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UCSD Computer Vision

Fredrik Kahl, PostDoc

More info at: http://www.maths.lth.se/matematiklth/personal/fredrik/





Projects


Theory of Illumination

Photometric Stereo

Photometric Stereo is a common method to acquire the shape of objects. We seek to extend the technique to non-Lambertian Reflectance, use differential methods to develop a new framework, and unify photometric stereo with shape from shading and structure from motion within the differential framework...

Globally Optimal Structure and Motion Estimation

In this line of work, we persent globally optimal solutions to several important problems in multiview geometry. Structure from motion problems are inherently non-convex and these works rely on efficient construction of relaxations using developments in convex optimization and algebraic geometry.




Publications


2008
Kahl F., Agarwal S., Chandraker M., Kriegman D., Belongie S., "Practical Global Optimization for Multiview Geometry", IJCV, vol. 79, no. 3, pp. 271-284, 2008. [BibTex][pdf]
2007
Chandraker M., Agarwal S., Kahl F., Kriegman D., Nister D., "Autocalibration via Rank-Constrained Estimation of the Absolute Quadric", CVPR, Minneapolis, 2007. [BibTex][pdf]
2006
Agarwal S., Chandraker M., Kahl F., Kriegman D., "Practical Global Optimization for Multiview Geometry", European Conference on Computer Vision (ECCV), pp. 271-284, May, 2006. [BibTex][pdf]
Agarwal S., Chandraker M., Kahl F., Kriegman D., Belongie S., "Practical Global Optimization for Multiview Geometry ", European Conference on Computer Vision (ECCV), vol. 1, Graz, Austria, pp. 592-605, 2006. [BibTex][pdf]
2005
Kahl F., Henrion D., "Globally Optimal Estimates for Geometric Reconstruction Problem", IEEE International Conference on Computer Vision (ICCV), Beijing, pp. 978-985, October, 2005. [BibTex][pdf]
Kahl F., "Multiple View Geometry and the L-infinity Norm", IEEE International Conference on Computer Vision (ICCV), Beijing, October, 2005. [BibTex][pdf]
Stewenius H., Nister D., Kahl F., Schaffalitzky F., "A Minimal Solution for Relative Pose with Unknown Focal Length", IEEE Conference on Computer Vision and Pattern Recognition (CVPR), San Diego, pp. 789–794, June, 2005. [BibTex][pdf]
Solem J., Kahl F., Heyden A., "Visibility Constrained Surface Evolution", IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 892- 899, June, 2005. [BibTex][pdf]
Chandraker M., Kahl F., Kriegman D., "Reflections on the Generalized Bas-Relief Ambiguity", IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp. 788 - 795, June, 2005. [BibTex][pdf]