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Journal ArticleDOI

Sensor fusion in anti-personnel mine detection using a two-level belief function model

Nada Milisavljevic, +1 more
- Vol. 33, Iss: 2, pp 269-283
TLDR
A two-level approach for modeling and fusion of antipersonnel mine detection sensors in terms of belief functions within the Dempster-Shafer framework is presented and an original decision rule adapted to this type of application is proposed.
Abstract
A two-level approach for modeling and fusion of antipersonnel mine detection sensors in terms of belief functions within the Dempster-Shafer framework is presented. Three promising and complementary sensors are considered: a metal detector, an infrared camera, and a ground-penetrating radar. Since the metal detector, the most often used mine detection sensor, provides measures that have different behaviors depending on the metal content of the observed object, the first level aims at identifying this content and at providing a classification into three classes. Depending on the metal content, the object is further analyzed at the second level toward deciding the final object identity. This process can be applied to any problem where one piece of information induces different reasoning schemes depending on its value. A way to include influence of various factors on sensors in the model is also presented, as well as a possibility that not all sensors refer to the same object. An original decision rule adapted to this type of application is proposed, as well as a way for estimating confidence degrees. More generally, this decision rule can be used in any situation where the different types of errors do not have the same importance. Some examples of obtained results are shown on synthetic data mimicking reality and with increasing complexity. Finally, applications on real data show promising results.

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Citations
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Journal ArticleDOI

Defining belief functions using mathematical morphology -- Application to image fusion under imprecision

TL;DR: This paper proposes to use mathematical morphology for introducing imprecision in the mass and belief functions while estimating disjunctions of hypotheses to address the problem of defining belief functions for multi-source classification applications in image processing.
Journal ArticleDOI

An evaluation of several fusion algorithms for anti-tank landmine detection and discrimination

TL;DR: Seven different fusion methods are discussed, test, and compared: Bayesian, distance-based, Dempster-Shafer, Borda count, decision template, Choquet integral, and context-dependent fusion.
Journal ArticleDOI

Decision Fusion of Ground-Penetrating Radar and Metal Detector Algorithms—A Robust Approach

TL;DR: This paper presents multisensor decision-fusion algorithms that combine the local decisions of existing detection algorithms for different sensors and considers the optimal fusion of local decisions for two sensors: a ground-penetrating radar and a metal detector.
Journal ArticleDOI

Dissimilarity Metric Learning in the Belief Function Framework

TL;DR: A novel loss function to learn the dissimilarity metric is constructed, which quantifies the imprecision regarding the class membership of each training pattern, and controls the influence of unreliable input features on the output linear transformation.
Proceedings ArticleDOI

Discountings of a Belief Function Using a Confusion Matrix

TL;DR: An analysis of different approaches relative to the correction of belief functions based on the results given by a confusion matrix to assess the discounting rates to be assigned to a source of information.
References
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Book

A mathematical theory of evidence

Glenn Shafer
TL;DR: This book develops an alternative to the additive set functions and the rule of conditioning of the Bayesian theory: set functions that need only be what Choquet called "monotone of order of infinity." and Dempster's rule for combining such set functions.
Journal ArticleDOI

Information combination operators for data fusion: a comparative review with classification

TL;DR: A classification of operators issued from the different data fusion theories with respect to their behavior provides a guide for choosing an operator in a given problem and can be refined from the desired properties of the operators, from their decisiveness, and by examining how they deal with conflictive situations.
Journal ArticleDOI

Belief Functions: The Disjunctive Rule of Combination and the Generalized Bayesian Theorem

TL;DR: The Bayes’ theorem is generalized within the transferable belief model framework and the DRC and GBT and their uses for belief propagation in directed belief networks are analysed.
Book ChapterDOI

Constructing the Pignistic Probability Function in a Context of Uncertainty

TL;DR: The probability function is derived axiomatically the probability function that should be used to make decisions given any form of underlying uncertainty.

Technical Report - Randomized Hough Transform: Improved Ellipse Detection with Comparison

TL;DR: An algorithm for the detection of ellipse shapes in images, using the Randomized Hough Transform is described, found to give improvements in accuracy, and a reduction in computation time and the number of false alarms detected.