This PhD thesis aims at evaluating the interest of using multivariate distributions for the analysis of heterogeneous images. The considered heterogeneous data are composed of images acquired by different sensors (including optical, radar and hyperspectral sensors) and possibly of an object database (containing roads, building, …). The applications considered in this thesis are mainly image registration, change detection and database updating. All these applications require to define a similarity measure between the different images or between features estimated from these images (called modalities).
Various multivariate
statistical models can be used to describe the statistical properties
of the
image modalities and to derive appropriate similarity measures. These
models
can be parametric (e.g., see the references [C07], [CTFI07], [CT11],
[DV02],
[CTPI10]) or non parametric ([MMS08], [BLLP10], [BP05]). However, it is
not
very clear to determine whether these statistical models provide more
relevant similarity
measures than empirical methods derived
without using a priori knowledge on
the measured data (e.g., based on empirical mutual information or
empirical Kullback-Leibler
divergence). In particular, after selecting an appropriate multivariate
statistical model, statistical methods have to be investigated for
model
selection and parameter estimation. These methods require reliable a priori knowledge and a sufficient
spatial homogeneity of the data. By “a priori knowledge”, we mean the
data
extracted from the image and the resulting statistical model (there is
a vast
literature about multivariate distributions such as gamma, generalized
Gaussian,
Fisher, Pearson that have nice properties for remote sensing images). Regarding “spatial Homogeneity”, it is well
known that any estimation method requires a sufficient number of
samples
extracted from a homogeneous area to produce good estimates and (as a
result)
relevant similarity measures.
The main objective of this
PhD thesis is to put in balance the
complexity increase and the performance improvement of statistical
methods compared
to empirical ones, taking into account practical constraints (spatial
homogeneity and required number of samples). The performance will be
evaluated
for various decision tasks (image registration, change detection,
database
updating) in the case of heterogeneous data acquired from different
sensors
(optical and/or radar) or from decision systems (database).
The Signal and Communication
team of IRIT has been studying related
problems during the last years. Statistical models for remote sensing
images
have been investigated in three different theses:
·
Thesis of Florent Chatelain devoted to the study of
multivariate gamma distributions for SAR images
·
Thesis of Vincent Poulain devoted to the problem of
database updating
·
Thesis of Reza Shirvany devoted to the analysis of
polarimetric images
The candidates are invited to
consult the homepages of Jean-Yves
Tourneret (http://www.enseeiht.fr/~tourneret) and Marie
Chabert (http://www.enseeiht.fr/~chabert) for more
informations including a detailed list of publications.
Required skills: signal
and image processing, probability and
statistics
Bibliographie
[OQ98] C. Oliver and S. Quegan, Understanding Aperture Radar Images, Artech House, 1998.
[I03] J. Inglada, “Change
detection on SAR images by using a parametric estimation of the
Kullback-Leibler divergence,” In Proc. IEEE Int. Conf. Geosci. and
Remote
Sensing (IGARSS), pages 4104–4106,
[GNSRTR09] F. Galland, J.-M. Nicolas,
H. Sportouche, M. Roche, F. Tupin, and P. Réfrégier, “Unsupervised
Synthetic Aperture Radar Image Segmentation Using Fisher
Distributions,” IEEE Trans. on Geosci. and Remote Sensing, vol. 47,
no. 8,
August 2009.
[T10] F. Tupin
“Fusion of optical and SAR
observations,” dans Multivariate Image Processing, C. Collet, J.
Chanussot,
and K. Chehdi (Eds), Wiley,
[C07] F. Chatelain, Lois
Gamma multivariées pour le traitement d’images radar, Thèse de
l’INPT,
n°ordre 2525, 25 Octobre 2007.
[CTFI07] F. Chatelain, J-Y. Tourneret, A. Ferrari, and J.
Inglada, “Bivariate gamma distributions
for images registration and change detection,” IEEE Trans. on Image
Processing, 16(7):1796–1806, July 2007.
[DGH97] Y. Delignon, R. Garello, and
A. Hillion, Statistical modeling of ocean SAR images,
IEE Proc. on Radar, Sonar and Navig., 44(66):348–354, 1997.
[CT11] M. Chabert and J.-Y.
Tourneret, “Bivariate Pearson Distributions for remote
sensing images,” in Proc. IEEE Int. Conf. Geosci. and Remote
Sensing
(IGARSS),
[CB05] D. Cho and T. D. Bui, “Multivariate
statistical modeling for image denoising using wavelet transforms Signal
processing,” Image communication
2005, vol. 20, no1, pp. 77-89,
Elsevier.
[DV02] M. Do and M. Vetterli, “Wavelet-based
texture retrieval using generalized gaussian density and
kullback-leibler
distance,” IEEE Transactions on
Image Processing, vol. 11,
no. 2, pp. 146–158, February 2002.
[MMS08] G. Mercier, G. Moser and S.
B. Serpico, “Conditional Copulas for Change Detection in
Heterogeneous
Remote Sensing Images,” IEEE Trans. on
Geosci. and Remote Sensing, vol. 46, no. 5, May 2008.
[BLLP10] N. Brunel, J.
Lapuyade-Lahorgue, and W.
Pieczynski, « Modeling and unsupervised classification of
multivariate
hidden Markov chains with copulas », IEEE Trans. on Automatic
Control,
Vol. 55, No. 2, pp. 338-349, February 2010.
[BP05] N. Brunel and W. Pieczynski,
Unsupervised signal restoration using hidden Markov chains with
copulas, Signal
Processing, Vol. 85, No. 12, pp. 2304-2315, 2005.
[TPCI09] J.-Y. Tourneret, V. Poulain,
M. Chabert, and J.
Inglada, “Similarity measure between
vector data bases and optical images for change detection,” In
Proc. IEEE
Int. Conf. Geosci. and Remote Sensing (IGARSS), pages 992–995,
[CTPI10] M. Chabert, J.-Y. Tourneret, V. Poulain and J.
Inglada, “Logistic regression for
detecting changes between databases and remote sensing images,” In
Proc.
IEEE Int. Conf. Geosci. and Remote Sensing (IGARSS), Hawaï, July 2010.