Introduction
MiLab gives support to the Mathematical Imaging and Computational Intelligence Group at the Department of Applied Mathematics, IMECC, University of Campinas. MiLab grew out of research in image reconstruction, in particular tomography. Currently, the main research directions are:
- Mathematical Imaging:
- Single photon emission computed tomography (SPECT)
- X-ray fluorescence tomography (XFCT)
- The generalized attenuated Radon Transform
- Optimization in tomography and compressed sensing
- Magnetic resonance
- Gibbs phenomenon
- Foundations of mathematical morphology in lattice theory
- Extensions of fuzzy mathematical morphology and applications in image processing
- Computational Intelligence:
- Computational intelligence based on lattice theory
- Morphological neural networks
- Applications in pattern recognition and prediction
People
Faculty
 |
|
 |
Collaborators
 |
|
 |
|
 |
|
 |
|
 |
|
 |
|
 |
|
Graduate Students
 |
|
 |
|
 |
|
Recent Articles
- R.J. Santos and A.R. De Pierro, "The effect of the nonlinearity on GCV applied to Conjugate Gradients in Computerized Tomography, Computational & Applied Mathemtics", V 25, 1, pp1-18, 2006.
- A.R. De Pierro and F. Crepaldi, "Activity and attenuation recovery from activity data only in emission computed tomography, Computational & Applied Mathematics", 25, 2-3, 1-23, 2006.
- A.R. De Pierro, "Problemas Matematicos em Tomografia por Emissao, Matematica Universitaria", v41, 39-55, 2006.
- F. Crepaldi and A. R. De Pierro, "Simultaneous activity attenuation reconstruction for Positron Emission Tomography via maximum likelihood and iterative data refinement", IEEE Trans. Nuclear Science, 54, 1, part 1, 100-106, 2007.
- M. Wei, A.G. Martinez, A.R. De Pierro, "Detection of edges from spectral data: new results, Applied and Computational Harmonic Analysis", v. 22, 3, 386-393, may 2007.
- A.G. Martinez and A.R. De Pierro, "Approximating functions from sampled Fourier data using spline pseudofilters", IEEE Trans. Signal Processing, 56,4,1489-1501, april 2008.
- R.J. Santos and A.R. De Pierro, "A new parameters choice method for ill-Posed problems with Poisson data and its application to emission tomographic imaging", International Journal of Tomography & Statistics, V. 11, S09, 33-52, 2009.
- A.R. De Pierro and E.S. Helou, "From convex feasiblity to convex constrained optimization using block action projection methods and underrelaxation", International Transactions in Operational Research, 16, 495-504, 2009.
- M.W. Zibetti and A.R. De Pierro, "A New Distortion Model for Strong Inhomogeneity Problems in Echo-Planar MRI", IEEE Transactions on Medical Imaging, accepted, 2009
- E.S. Helou and A.R. De Pierro, "Incremental subgradients for constrained convex optimization: a unified framework and new methods", SIAM J. Optim. Volume 20, Issue 3, pp. 1547-1572 (2009)
- R.J. Santos and A.R. De Pierro, "Improving the nonequispaced Fast Fourier Transform", under revision, 2009.
- E.X. Miqueles and A.R. De Pierro, "On the inversion of the XFCT Transform", Studies in Applied Mathematics, submitted, 2011.
- E.X. Miqueles, A.R. De Pierro, "Exact analytic reconstruction in x-ray fluorescence CT and approximate versions", Physics in Medicine and Biology, 55, 1007-1024, 2010.
- P. Sussner and M.E. Valle: "Gray-Scale Morphological Associative Memories", IEEE Transactions on Neural Networks, Vol. 17, No. 3, 559-570, May 2006
- P. Sussner and M.E. Valle: "Implicative Fuzzy Associative Memories," IEEE Transactions on Fuzzy Systems, Vol. 14, No. 6, pp. 793-807, December 2006
- M.E. Valle and P. Sussner: "A General Framework for Fuzzy Associative Memories," Fuzzy Sets and Systems, Vol. 159, No. 7, pp. 747-768, April, 2008
- P. Sussner and M.E. Valle: "Classification of Fuzzy Mathematical Morphologies Based on Concepts of Inclusion Measure and Duality", Journal of Mathematical Imaging and Vision, Vol. 32, No. 2, pp.139 - 159, October 2008
- Tom Melange, Mike Nachtegael, Peter Sussner, Etienne Kerre, "On the Construction of Interval-Valued Fuzzy Morphological Operators", in Fuzzy Sets and Systems, Vol.178, No.1, pp.84-101, September 2011.
- P. Sussner, E.L. Esmi, "Morphological Perceptrons with Competitive Learning: Lattice-Theoretical Framework and Constructive Learning Algorithm", Information Sciences, Volume 181, No.10, pp. 1929-1950, May 2011.
- Tom Melange, Mike Nachtegael, Peter Sussner, and Etienne Kerre: "On the Decomposition of Interval-Valued Fuzzy Morphological Operators", in Journal of Mathematical Imaging and Vision , Volume 36, No. 3, pp. 270-290, March 2010
- Mike Nachtegael, Peter Sussner, Tom Melange, Etienne Kerre, "On the Role of Complete Lattices in Mathematical Morphology: from Tool to Uncertainty Model", Information Sciences, Volume 181, No.10, pp.1971-1988, May 2011.
- E.X. Miqueles, "The Generalized Attenuated Radon Transform: Analytic Inversion, Approximations, Iterative Methods and applications on Fluorescence Tomography", Doctorate Thesis (portuguese), Applied Mathematics, UNICAMP, March 2010. pdf
- E.E.Laureano, "Modified Models of Morphological Neural Networks", Master Thesis (portuguese), Applied Mathematics, UNICAMP, June 2010. pdf
- M.E. Valle and P. Sussner, "Storage and Recall Capabilities of Fuzzy Morphological Associative Memories with Adjunction-Based Learning", Neural Networks, Volume 24, No.1, pp. 75-90, January 2011.
- Peter Sussner, Mike Nachtegael, Tom Melange, Glad Deschrijver, Estevao Esmi, Etienne Kerre, "Interval-Valued and Intuitionistic Fuzzy Mathematical Morphologies as Special Cases of L-Fuzzy Mathematical Morphology", Accepted for publication, Journal of Mathematical Imaging and Vision, March 2011.
- E.X.Miqueles, A.R.De Pierro, "Iterative Reconstruction in X-ray Fluorescence Tomography Basedo n Radon Inversion", IEEE Trans.Med.Imaging, 2011 Feb;30(2):438-50
- P. Sussner, E. L. Esmi, I. Villaverde, M. Grana: "The Kosko Subsethood Fuzzy Associative Memory (KS-FAM): Mathematical Background and Applications in Computer Vision", Volume 42, Numbers 2-3, pp. 134-149, February 2012, Journal of Mathematical Imaging and Vision, April 2011
Software
- RAFT : Reconstruction Algorithms for Tomography , by Eduardo Miqueles
- RECONSTRUCAO , by Elias Helou Neto
Contact
- For comments, questions, and suggestions about MiLab, please contact Alvaro R. De Pierro, at alvaro@ime.unicamp.br
- milab@ime.unicamp.br / (19) 3521-5926