A Generalized Appriou's Model for Evidential Classification of Multispectral Images: A Case Study of Algiers City

In this paper, we shall describe an evidential supervised classifier of multispectral satellite images. The evidence theory of Dempster-Shafer (DST) is used to take into account the ignorance and the uncertainty related to data, and so, overcome the Bayesian classifier limits. Notice that application fields of DST are initially related on multisensor, multitemporal and multiscale data fusion. In this study, our contribution lies in developing an evidential classification process that can be seen as a multisource fusion process where each predefined thematic class is considered as one source of information. The evidential mass functions of the considered thematic hypotheses are estimated using Appriou's transfer model whose we propose to generalize to a multi-class case. Developed DST-classifier has been tested on multispectral ETM+ image covering the urban north-eastern part of Algiers (Algeria). The spectral validation of obtained evidential classes allows us to confirm the accuracy of the resulting land cover map.

[1]  Richard O. Duda,et al.  Pattern classification and scene analysis , 1974, A Wiley-Interscience publication.

[2]  Isabelle Bloch,et al.  Application of Dempster-Shafer evidence theory to unsupervised classification in multisource remote sensing , 1997, IEEE Trans. Geosci. Remote. Sens..

[3]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[4]  Lotfi A. Zadeh,et al.  Fuzzy Algorithms , 1968, Inf. Control..

[5]  Arthur P. Dempster,et al.  Upper and Lower Probabilities Induced by a Multivalued Mapping , 1967, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[6]  John A. Richards,et al.  Remote Sensing Digital Image Analysis , 1986 .

[7]  Isabelle Bloch Information combination operators for data fusion: a comparative review with classification , 1996, IEEE Trans. Syst. Man Cybern. Part A.

[8]  John A. Richards,et al.  Remote Sensing Digital Image Analysis: An Introduction , 1999 .

[9]  W. Pieczynski,et al.  Unsupervised Image Segmentation Using Dempster- Shafer Fusion in a Markov Fields Context , 1998 .

[10]  Philippe Smets,et al.  The Combination of Evidence in the Transferable Belief Model , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  Florentin Smarandache,et al.  Advances and Applications of DSmT for Information Fusion , 2004 .

[12]  P. Chatalic Raisonnement deductif en presence de connaissances imprecises et incertaines : un systeme base sur la theorie de dempster-shafer , 1986 .

[13]  P. Vannoorenberghe,et al.  Un état de l'art sur les fonctions de croyance appliquées au traitement de l'information , 2003 .

[14]  Thierry Denoeux,et al.  Analysis of evidence-theoretic decision rules for pattern classification , 1997, Pattern Recognit..

[15]  D. Dubois,et al.  A set-theoretic view of belief functions: Logical operations and approximations by fuzzy sets , 1986 .

[16]  Philippe Smets,et al.  Constructing the Pignistic Probability Function in a Context of Uncertainty , 1989, UAI.