Imants Svalbe

Dr

Accepting PhD Students

1978 …2018
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Personal profile

Biography

Imants works in the School of Physics at Monash University as a Senior Lecturer


Imants' research areas of interest are:

  • Imants' current research currently concerns discrete projections. These techniques are used, for example, in medical imaging as x-ray computed tomography (CT). Over the last ten years, Imants has adapted the Finite Radon Transform (FRT) to exploit the information held in discrete projections. The FRT is based on square, prime length arrays that permit an exact interconversion of digital images and their discrete projections. Recently completed Monash PhD student, Shekhar Chandra, has developed, amongst many new results, an efficient number-theoretic means for rapid computation of the FRT.
  • The FRT projections are close cousins of the Mojette projections developed by Prof. Jean-Pierre Guandeacute;don of the Image and Vision Communication group (IVC) at the Polytech'Nantes in France (see our recent textbook: J-P. Guandeacute;don (Ed.), The Mojette Transform: Theory and Applications, ISTE-Wiley, 2009). Mojette projections provide a very general and flexible representation of digital objects. They have a wide range of uses, ranging from secure data encryption to limited-angle tomographic imaging.
  • The collaboration between Monash and Nantes researchers has been active since early 2005, resulting in ongoing student and research staff exchanges. Five internship students from Nantes worked on research projects at Monash in 2010, following two students from 2009. Dr Nicolas Normand, one of the original co-workers with Prof. Guandeacute;don, spent 2009/2010 working at Monash as an ARC International Fellow. Dr Benoit Parrein from Nantes also visited Monash in 2010, aided by a Monash European Hosting Grant.
  • A simple, but powerful criterion (formalised by Katz in 1978) determines whether a discrete set of projections can reconstruct an object exactly. Insufficient or missing information gives rise to artefacts or ghost images in the reconstruction. It turns out that these ghosts carry valuable information. The trick is to construct these projection ghosts using the minimum number of points; 2N pixels instead of the usual order 2N pixels required by other methods. These minimal ghosts turn out to have amazing symmetry and very interesting correlation properties. These ghosts can also be used to generate image-anti-image data that has zero-sum projections at N projection angles.

Research area keywords

  • Discrete Projections

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Projects 2003 2010

Research Output 1978 2018

3 Citations (Scopus)

Chaotic Sensing

Chandra, S. S., Ruben, G., Jin, J., Li, M., Kingston, A. M., Svalbe, I. D. & Crozier, S., 1 Dec 2018, In : IEEE Transactions on Image Processing. 27, 12, p. 6079-6092 14 p., 8432445.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File

Symmetric Masks for In-fill Pixel Interpolation on Discrete p: q Lattices

Ceko, M., Guinard, A. & Svalbe, I., Mar 2018, In : Journal of Mathematical Imaging and Vision. 60, 3, p. 304-312 9 p.

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Extended families of 2D arrays with near optimal auto and low cross-correlation

Svalbe, I. D. & Tirkel, A. Z., 1 Dec 2017, In : EURASIP Journal on Advances in Signal Processing. 2017, 1, 19 p., 18.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
File
1 Citation (Scopus)

Large families of “grey” arrays with perfect auto-correlation and optimal cross-correlation

Svalbe, I., Ceko, M. & Tirkel, A., 2017, Discrete Geometry for Computer Imagery: 20th IAPR International Conference, DGCI 2017, Proceedings. Kropatsch, W. G., Artner, N. M. & Janusch, I. (eds.). Cham Switzerland: Springer, Vol. 10502 LNCS. p. 46-56 11 p. (Lecture Notes in Computer Science; vol. 10502 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

1 Citation (Scopus)

Maximal n-ghosts and minimal information recovery from n projected views of an array

Svalbe, I. & Ceko, M., 2017, Discrete Geometry for Computer Imagery: 20th IAPR International Conference, DGCI 2017, Proceedings. Kropatsch, W. G., Artner, N. M. & Janusch, I. (eds.). Cham Switzerland: Springer, Vol. 10502 LNCS. p. 135-146 12 p. (Lecture Notes in Computer Science; vol. 10502 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review