Dr Imants Svalbe - Researcher 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 Guédon of the Image and Vision Communication group (IVC) at the Polytech'Nantes in France (see our recent textbook: J-P. Guédon (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. Guédon, 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.

Keywords

Discrete projections

Qualifications

DIPLOMA OF EDUCATION (TERTIARY)

Institution: University of Melbourne

Year awarded: 1980

PHYSICS

Institution: University of Melbourne

Year awarded: 1979

BACHELOR OF SCIENCE (HONS)

Institution: UNIVERSITY OF MELBOURNE

Year awarded: 1974

Publications

Book Chapters

Svalbe, I.D., Guedon, J., 2009, Discrete versions of the radon transform, in The Mojette Transform, eds Jeanpierre Guedon, ISTE Ltd and Wiley, UK and USA, pp. 21-38.

Normand, N.J.A., Svalbe, I.D., Evenou, P., Kingston, A., 2009, Inverse mojette transform algorithms, in The Mojette Transform, eds Jeanpierre Guedon, ISTE Ltd and Wiley, UK and USA, pp. 85-111.

Kingston, A., Svalbe, I.D., 2006, Projective Transforms on Periodic Discrete Image Arrays, in Advances in Imaging and Electron Physics, eds Benjamin Kazan, Peter W Hawkes, Elsevier, USA, pp. 75-177.

Journal Articles

Horney, R.B., Gibson, A., Svalbe, I.D., 2012, Measurement of micron level distortions in a macroscopic cylindrical object from x-ray CT images, NDT and E International [P], vol 47, Elsevier Ltd, UK, pp. 96-104.

Chandra, S.S., Svalbe, I.D., Guedon, J., Kingston, A., Normand, N.J.A., 2012, Recovering missing slices of the discrete Fourier transform using Ghosts, IEEE Transactions on Image Processing [P], vol 21, issue 10, Institute of Electrical and Electronics Engineers, Piscataway USA, pp. 4431-4441.

Svalbe, I., 2011, Exact, scaled image rotations in finite Radon transform space, Pattern Recognition Letters [P], vol 32, issue 9, Elsevier BV, The Netherlands, pp. 1415-1420.

Crosbie, J., Anderson, R., Rothkamm, K., Restall, C., Cann, L.M., Ruwanpura, S.M., Meachem, S.J., Yagi, N., Svalbe, I.D., Lewis, R., Williams, B.R.G., Rogers, P.A.W., 2010, Tumor cell response to synchrotron microbeam radiation therapy differs markedly from cells in normal tissues, International Journal of Radiation Oncology Biology Physics [P], vol 77, issue 3, Elsevier Inc., USA, pp. 886-894.

Crosbie, J., Svalbe, I.D., Midgley, S.M., Yagi, N., Rogers, P.A.W., Lewis, R., 2008, A method of dosimetry for synchrotron microbeam radiation therapy using radiochromic films of different sensitivity, Physics in Medicine and Biology, vol 53, issue 23, Insitute of Physics Publishing, UK, pp. 6861-6877.

Kingston, A., Svalbe, I.D., 2007, Generalised finite radon transform for NxN images, Image and Vision Computing, vol 25, issue 10, Elsevier BV, The Netherlands, pp. 1620-1630.

Gavrilescu, M., Stuart, G., Waites, A., Jackson, G., Svalbe, I.D., Egan, G.F., 2004, Changes in effective connectivity models in the presence of task-correlated motion: An fMRI study, Human Brain Mapping, vol 21, issue 2, Wiley-Liss, Inc., Hoboken NJ USA, pp. 49-63.

Nikulin, A.Y., Horney, R., Darahanau, A., Svalbe, I.D., Bigault, T., Ziegler, E., 2004, Quantitative tomographic X-ray profiling of non-Bragg diffracting materials using phase retrieval X-ray diffractometry, Optics Communications, vol 235, issue 1-Mar, Elsevier B.V., Netherland, pp. 49-54.

Svalbe, I.D., 2004, Sampling properties of the discrete radon transform, Discrete Applied Mathematics, vol 139, Elsevier B.V., Netherland, pp. 265-281.

Homolya, S., Osborne, C.F., Svalbe, I.D., 2003, Density of states for vibrations of fractal drums, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics [P], vol 67, issue 2, The American Physical Society, Melville USA, pp. 026211-1-026211-13.

Homolya, S., Svalbe, I.D., Osborne, C.F., 2003, Numerical determination of the density profile of an inhomogeneous membrane: solution of the inverse vibration problem, Journal of Sound and Vibration, vol 261, issue 2, Academic Press / Elsevier, London UK, pp. 193-211.

Evans, C.J., Jones, R., Svalbe, I.D., Berman, M., 2002, Segmenting multispectral Landsat TM images into field units, IEEE Transactions on Geoscience and Remote Sensing, vol 40, issue 5, Institute of Electrical and Electronics Engineers, Inc., USA, pp. 1054-1064.

Gavrilescu, M., Shaw, M.E., Stuart, G., Eckersley, P., Svalbe, I.D., Egan, G.F., 2002, Simulation of the effects of global normalization procedures in functional MRI, NeuroImage, vol 17, issue 2, Elsevier Science, USA, pp. 532-542.

Svalbe, I.D., 2001, Digital projections in prime and composite arrays, Electronic Notes in Theoretical Computer Science, vol 46, Elsevier Science B. V., Amsterdam Netherlands, pp. 1-16.

Svalbe, I.D., van der Spek, D., 2001, Reconstruction of tomographic images using analog projections and the digital Radon transform, Linear Algebra and its Applications, vol 339, issue 03, Elsevier Science Inc., Amsterdam Netherlands, pp. 125-145.

Conference Proceedings

Svalbe, I., Chandra, S., 2011, Growth of discrete projection ghosts created by iteration, Discrete Geometry for Computer Imagery, 6 April 2011 to 8 April 2011, Springer, Germany, pp. 406-416.

Svalbe, I., 2011, Near-perfect correlation functions based on zero-sum digital projections, 2011 International Conference on Digital Image Computing: Techniques and Applications, 6 December to 8 December 2011, IEEE, USA, pp. 627-632.

Svalbe, I., Normand, N., 2011, Properties of minimal ghosts, Discrete Geometry for Computer Imagery, 6 April 2011 to 8 April 2011, Springer, Germany, pp. 417-428.

Normand, N., Svalbe, I., Parrein, B., Kingston, A., 2010, Erasure coding with the finite radon transform, Wireless Communications and Networking Conference Proceedings, 18 April 2010 to 21 April 2010, IEEE Communications Society, USA, pp. 1-6.

Chandra, S.S., Svalbe, I.D., 2009, A fast number theoretic finite radon transform, DICTA 2009, The Institute of Electrical and Electronics Engineers, Inc., USA, pp. 361-368.

Svalbe, I.D., 2009, Exact, scaled image rotation using the finite radon transform, Lecture Notes in Computer Science, Springer, Germany, pp. 446-456.

Visser, G., Dowe, D.L., Svalbe, I.D., 2009, Information-theoretic image reconstruction and segmentation from noisy projections, Proceedings of the 22nd Australasian Joint Conference on Advances in Artificial Intelligence (AI 2009), 1 December 2009 to 4 December 2009, Springer-Verlag, Berlin Germany, pp. 170-179.

Chandra, S.S., Svalbe, I.D., 2008, A method for removing cyclic artefacts in discrete tomography using latin squares, ICPR 2008 19th International Conference on Pattern Recognition, 8 December 2008 to 11 December 2008, IEEE, USA, pp. 1-4.

Chandra, S.S., Svalbe, I.D., Guedon, J., 2008, An exact, non-iterative Mojette inversion technique utilising ghosts, Discrete Geometry for Computer Imagery, 16 April 2008 to 18 April 2008, Springer, Berlin, pp. 401-412.

Kingston, A., Svalbe, I.D., Guedon, J., 2008, The discrete Radon transform: A more efficient approach to image reconstruction, Developement in X-ray Tomography IV, SPIE, USA, pp. 70780G-1-70780G-10.

Dalgleish, A.P., Dowe, D.L., Svalbe, I.D., 2007, Tomographic reconstruction of images from noisy projections: A preliminary study, Proceedings of the 20th Australian Joint Conference on Artificial Intelligence: Advances in Artificial Intelligence (AI 2007), 2 December 2007 to 6 December 2007, Springer, Berlin Germany, pp. 539-548.

Svalbe, I.D., Chandra, S.S., Kingston, A., Guedon, J., 2006, Quantised Angular Momentum Vectors and Projection Angle Distributions for Discrete Radon Transformations, Discrete Geometry for Computer Imagery, 25/10/2007 to 27/10/2007, Springer-Verlag, Germany, pp. 134-145.

Kingston, A., Svalbe, I.D., 2005, A discrete modulo N projective Radon transform for N x N images, Discrete Geometry for Computer Imagery, Lecture Notes in Computer Science, 13/04/2005 to 15/04/2005, Springer, Germany, pp. 136-147.

Kingston, A., Svalbe, I.D., 2005, Geometric shape effects in redundant keys used to encrypt data transformed by Finite discrete Radon projections, Proceedings of the Digital Imaging Computing: Techniques and Applications (DICTA 2005), 06/12/2005 to 08/12/2005, IEEE Computer Society, Australia, pp. 102-109.

Svalbe, I.D., Kingston, A., 2004, On correcting the unevenness of angle distributions arising from integer ratios lying in restricted portions of the Farey Plane, Combinatorial Image Analysis, 01/12/04 to 03/12/04, Springer, Germany, pp. 110-121.

Kingston, A., Svalbe, I.D., 2003, Adaptive discrete Radon transforms for greyscale images, Electronic Notes in Discrete Mathematics, 14/05/2003 to 16/05/2003, Elsevier, Electronic Archive (ENDM), pp. 1-12.

Svalbe, I.D., Kingston, A., 2003, Farey sequences and discrete Radon transform projection angles, Electronic Notes in Discrete Mathematics, 14/05/2003 to 16/05/2003, Elsevier, Electronic Archive (ENDM), pp. 1-12.

Svalbe, I.D., Kingston, A., 2003, Intertwined digital rays in discrete Radon projections pooled over adjacent prime sized arrays, Discrete Geometry for Computer Imagery, 19/11/2003 to 21/11/2003, Springer, Berlin Germany, pp. 485-494.

Horney, R., Svalbe, I.D., Wells, P., 2003, Isotropic subpixel measurement of circular objects, Digital Image Computing: Techniques and Applications, 10/12/2003 to 12/12/2003, CSIRO Publishing, Collingwood Vic Australia, pp. 529-538.

Kingston, A., Svalbe, I.D., 2003, Mapping between digital and continuous projections via the discrete Radon transform in Fourier space, Digital Image Computing: Techniques and Applications, 10/12/2003 to 12/12/2003, CSIRO Publishing, Collingwood Vic Australia, pp. 263-272.

Homolya, S., Osborne, C.F., Svalbe, I.D., 2002, Effects of signal quantisation and spatial sampling in reconstructing surface density profiles, Proc. of the Sixth Digital Imaging and Computing: Techniques and Applications Conf, 21/1/02 to 22/1/02, Australian Pattern Recognition Society, Melbourne Vic Australia, pp. 1-6.

Svalbe, I.D., 2002, Image operations in discrete radon space, Proc. of the Sixth Digital Image and Computing: Techniques and Applications Conf, 21/1/02 to 22/1/02, Australian Pattern Recognition Society, Melbourne Vic Australia, pp. 1-6.

Svalbe, I.D., 2002, Linear and non-linear image processing operations on digital projections, 5th International Symposium on Mathematical Morphology, 3/4/02 to 5/4/03, CSIRO Publishing, Australia, pp. 165-174.

Horney, R., Svalbe, I.D., Wells, P., 2002, Projection data and scanograms in x-ray computed tomography, Proc. of Sixth Digital Image and Computing: Techniques and Applications Conf, 21/1/02 to 22/1/02, Australian Pattern Recognition Society, Melbourne Vic Australia, pp. 1-6.

Svalbe, I.D., 2001, An image labeling mechanism using digital Radon projections, 2001 International Conference on Image Processing, 07/10/01 to 10/10/01, The Institute of Electrical and Electronics Engineers, USA, pp. 1015-1018.

Svalbe, I.D., Tirkel, A.Z., Van Schyndel, R., 2000, Discrete Angle Watermark Encoding and Recovery, Proceeding 15th International Conference on Pattern Recognition, 3-7 September 2000, Barcelona, Spain, IEEEE, USA, pp. 246-249.

Van Schyndel, R., Tirkel, A.Z., Svalbe, I.D., 1999, A Multiplicative Colour Watermark, IEEE Workshop on Nonlinear Signal and Image Processing, Antalya Turkey June 20-23, Bogazici University Printhouse, Turkey, pp. 336-339.

Van Schyndel, R., Tirkel, A.Z., Svalbe, I.D., Hall, T.E., Osborne, C.F., 1999, Algebraic Construction of a New Class of Quasi-Orthogonal Arrays in Steganography, SPIR Electronic Imaging 1999, San Jose USA January 1999, SPIE, USA, pp. 354-364.

Van Schyndel, R., Tirkel, A.Z., Svalbe, I.D., Hall, T.E., Osborne, C.F., 1999, Algebraic construction of a new class of quasi-orthogonal arrays in steganography, Proceedings of SPIE, San Jose USA 25-27 January 1999, SPIE - The International Society for Optical Eng, San Jose USA, pp. 354-364.

Pitson, G., Svalbe, I.D., Millar, R.M., Davis, J.R., 1999, Automated Extraction of Radiotherapy Simulator Image Field Edges, DICTA'99, Perth Dcember 7-8 1999, Australian Pattern Recognition Society, Australia, pp. 63-67.

Van Schyndel, R., Tirkel, A.Z., Svalbe, I.D., 1999, Key Independent Watermark Detection, IEEE International Conference on Multi Media Computing and Systems, Florence June 1999, IEEE Computer Society, Los Alamitos CA USA, pp. 580-585.

Fox, K., Svalbe, I.D., Alan, R., 1999, The Accuracy of Isocentre Positioning from CT Planning to Simulation in a Phantom, 50th Annual National Conference 17th Radiation Therapy Symposium, Melbourne, 18-21 Nov 1999, Australian Institute of Radiography, Melbourne Vic Australia, p. 121.

Van Schyndel, R., Tirkel, A.Z., Svalbe, I.D., 1998, Delay Recovery from a Non-linear Polynomial-Response Systems, 6th IEEE International Workshop on Intelligent Signal Processing and Communication Systems, Melbourne 5-6 November 1998, Institute of Electrical and Electronic Engineers, Melbourne Vic Australia, pp. 294-298.

Evans, C.J., Svalbe, I.D., 1997, Nonlinear image processing using alternative orderings, Digital Image & Vision Computing: Techniques and Applications, 10-12 December 1997, New Zealand, Massey University, New Zealand, pp. 177-182.

Postgraduate Research Supervisions

Current Supervision

Program of Study:

(DOCTORATE BY RESEARCH).

Thesis Title:

Perfect sequences and arrays of unbounded lengths and sizes over the basic quaternions.

Supervisors:

Hall, T (Main), Svalbe, I (Associate).

Completed Supervision

Student:

Beveridge, T.

Program of Study:

Monte Carlo investigation of a combined PET/SPECT imaging system. (PHD) 2007.

Supervisors:

Lewis, R (Main), Svalbe, I (Associate).

Student:

Chandra, S.

Program of Study:

Circulant theory of the Radon transform. (PHD) 2010.

Supervisors:

Svalbe, I (Main), Morgan, M (Associate).

Student:

Crosbie, J.

Program of Study:

Synchrotron microbeam radiation therapy. (PHD) 2008.

Supervisors:

Lewis, R (Main), Svalbe, I (Associate).

Student:

Gavrilescu, M.

Program of Study:

EVALUATION OF THE EFFECTS OF CONFOUNDS ON THE PREPROCESSING AND EFFECTIVE CONNECTIVITY ANALYSIS OF FUNCTIONAL NEUROIMAGING DATA. (PHD) 2003.

Supervisors:

Svalbe, I (Main), Egan, G (Associate).

Student:

Gillam, J.

Program of Study:

Development of electronic collimation in nuclear imaging. (PHD) 2006.

Supervisors:

Lewis, R (Main), Svalbe, I (Associate).

Student:

Horney, R.

Program of Study:

High precision dimensional measurements from X-ray tomographic images. (PHD) 2005.

Supervisors:

Svalbe, I (Main), Wells, P (Associate).

Student:

Ibrahim, M.

Program of Study:

"Eddy-current NDE using driver-pickup coils". (Masters) 2005.

Supervisors:

Svalbe, I (Main).

Student:

Kingston, A.

Program of Study:

Extension and application of finite discrete radon projection theory. (PHD) 2005.

Supervisors:

Svalbe, I (Main), Morgan, M (Associate).

Student:

Midgley, S.

Program of Study:

QUANTITATIVE X-RAY ABSORPTIOMETRY. (PHD) 2001.

Supervisors:

Morgan, M (Main), Svalbe, I (Associate).

Student:

Thatcher, M.

Program of Study:

TOPOLOGICAL DEFECTS IN CONDENSED MATTER AND COSMOLOGICAL SYSTEMS. (PHD) 2000.

Supervisors:

Morgan, M (Main), Svalbe, I (Associate).

Student:

Van Schyndel, R.

Program of Study:

DIGITAL WATERMAKING AND SIGNAL DELAY ESTIMATION USING PSEUDONOISE SEQUENCES. (PHD) 2001.

Supervisors:

Svalbe, I (Joint-Co).

Student:

Williams, I.

Program of Study:

Optimising phase contrast imaging of breast tissue with conventional sources. (PHD) 2008.

Supervisors:

Lewis, R (Joint-Co), Svalbe, I (Joint), Siu, K (Associate).

Student:

Yu, R.

Program of Study:

NUMERICAL SUMULATIONS OF TOPOLOGICAL DEFECTS IN R2+1, R3+1 AND R4+1 SPACETIME. (PHD) 2003.

Supervisors:

Morgan, M (Main), Svalbe, I (Associate).