Main Content

Accepted/Appeared: Peer-Reviewed and Invited Papers

1. Algorithms for Higher-Order Mimetic Operators.
   Eduardo Sanchez, Christopher Paolini, Peter Blomgren, and Jose Castillo. Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014, Lecture Notes in Computational Science and Engineering, Volume 106, pp. 425-434, November 2015. [10.1007/978-3-319-19800-2_39] [google scholar]

2. Mimetic Finite Difference Methods in Image Processing.
   Mohammad Abouali, Carlos Bazan, Jose Castillo, and Peter Blomgren. Computational and Applied Mathematics, Volume 30, No 3, pp. 701-720, December 21, 2011. [10.1590/S1807-03022011000300012] [google scholar]

3. Introduction of Non-linear Elasticity Models for Characterization of Shape and Deformation Statistics: Application to Contractility Assessment of Isolated Adult Cardiocytes.
   Carlos Bazan, Trevor Hawkins, David Torres Barba, Peter Blomgren and Paul Paolini. BMC Biophysics, August 22, 2011, 4:17. [10.1186/2046-1682-4-17] [google scholar]

4. Image Processing Techniques for Assessing Contractility in Isolated Neonatal Cardiac Myocytes.
   Carlos Bazan, David Torres Barba, Peter Blomgren, and Paul Paolini. International Journal of Biomedical Imaging, vol. 2011, Article ID 729732, 9 pages, 2011. [10.1155/2011/729732] [google scholar]

5. Intermittency Near a Codimension Three Steady-State Bifurcation.
   Peter Blomgren, Joan Manuel Martinez, and Antonio Palacios. International Journal of Bifurcation and Chaos, vol.21, no.1, 2011. [10.1142/S0218127411028428] [google scholar]

6. Image Processing Techniques for Assessing Contractility in Isolated Adult Cardiac Myocytes.
   Carlos Bazan, David Torres, Peter Blomgren, and Paul Paolini. International Journal of Biomedical Imaging, Vol 2009, Article ID 352954, 11 pages. Appeared 24 February 2010. [10.1155/2009/352954] [google scholar]

7. Structure enhancement diffusion and contour extraction for electron tomography of mitochondria.
   Carlos Bazan, Michelle Miller, and Peter Blomgren. Journal of Structural Biology, vol.166, issue 2, pp.144-155; May, 2009. [10.1016/j.jsb.2009.02.009] [google scholar]

8. Recent advances in 2+1-dimensional simulations of the pattern-forming Kuramoto-Sivashinsky equation.
   Peter Blomgren, Antonio Palacios, and Scott Gasner. Mathematics and Computers in Simulation, vol.79, issue 6, pp.1810-1823; February, 2009. [10.1016/j.matcom.2008.10.005] [google scholar]

9. Spatial Focusing and Intersymbol Interference in Multiple-Input/Single-Output Time Reversal Communication Systems.
   Peter Blomgren, Persefoni Kyritsi, Arnold Kim, and George Papanicolaou. IEEE Journal of Oceanic Engineering, vol.33, issue 3, pp.341-355; July, 2008. [10.1109/JOE.2008.925083] [google scholar]

10. Noise-Induced Intermittency in Cellular Pattern-Forming Systems.
    Scott Gasner, Peter Blomgren, and Antonio Palacios. International Journal of Bifurcation and Chaos, vol.17, no.8, pp.2765-2779; August, 2007. [10.1142/S0218127407018749] [google scholar]

11. Bifurcation Analysis of Bubble Dynamics in Fluidized Beds.
    Peter Blomgren, Antonio Palacios, Bing Zhu, Stuart Daw, Charles Finney, John Halow, and Sreekanth Pannala. Chaos: An Interdisciplinary Journal of Nonlinear Science, 27 March 2007. [10.1063/1.2712309] [google scholar]

12. Bifurcation Analysis of Hopping Behavior in Cellular Pattern-Forming Systems.
    Antonio Palacios, Peter Blomgren, and Scott Gasner. International Journal of Bifurcation and Chaos, vol.17, no. 2, February 2007. [10.1142/S0218127407017380] [google scholar]

13. Noise-Induced Intermittent Cellular Patterns on Circular Domains.
    Peter Blomgren, Scott Gasner, and Antonio Palacios. Physical Review E, vol.74, issue 4, October 2006. [10.1103/PhysRevE.74.045202] [google scholar]

14. Stable second-order scheme for integrating the Kuramoto-Sivanshinsky equation in polar coordinates using distributed approximating functionals.
    Peter Blomgren, Scott Gasner, and Antonio Palacios. Physical Review E, vol.72, issue 3, September, 2005. [10.1103/PhysRevE.72.036701] [google scholar]

15. Hopping Behavior in the Kuramoto-Sivashinsky Equation.
    Peter Blomgren, Scott Gasner, and Antonio Palacios. Chaos: An Interdisciplinary Journal of Nonlinear Science, volume 15; March 28, 2005. [10.1063/1.1848311] [google scholar]

16. Modular Solvers for Constrained Image Restoration Problems Using the Discrepancy Principle.
    Peter Blomgren, and Tony F. Chan. Numerical Linear Algebra with Applications, vol.5, issue 5, pp.347-358; June 5, 2002. [10.1002/nla.278] [google scholar]

17. Super-Resolution in Time-Reversal Acoustics.
    Peter Blomgren, George Papanicolaou, and Hongkai Zhao. Journal of the Acoustical Society of America, vol.111, issue 1, pp.230-248; January 2002. [10.1121/1.1421342] [google scholar]

18. Variational PDE Models and Methods for Image Processing.
    Peter Blomgren, Tony F. Chan, Pep Mulet, Luminita Vese, and Wing-Lok Wan. Numerical Analysis 1999, volume 420 of Research Notes in Mathematics, pages 43-67. Chapman & Hall / CRC, 2000. [non-doi link] [google scholar]

19. Color TV: Total Variation Methods for Restoration of Vector Valued Images.
    Peter Blomgren, and Tony F. Chan. IEEE Transactions on Image Processing, vol.7, issue 3, pp.304-309; March, 1998. [10.1109/83.661180] [google scholar]

Accepted/Appeared: Proceedings

1. Adaptive finite element method for image processing.
   Carlos Bazan, and Peter Blomgren. Proceedings of the COMSOL Multiphysics Conference 2005 Boston. ISBN: 0-9766792-0-5 [non-doi link]

2. Total Variation Image Restoration: Numerical Methods and Extensions.
   Peter Blomgren, Tony F. Chan, Pep Mulet, and C.K. Wong. Proceedings of the 1997 IEEE International Conference on Image Processing, vol III of III pp 384-387. [10.1109/ICIP.1997.632128]

3. Spatially Adaptive Local Feature-Driven Total Variation Minimizing Image Restoration.
   David M. Strong, Peter Blomgren, and Tony F. Chan. Proceedings of The International Society of Photo-Optical Instrumentation Engineers, SPIE, vol 3167, Statistical and Stochastic Methods in Image Processing II, pp 222-233. [10.1117/12.279642]

4. Extensions to Total Variation Denoising.
   Peter Blomgren, Tony F. Chan, and Pep Mulet. Proceedings of The International Society of Photo-Optical Instrumentation Engineers, SPIE , vol 3162, Advanced Signal Processing: Algorithms, Architectures, and Implementations VII, pp 267-375. [10.1117/12.279496]

Appeared: Theses

• Total Variation Methods for Restoration of Vector Valued Images.
  Peter Blomgren. Dissertation, Department of Mathematics, University of California, Los Angeles. June 1998. [non-doi link]

• A Renormalization Technique for Families with Flat Maxima.
  Peter Blomgren. M.Sc. Thesis, Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden. August 1994.