Abstract

A generic probabilistic model, under fundamental Bayes’ rule and Markov assumption, is introduced to integrate the process of mobile platform localization with optical sensors. And based on it, three relative independent solutions, bundle adjustment, Kalman filtering and particle filtering are deduced under different and additional restrictions. We want to prove that first, Kalman filtering, may be a better initial-value supplier for bundle adjustment than traditional relative orientation in irregular strips and networks or failed tie-point extraction. Second, in high noisy conditions, particle filtering can act as a bridge for gap binding when a large number of gross errors fail a Kalman filtering or a bundle adjustment. Third, both filtering methods, which help reduce the error propagation and eliminate gross errors, guarantee a global and static bundle adjustment, who requires the strictest initial values and control conditions. The main innovation is about the integrated processing of stochastic errors and gross errors in sensor observations, and the integration of the three most used solutions, bundle adjustment, Kalman filtering and particle filtering into a generic probabilistic localization model. The tests in noisy and restricted situations are designed and examined to prove them.

Highlights

  • Bundle adjustment based on least square methods is the main technic for the image or called sensor or platform localization

  • The same rule is suitable for extended Kalman filtering (EKF) and other so called robust methods as ||L||1

  • In the 1990s particle filtering was gradually applied to sensor localization in the field of robotics, especially in its branch study, simultaneous localization and mapping (SLAM) (Thrun et al 2001)

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Summary

INTRODUCTION

Bundle adjustment based on least square methods is the main technic for the image or called sensor or platform localization. Particle filtering itself is a robust method against outliers and does not require extra gross error detection methods to be imbedded Another property of particle filtering is, it can handle the situation with no initial status, for example, a robot kidnaping problem. The three mainstream technics, bundle adjustment, EKF and particle filtering, can compensate each other theoretically when we meet a special difficult localization problem considering their different properties. The former test will be handled with first EKF and a global bundle adjustment, and the last with first particle filtering and bundle adjustment

A generic probabilistic localization model
The three solutions to the model
D T 1 t
A simple simulated comparison of the three solutions
A HIERARCHICAL SOLVING STRATEGY FOR OPTICAL MOBILE CAMERAS
Motion models
Observation models
The hierarchical solving strategy
Text design
Method
Method RO
Findings
Conclusions

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