- N. Portman, U. Grenander and E.R. Vrscay (2010), GRID macroscopic growth law and its application to image inference, to appear in Advances in Applied Mathematics (34 pp.).
- D. Brunet, E.R. Vrscay and Z. Wang (2010), Structural similarity-based approximation of signals and images, in {\em Image Analysis and Recognition, ICIAR 2010}, Lecture Notes in Computer Science {\bf 6111}, pp. 1-12. (Springer, Berlin-Heidelberg).
- A. Sanchez, C. Drapaca, S. Sivaloganathan and E.R. Vrscay (2010), Elastography of biological tissue: Direct inversion methods that allow for local shear modulus variations, in {\em Image Analysis and Recognition, ICIAR 2010}, {\em ibid}, pp. 195-206.

- D. La Torre, E.R. Vrscay, M. Ebrahimi and M.F. Barnsley (2009), Measure-valued images, associated fractal transforms and the self-similarity of images, SIAM Journal of Imaging Sciences {\bf 2}, 2, 470-507.
- H. Kunze, D. La Torre and E.R. Vrscay (2009), A generalized collage method based upon the Lax-Milgram functional for solving boundary value inverse problems, Nonlinear Analysis; Theory, Methods and Applications {\bf 71}, e1337-1343.
- H. Kunze, D. La Torre and E.R. Vrscay (2009), Inverse problems for random differential equations using the collage method for random contraction mappings, J. Computational and Applied Mathematics {\bf 223}, 2, 853-861.
- V. Capasso, H. Kunze, D. La Torre and E.R. Vrscay (2009), Parametric estimation for deterministic and stochastic differential equations with applications, Advances in Nonlinear Analysis: Theory, Methods and Applications (S.Sivasundaram ed.), pp. 71-84 (Cambridge Scientific).
- D. Brunet, E.R. Vrscay and Z. Wang (2009), The use of residuals in image denoising, in {\em Image Analysis and Recognition, ICIAR 2009}, Lecture Notes in Computer Science {\bf 5627}, pp. 1-12 (Springer, Berlin-Heidelberg).
- N. Portman, U. Grenander and E.R. Vrscay (2009), Direct estimation of biological growth properties from image data using the `GRID' model, in {\em Image Analysis and Recognition, ICIAR 2009}, Lecture Notes in Computer Science {\bf 5627}, pp. 832-843 (Springer, Berlin-Heidelberg).
- M. Ebrahimi, E.R. Vrscay and A. Martel (2009), Coupled multi-frame super-resolution with diffusive motion model and total variation regularization, Proceedings of the 2009 International Workshop on Local and Nonlocal Approximation in Image Processing, Tuusula, Finland, 19-21 August 2009. 8 pp.
- H. Kunze, D. La Torre and E.R. Vrscay (2009), ``On iterated multifunction systems,'' in {\it Stereology and image analysis}, Proceedings of the 10th European Congress of ISS (V. Capasso {\em et al.} Editors), Societa' Editrice Esculapio, Bologna, pp. 149-155.
- D. La Torre and E.R. Vrscay (2009), ``Generalized fractal transforms and self-similar images,'' in in {\it Stereology and image analysis}, {\em ibid.}, pp. 161-167.
- H. Kunze, D. La Torre and E.R. Vrscay (2009), ``Solving inverse problems for the Hammerstein integral operator,'' in in {\it Stereology and image analysis}, {\em ibid.}, pp. 168-174.

- H. Kunze, D. La Torre and E.R.Vrscay (2008), From Iterated Function Systems to Iterated Multifunction Systems, Communications on Applied Nonlinear Analysis {\bf 15} (4), 1-14.
- S.K. Alexander, P. Fieguth, M. Ioannidis and E.R. Vrscay (2008), Hierarchical annealing for synthesis of binary porous media images, Mathematical Geosciences {\bf 41} (4), 357-378.
- M. Ebrahimi and E.R. Vrscay (2008), Self-similarity in imaging, 20 years after `Fractals Everywhere', Proceedings of the 2008 International Workshop on Local and Nonlocal Approximation in Image Processing, Lausanne, Switzerland, 23-24 August 2008.
- E.R. Vrscay (2008), A simple model for affine self-similarity of images and its applications, Proceedings of the 2008 International Workshop on Local and Nonlocal Approximation in Image Processing, Lausanne, Switzerland, 23-24 August 2008.
- M. Ebrahimi and E.R. Vrscay (2008), ``Multi-frame super-resolution with no explicit motion estimation,'' Proceedings of the 2008 Interational Conference on Image Processing, Computer Vision and Pattern Recognition, IPCV 2008, Las Vegas, Nevada, 14-17 July 2008.
- S.K. Alexander and E.R. Vrscay (2008), ``IFS imaging beyond compression,'' Nonlinear Analysis: Theory, Methods and Applications {\bf 71}, 12, e1215-e1226. (Proceedings of the World Conference on Nonlinear Analysis, Orlando, Florida, 2-9 July 2008.)
- H. Kunze, D. La Torre and E.R. Vrscay (2008), A generalized collage method based upon the Lax-Milgram functional for solving boundary value inverse problems, Nonlinear Analysis: Theory, Methods and Applications {\bf 71}, 12, e1337-e1343. (Proceedings of WCNA 2008)
- G.S. Mayer and E.R. Vrscay (2008), ``Self-similarity of Fourier Domain Data'', Nonlinear Analysis: Theory, Methods and Applications {\bf 71}, 12, e855-e864. (Proceedings of WCNA 2008)
- D. La Torre and E.R. Vrscay (2008), ``Generalized fractal transforms for measure-valued images,'' Nonlinear Analysis: Theory, Methods and Applications {\bf 71}, 12, e1598-e1607. (Proceedings of WCNA 2008)
- S.K. Alexander, E.R. Vrscay and S. Tsurumi (2008), A simple, general model for the affine self-similarity of images, in {\em Image Analysis and Recognition, ICIAR 2008}, Lecture Notes in Computer Science, Vol. 5112, (Springer, Berlin-Heidelberg) p. 192-203.
- M. Ebrahimi and E.R. Vrscay (2008), The role of scale in the context of the non-local-means filter, in {\em Image Analysis and Recognition, ICIAR 2008}, Lecture Notes in Computer Science, Vol. 5112, (Springer, Berlin-Heidelberg) p. 170-181.
- G.S. Mayer, E.R. Vrscay, M.L. Lauzon, B.G. Goodyear and J.R. Mitchell (2008), Self-similarity of images in the Fourier domain, with applications to MRI, in {\em Image Analysis and Recognition, ICIAR 2008}, ibid., p. 43-52.

- D. La Torre, F. Mendivil and E.R. Vrscay (2007), Iterated multifunction systems, in {\em Math Everywhere, Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry}, G. Aletti, M. Burger, A. Micheletti and D. Morale Eds., pp. 125-138 (Springer Verlag, Berlin).
- H.E. Kunze, D. La Torre and E.R. Vrscay (2007), Random fixed point equations and inverse problems by collage theorem, J. Math. Anal. Appl., {\bf 334}, 1116-1129.
- H.E. Kunze, D. La Torre and E.R. Vrscay (2007), Contractive multifunctions, fixed point inclusions and iterated multifunction systems, J. Math. Anal. Appl., {\bf 330}, 157-173.
- G.S. Mayer and E.R. Vrscay (2007), Measuring information gain for frequency-encoded super-resolution MRI, Magnetic Resonance Imaging, {\bf 7}, 1058-1069.
- H.E. Kunze, D. La Torre and E.R. Vrscay (2007), ``Solving inverse problems for random equations and applications,'' Proceedings of the International Symposium on Inverse Problems, Design and Optimization (G. Dulicravich {\em et al.} Eds.), pp. 521-527.
- H.E. Kunze, D. La Torre and E.R. Vrscay (2007), ``Solving inverse problems for DEs by collage method and applications to variational optimization,'' Proceedings of the International Symposium on Inverse Problems, Design and Optimization (G. Dulicravich {\em et al.} Eds.), pp. 513-520.
- S.K. Alexander, E.R. Vrscay and S. Kovacic (2007), ``A simple model for image self-similarity with possible use of mutual information," in Proceedings of EUSIPCO 07, Poznan, Poland, September 2007, (5 pages).
- G.S. Mayer and E.R. Vrscay (2007), Iterated Fourier Transform Systems: A Method for Frequency Extrapolation, in {\em Image Analysis and Recognition, ICIAR 2007}, Lecture Notes in Computer Science 4633 (Springer, Berlin-Heidelberg), p. 728-739.
- M. Ebrahimi and E.R. Vrscay (2007), Solving the inverse problem of image zooming using `Self-examples, {\em Image Analysis and Recognition, ICIAR 2007}, ibid., p. 117-130
- N. Portman, U. Grenander and E.R. Vrscay (2007), New computational methods of construction of `Darcyan' biological coordinate systems, in {\em Image Analysis and Recognition, ICIAR 2007}, ibid., p. 143-156.
- M. Ebrahimi and E.R. Vrscay (2007), ``Nonlocal-means single-frame image zooming," Proceedings of the 6th International Congress on Industrial and Applied Mathematics (ICIAM), July 2007, Zurich, Switzerland.
- M. Ebrahimi and E.R. Vrscay (2007), ``Regularization schemes involving self-similarity in imaging inverse problems," Journal of Physics, Conference Series, Proceedings of Applied Inverse Problems (AIP) 2007, June 25-29, 2007, University of British Columbia, Vancouver, Canada (15 pages).

- M. Ghazel, G. Freeman and E.R. Vrscay (2006), Fractal-wavelet image denoising revisited, IEEE Transactions on Image Processing, {\bf 15}, No. 9, 2669-2675.
- G. Mayer and E.R. Vrscay (2006), Mathematical analysis of ``phase ramping'' for super-resolution magnetic resonance imaging, in {\em Image Analysis and Recognition, ICIAR 2006}, Lecture Notes in Computer Science {\bf 4141}, pp. 82-93.
- E.R. Vrscay (2006), Continuous evolution of fractal transforms and nonlocal PDE imaging, in {\em Image Analysis and Recognition, ICIAR 2006}, {\em ibid}, pp. 446-457.
- M. Ebrahimi and E.R. Vrscay (2006), Fractal image coding as projections onto convex sets, in {\em Image Analysis and Recognition, ICIAR 2006}, {\em ibid}, pp. 493-506.
- M. Ebrahimi and E.R. Vrscay (2006), ``Regularized fractal image decoding,'' Proceedings of CCECE 2006, the Canadian Conference on Electrical and Computer Engineering, Ottawa, Canada, pp. 1933-1938, IEEE Catalog Number 06CH37749C, ISBN: 1-4244-0038-4.
- G.S. Mayer and E.R. Vrscay (2006), ``Measures of information for super-resolution MRI,'' Magnetic Resonance Materials in Biology, Physics and Medicine {\bf 19}(1), 60-61 (2006).

- J. Bona and E.R. Vrscay (2005), Continuous evolution of functions and measures toward fixed points of contraction mappings, in {\em Fractals in Engineering: New Trends in Theory and Applications}, edited by J. Levy-Vehel and E. Lutton (Springer Verlag, London), pp. 237-253.
- M. Ghazel, G. Freeman, E.R. Vrscay and R.K. Ward (2005), Wavelet image denoising using localized thresholding operators, in {\em Image Analysis and Recognition, ICIAR 2005}, Lecture Notes in Computer Science {\bf 3656}, pp. 149-158.
- K. Wilkie and E.R. Vrscay (2005), Mutual information-based region-of-interest image coregistration, in {\em Image Analysis and Recognition, ICIAR 2005}, ibid., pp. 63-72.
- M. Ghazel, G. Freeman, E.R. Vrscay, R.K. Ward and R. Abugharbieh (2005), ``Joint fractal-wavelet image denoising and interpolation,'' Proceedings of Canadian Conference on Electrical and Computer Engineering, CCECE 2005, Saskatoon, Saskatchewan, May 1-4, 2005.

- H. Kunze, J. Hicken and E.R. Vrscay (2004), ``Inverse problems for ODEs using contraction maps: Suboptimality of the `Collage Method','' Inverse Problems {\bf 20}, 977-991.
- C. Colijn and E.R. Vrscay (2004), ``Quantum relaxation in hydrogen eigenstates and two-state transitions,'' Phys. Lett. A {\bf 327}, 113-122.
- S.K. Alexander, P. Fieguth and E.R. Vrscay (2004), ``Hierarchical annealing for scientific models,'' International Conference on Acoustics, Speech and Signal Processing (ICASSP 2004), Montreal, PQ, 17-21 May 2004. Proceedings, Volume {\bf 3}, pp. 33-36 (Springer Verlag).

- C.Colijn and E.R. Vrscay (2002), ``Spin-dependent Bohm trajectories for hydrogen eigenstates,'' Physics Letters A {\bf 300}, No. 4-5, 334-340. (Erratum appeared in {\bf 316}, 424 (2003).)
- F. Mendivil and E.R Vrscay (2002), ``Fractal vector measures and vector calculus on planar fractal domains,'' Chaos, Solitons and Fractals {\bf 14}, No. 8, 1239-1254.
- E.R. Vrscay (2002), ``From Fractal Image Compression to Fractal-Based Methods in Mathematics,'' in {\em Fractals in Multimedia}, IMA Volumes in Mathematics and Applications, ed. M. Barnsley, D. Saupe and E.R. Vrscay, Vol. 132 (Springer Verlag, New York) pp. 65-106.
- H. Kunze and E.R. Vrscay (2002), ``Using the Picard Contraction Mapping to Solve Inverse Problems in Ordinary Differential Equations,'' in {\em Fractals in Multimedia}, {\em ibid.}, pp. 157-174.
- F. Mendivil and E.R. Vrscay (2002), ``Self affine vector measures and calculus on fractals,'' in {\em Fractals in Multimedia}, {\em ibid.}, pp. 137-156.

- H. Hartenstein, M. Ruhl, D. Saupe and E.R. Vrscay (2001) ``On the inverse problem of fractal image compression,'' in {\em Ergodic Theory, Analysis and Efficient Simulation of Dynamical Systems}, ed. B. Fiedler (Springer Verlag, Berlin Heidelberg), pp. 617-647.

- M. Ghazel and E.R. Vrscay (2000), ``An effective hybrid fractal-wavelet image coder using quadtree partitioning and pruning,'' Proceedings of the Canadian Conference on Electrical and Computer Engineering, CCECE 2000, Halifax, Nova Scotia, May, 2000, 5 pp.

- H.E. Kunze and E.R. Vrscay (1999), Solving Inverse Problems for ODEs Using the Picard Contraction Mapping, Inverse Problems {\bf 15}, 745-770.
- M. Ghazel, E.R. Vrscay and A.K. Khandani (1999), ``An Interpolative Scheme in Fractal Image Compression in the Wavelet Domain,'' in {\em Computer Analysis of Images and Patterns}, Ljubljana, Slovenia, Aug. 1999 (Springer Verlag, Berlin), pp. 191-200.
- E.R. Vrscay and D. Saupe (1999), ``Can one break the `collage barrier' in fractal image coding?'' in {\em Fractals: Theory and Applications in Engineering}, ed. M. Dekking, J. Levy-Vehel, E. Lutton and C. Tricot (Springer Verlag, London), pp. 307-323.
- B. Forte, F. Mendivil and E.R. Vrscay (1999), ``IFS-Type Operators on Integral Transforms,'' in {\em Fractals: Theory and Applications in Engineering}, ed. M. Dekking, J. Levy-Vehel, E. Lutton and C. Tricot (Springer Verlag, London), pp. 125-138.

- E.R. Vrscay (1998) ``A Generalized Class of Fractal-Wavelet Transforms for Image Representation and Compression of Images'', Can. J. Elect. \& Comp. Eng. {\bf 23}, nos. 1-2, 69-83.
- B. Forte, F. Mendivil and E.R. Vrscay (1998), ``Chaos Games for Iterated Function Systems with Grey Level Maps'', SIAM J. Math. Anal. {\bf 29}, No. 4, pp. 878-890.
- R.D. Dony and E.R. Vrscay (1998), ``IFS Coding Using an MPC Network Library,'' Canadian Conference on Electrical and Computer Engineering, Waterloo, May 1998, 61-64.
- M. Ghazel, A.K. Khandani and E.R. Vrscay (1998), ``Improving Fractal Image Compression Schemes Through Quantization and Entropy Coding,'' Canadian Conference on Electrical and Computer Engineering, Waterloo, May 1998, 661-664.
- B. Forte and E.R. Vrscay (1998), ``Theory of Generalized Fractal Transforms,'' in {\em Fractal Image Encoding and Analysis}, edited by Y. Fisher (Springer Verlag, New York). NATO Advanced Study Institute, Trondheim, Norway, July 8-17, 1995.
- B. Forte and E.R. Vrscay (1998), ``Inverse Problem Methods for Generalized Fractal Transforms,'' in {\em Fractal Image Encoding and Analysis}, ibid..

- B. Forte and E.R. Vrscay (1995), ``Solving the Inverse Problem for Functions and Image Approximation using Iterated Function Systems,'' Dyn. Cont. Impul. Sys. {\bf 1}, 177-231.
- B. Forte and E.R. Vrscay (1995), ``Solving the Inverse Problem for Measures Using Iterated Function Systems: A New Approach'', Adv. Appl. Prob. {\bf 27}, 800-820.

- B. Forte, M. LoSchiavo and E.R. Vrscay (1994), ``Continuity Properties of Attractors for Iterated Fuzzy Set Systems'', J. Australian Math. Soc. Ser. B {\bf 36}, 175-193.
- B. Forte and E.R. Vrscay (1994) ``Solving the Inverse Problem for Function/Image Approximation Using Iterated Function Systems I. Theoretical Basis'', Fractals {\bf 2}, 325-334, as part of the Proceedings of the conference ``Fractals in Engineering,'' Montr\'{e}al, June 1-4, 1994.
- B. Forte and E.R. Vrscay (1994) ``Solving the Inverse Problem for Function/Image Approximation Using Iterated Function Systems II. Algorithm and Computations'', Fractals {\bf 2}, 335-346, as part of the Proceedings of the conference ``Fractals in Engineering,'' Montr\'{e}al, June 1-4, 1994.
- S.M. McRae and E.R. Vrscay (1994), ``Classical-Quantum Correspondence in Time Dependent Perturbation Theory,'' in {\em Coherent States: Past, Present and Future}, edited by D.H. Feng, J.R. Klauder and M.R. Strayer. (World Scientific, New Jersey), pp. 315-329.

- P. Centore and E.R. Vrscay (1993), ``Continuity of Attractors and Invariant Measures of Iterated Function Systems,'' Canadian Math. Bull. {\bf 37} 315-329.
- B.R. McQuarrie and E.R. Vrscay (1993), ``Rayleigh-Schr\"{o}dinger Perturbation Theory to Large Order for Radial Klein-Gordon Equations'', Phys. Rev. {\bf A47}, 868-878.
- P.M. Benoit S.M. McRae and E.R. Vrscay (1993), ``Classical-Quantum Correspondence in Perturbation Theory,'' in {\em Quantum Dynamics of Chaotic Systems: Proceedings of the Third Drexel Symposium on Quantum Nonintegrability, May 20-22, 1992} (Gordon and Breach, Langhorne, PA).

- C.A. Cabrelli, B. Forte, U.M. Molter and E.R. Vrscay (1992), ``Iterated Fuzzy Set Systems: A New Approach to the Inverse Problem for Fractals and Other Sets'', J. Math. Anal. Appl. {\bf 171}, 79-100.
- S.M. McRae and E.R. Vrscay (1992), ``Canonical Perturbation Expansions to Large Order Using Hypervirial and Hellmann-Feynman Theorems,'' J. Math. Phys. {\bf 35}, 3004-3024.

- E.R. Vrscay (1991), ``Irregular Behaviour Arising From Quasiperiodic Forcing of Simple Quantum Systems: Insight from Perturbation Theory'', J. Phys. A: Math. Gen {\bf 24}, L463-L468.
- E.R. Vrscay and D. Weil (1991), ``Missing Moment and Perturbative Methods for Polynomial Iterated Function Systems'', Physica D {\bf 50}, 478-492.
- C.C. Gerry, R. Grobe and E.R. Vrscay (1991), ``Squeezed Vacuum States in a Nonlinear Medium Modulated by Periodic Kicking'', Phys. Rev. {\bf A43}, 361-370.
- E.R. Vrscay (1991), ``Iterated Function Systems: Theory, Application and the Inverse Problem'', {\em NATO Advanced Study Institute on Fractal Geometry and Analysis}, NATO ASI Series C 346, edited by J. B\'{e}lair and S. Dubuc, p. 405-468 (Kluwer, Dordrecht, The Netherlands).

- T.C. Scott, R.A. Moore, G.J. Fee, M.B. Monagan and E.R. Vrscay (1990), ``Perturbative Solutions of Quantum Mechaical Problems by Symbolic Computation'', J. Comp. Phys. {\bf 87}, 366-395.
- S. Arianatnam, W.C. Xie and E.R. Vrscay (1990), ``Chaotic Motion Under Parametric Excitation'', Dynamics and Stability of Systems {\bf 4}, 111-130.
- E.R. Vrscay (1990), ``Moment and Collage Methods for the Inverse Problem of Fractal Construction with Iterated Function Systems'', in {\em Fractals in the Fundamental and Applied Sciences}, H.-O. Peitgen, J.M. Henriques and L.F. Penedo, Editors, p. 443-461 (North Holland).
- C. Cabrelli, U. Molter and E.R. Vrscay (1990), ``Recurrent Iterated Function Systems: Invariant Measures, A Collage Theorem and Moment Relations'', in {\em Fractals in the Fundamental and Applied Sciences}, H.-O. Peitgen, J.M. Henriques and L.F. Penedo, Editors, p. 71-80 (North Holland).

- E.R. Vrscay and C.J. Roehrig (1989), ``Iterated Function Systems and the Inverse Problem of Fractal Construction Using Moments'', in {\em Computers and Mathematics}, E. Kaltofen and S.M. Watt, Editors,