Abstract
In this work, a statistical analysis of object detection for stereo vision-based driver assistance systems is presented. Analytic modelling has not been attempted previously due to the complexity of dense disparity maps and state-of-the-art algorithms. To approach this problem, a simplified algorithm for object detection in stereo images which allows studying error propagation is considered. In order to model the input densities, vehicle contours are approximated by Gaussian Mixture Models and distance dependent measurement noise is taken into account. Theoretical results are verified with Monte Carlo methods and real-world image sequences. Using the proposed model, a prediction on the uncertainty in object location and optimal threshold selection can be obtained.
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References
Badino, H.: Binocular Ego-Motion Estimation for Automotive Applications. Ph.D. thesis, Goethe Universitaet Frankfurt am Main (2008)
Barth, A.: Vehicle Tracking and Motion Estimation Based on Stereo Vision Sequences. Ph.D. thesis, Friedrich-Wilhelms-Universitaet zu Bonn (2010)
Chang, P., Hirvonen, D., Camus, T., Southall, B.: Stereo-based object detection, classification, and quantitative evaluation with automotive applications. In: Computer Vision and Pattern Recognition - Workshops, 2005. CVPR Workshops. IEEE Computer Society Conference on. pp. 62–62 (2005)
DasGupta, A.: Asymptotic theory of statistics and probability. Springer (2008)
Fessler, J.: Mean and variance of implicitly defined biased estimators (such as penalized maximum likelihood): applications to tomography. Image Processing, IEEE Transactions on 5(3), 493–506 (1996)
Hillenbrand, J., Kroschel, K.: A study on the performance of uncooperative collision mitigation systems at intersection-like traffic situations. In: Cybernetics and Intelligent Systems, 2006 IEEE Conference on. pp. 1–6 (2006)
Labayrade, R., Aubert, D., Tarel, J.P.: Real time obstacle detection in stereovision on non flat road geometry through “v-disparity” representation. In: Intelligent Vehicle Symposium, 2002. IEEE. vol. 2, pp. 646–651 vol. 2 (2002)
Matthies, L., Grandjean, P.: Stochastic performance, modeling and evaluation of obstacle detectability with imaging range sensors. Robotics and Automation, IEEE Transactions on 10(6), 783–792 (1994)
Nilsson, J.: Handbook of Augmented Reality, chap. Using Augmentation Techniques for Performance Evaluation in Automotive Safety, pp. 631–649. Springer (2011)
Pfeiffer, D.: The Stixel World. Ph.D. thesis, Humboldt-Universitaet zu Berlin (2012)
Pfeiffer, D., Morales, S., Barth, A., Franke, U.: Ground truth evaluation of the stixel representation using laser scanners. In: Intelligent Transportation Systems (ITSC), 2010 13th International IEEE Conference on. pp. 1091–1097 (2010)
Schneider, N., Gehrig, S., Pfeiffer, D., Banitsas, K.: An evaluation framework for stereo-based driver assistance. In: Real-World Scene Analysis 2011, LNCS. p. 2751 (2012)
Terejanu, G., Singla, P., Singh, T., Scott, P.D.: Uncertainty propagation for nonlinear dynamical systems using Gaussian mixture models. Journal of Guidance, Control, and Dynamics 31(6), 1622–1633 (2008)
Zhang, T., Boult, T.: Realistic stereo error models and finite optimal stereo baselines. In: Applications of Computer Vision (WACV), 2011 IEEE Workshop on. pp. 426–433 (2011)
Zheng, P., McDonald, M.: The effect of sensor errors on the performance of collision warning systems. In: Proceedings of the Intelligent Transportation Systems. pp. 469–474 (2003)
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Stellet, J.E., Schumacher, J., Lange, O., Branz, W., Niewels, F., Zöllner, J.M. (2016). Statistical Modelling of Object Detection in Stereo Vision-Based Driver Assistance. In: Menegatti, E., Michael, N., Berns, K., Yamaguchi, H. (eds) Intelligent Autonomous Systems 13. Advances in Intelligent Systems and Computing, vol 302. Springer, Cham. https://doi.org/10.1007/978-3-319-08338-4_54
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DOI: https://doi.org/10.1007/978-3-319-08338-4_54
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