1. Super-resolution statistics and its military applications Stéfan van der Walt Computer Vision Group, Applied Mathematics University of Stellenbosch

2. Slide 2 © 2007 CSIR (http://www.csir.co.za)‏ Vision and Learning at Stellenbosch University Goal: allow computers to interpret what they “see” Wide variety of related activities: Biometrics Structure from motion Visual tracking Surveillance Image restoration Speech processing All are governed by statistics

3. Slide 3 © 2007 CSIR (http://www.csir.co.za)‏ Bayesian statistics Based on work by Rev. Thomas Bayes (1702—1761), Essay Towards Solving a Problem in the Doctrine of Chances, Philosophical Transactions of the Royal Society of London, 1764. P(A|B) = P(B|A) P(A) / K posterior = likelihood x prior / K A : aircraft is a Gripon B : exhaust thermal signature Rephrases the problem in an easily accessible way

4. Slide 4 © 2007 CSIR (http://www.csir.co.za)‏ My research Third year towards PhD, final year of LEDGER funding Methods used in increased resolution processing - polygon based interpolation and robust log-polar based registration. VISAPP (1) 2007: 135-140 Robust automated registration in the spatial domain. Proceedings of the seventeenth annual symposium of the Pattern Recognition Association of South Africa (PRASA). Parys, South Africa, 11/2006. Open source library to perform super-resolution processing

5. Slide 5 © 2007 CSIR (http://www.csir.co.za)‏ Super-resolution processing After-the-fact reconstruction Applications include object detection/classification, tracking, surveillance, satellite image post- processing David Capel, “Image Mosaicing and Super-resolution”, PhD thesis (2001) Techniques used on Hubble and Mars Military applications

6. Slide 6 © 2007 CSIR (http://www.csir.co.za)‏ Super-resolution explained

7. Slide 7 © 2007 CSIR (http://www.csir.co.za)‏ Increased-resolution radar processing When lighting up a scene, the reflection is not uniform in nature Try to accurately localise bright reflected spots Take into account antenna characteristics Typical application: locate armoured vehicle with high precision Current test data from rock surfaces in open-pit mines

8. Slide 8 © 2007 CSIR (http://www.csir.co.za)‏ Geometric interpretation

9. Slide 9 © 2007 CSIR (http://www.csir.co.za)‏ Non-linear filtering

10. Slide 10 © 2007 CSIR (http://www.csir.co.za)‏ Links with industry and academia University of Pretoria Development of image processing algorithms for real-time object detection Industry Reutech Radar Systems Electronic Development House Academia NumPy/SciPy development team Colleagues at University of Colorado, Berkeley and others

11. Slide 11 © 2007 CSIR (http://www.csir.co.za)‏ Conclusion One year towards completion of PhD Acquired and re-distributed knowledge about wide variety of image processing techniques, computational geometry, numerical algorithms...... with military applications Further research in radar data processing Completion of libraries for super-resolution, object detection, radar processing

12. Slide 12 © 2007 CSIR (http://www.csir.co.za)‏ With thanks to... M.L. Barry K.D. Palmer LEDGER for a wonderful research opportunity. Please stay in touch: stefan@sun.ac.zastefan@sun.ac.za