reduce the total dose required for tomographic imaging. The discrete arrays built here parallel the selfadjoint or Hermitian functions of the continuum that underpin classical wave theory and quantum mechanics.
Original language  English 

Pages (fromto)  12581271 
Number of pages  14 
Journal  IEEE Transactions on Computational Imaging 
Volume  6 
DOIs  
Publication status  Published  2020 
Projects
 2 Finished

Probing nanoscale disorder in 3D with xray freeelectron lasers
Martin, A. V., Petersen, T., Darmanin, C., Greaves, T., bernsten, P. & carleman, C.
19/04/19 → 18/04/22
Project: Research

Nanoscale field mapping in functional materials
Findlay, S., Morgan, M., Paganin, D., Petersen, T. & Shibata, N.
Australian Research Council (ARC), Monash University, University of Tokyo
26/05/16 → 2/12/21
Project: Research
Equipment

Centre for Electron Microscopy (MCEM)
Flame Sorrell (Manager) & Peter Miller (Manager)
Office of the ViceProvost (Research and Research Infrastructure)Facility/equipment: Facility