, Experiments on a real satellite image The computation of the complete scene at Figure 3.11-(a) took 4 hours and 21 minutes and 36 seconds
83 5.2 Overview on combination rules of dependent belief functions, p.84 ,
85 5.3.1 Reminders and notations 85 5.3.2 Copulas as conjunctive aggregation functions ,
88 5.4.1 Random sets and Conjunctive combination of dependent consonant belief functions using copula, p.88 ,
Credal dependent fusion: disjunctive aggregation rule, p.90 ,
, , p.91
93 5.7.1 Consonant mass functions estimation, p.94 ,
, , p.100
Conclusion 3.9 Computation time depending on the feature space dimension. SOM-based approach is more appropriated for processing large amount of data than, p.56 ,
False color composite of the SPOT image, p.57 ,
, Classification results in 2 ? with decision by maximum of pignistic probability over all simples hypotheses: (a) SOM-based BBA. (b) DC results, p.58
Classification results in 2 ? with decision by maximum of pignistic probability over all simples hypotheses and all disjunctions of hypotheses: (a) SOM-based BBA. (b) DC results, p.59 ,
Classification results in 2 ? with decision by maximum of pignistic probability: (a) SOM-based approach, p.60 ,
Classification results in D ? with decision by maximum of generalized pignistic probability over all simples hypotheses and all conjunctions of hypotheses: (a) SOM-based approach. (b) DC results, p.61 ,
Credal classification results in D ? through the SOM-based approach: maximum of generalized pignistic probability, p.63 ,
Data fusion levels (a) Low-level fusion or pixel fusion (b) Attributes fusion (c) High-level fusion or decision fusion, p.67 ,
A first coarse joint classification is performed, yielding C MS?? SAR which guarantees class homogeneity between the 2 sensors Kohonen's map is trained from optical multispectral data I MS to yield SOM MS , and then from parameters extracted from the radar data with an enslaved constraint on the location of the neurons of SOM ? SAR |MS . From Kohonen's maps, BBA is performed and then specific discounting operators are applied on the mass depending on their reliability (that yields m ? MS and m ? SAR ). Fusion is performed by PCR6 rule and decision-making is ensured with the maximum of Pignistic probability to yield a joint land cover classification, p.70 ,
radar (b) images acquired over Beauce, France, used in the experiments, Multispectal, p.75 ,
I ? SAR image corresponding to the SAR texture information with false color composition: RGB=(µ, ?, ? 1 ), p.76 ,
Unsupervised K-means classification results (with K = 5 classes) applied jointly on multispectral and SAR information, p.77 ,
The map (a) has been trained with the optical data only, while the map (b) has been enslaved to map (a) and trained with radar data. Hence, co-located neurons bring the same ground information between the 2 maps, SOM maps of size 65 × 65 neurons, p.77 ,
Joint classification results with decision by maximum of pignistic probability over all simples hypotheses, p.78 ,
Results for joint classification with simulated cloud cover. The decision is performed by the maximum of pignistic probability over all simples hypotheses, p.79 ,
8-(b) Correct Classification Rate (CCR) of 72.28 % for masked zone 1 and 75.60% for masked zone 2, p.80 ,
Copulas and t-norms as aggregation functions, p.92 ,
Sample from the seeds training base, with ? = 0.0097, are shown in grey, simulated models with ? = 0.0097 is shown in blue for Frank copula, in red for Clayton copula and Green for Gumbel copula. Best goodness-of-fit is given by Frank copula, p.95 ,
Sample from the seeds training base, with ? = 0.7132, are shown in grey, simulated models with ? = 0.7132 is shown in blue for Frank copula, in red for Clayton copula and Green for Gumbel copula. Best goodness-of-fit is given by Gumbel copula, p.96 ,
, , p.97
Classification results for the weak dependent case in seeds base (cf. Figure 5.2). X stands for the " asymmetry coefficient " and Y for the " length of kernel groove " components of the seeds database, p.98 ,
Classification results for the high dependent case in seeds base (cf. Figure 5.3). X stands for the " length of kernel " and Y for the " length of kernel groove " components of the seeds database, p.99 ,
, , p.100
Caractéristiques des bases de données UCI utilisés pour ,
,
, , p.13
,
Example of some special classes of mass functions where the conditions imposed by their definitions are putted in boldface, p.24 ,
The sequence of Dedekind's numbers, p.35 ,
, , p.37
Characteristics of the UCI data sets used for comparison, p.54 ,
, Classification results of SOM-based BBA in 2 ? for different value of ?, p.55
Classification results in 2 ? of EVCLUS, ECM and SOM-based BBA with decision by the maximum of pignistic probability, p.55 ,
DST legend used on classification results of Figure 3, p.58 ,
, Quantitative results in 2 ? obtained using the confusion matrix for DC approach, p.59
Quantitative results in 2 ? obtained using the confusion matrix for the proposed SOM-based approach, p.60 ,
Legend used for classification D ? shown in Figure 3, p.62 ,
, Quantitative results in D ? obtained using the confusion matrix for DC approach, p.62
Quantitative results in D ? obtained using the confusion matrix for the proposed SOM-based approach, p.62 ,
, , p.71
Local moments measures computed from the SAR image, p.72 ,
Quantitative results obtained using the confusion matrix, p.79 ,
Means and covariances of generated data sets, p.100 ,
, , p.101
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