Pseudoconvex Proximal Splitting for L-infinity Problems in Multiview Geometry

作者: Anders Eriksson , Mats Isaksson

DOI: 10.1109/CVPR.2014.518

关键词:

摘要: In this paper we study optimization methods for minimizing large-scale pseudoconvex ∞ problems in multiview geometry. We present a novel algorithm solving class of problem based on proximal splitting methods. provide brief derivation the proposed method along with general convergence analysis. The resulting meta-algorithm requires very little effort terms implementation and instead makes use existing advanced solvers non-linear optimization. Preliminary experiments number real image datasets indicate that experimentally matches or outperforms current state-of-the-art problems.

参考文章(19)
Zhijun Dai, Yihong Wu, Fengjun Zhang, Hongan Wang, A Novel Fast Method for L  ∞  Problems in Multiview Geometry Computer Vision – ECCV 2012. pp. 116- 129 ,(2012) , 10.1007/978-3-642-33715-4_9
Noah Snavely, Steven M. Seitz, Sameer Agarwal, Fast algorithms for L INFINITY problems in multiview geometry. computer vision and pattern recognition. ,(2008)
Carl Olsson, Olof Enqvist, Stable structure from motion for unordered image collections scandinavian conference on image analysis. ,vol. 6688, pp. 524- 535 ,(2011) , 10.1007/978-3-642-21227-7_49
Simon Setzer, Split Bregman Algorithm, Douglas-Rachford Splitting and Frame Shrinkage international conference on scale space and variational methods in computer vision. pp. 464- 476 ,(2009) , 10.1007/978-3-642-02256-2_39
Patrick L. Combettes, Jean-Christophe Pesquet, Proximal Splitting Methods in Signal Processing Fixed-point algorithms for inverse problems in science and engineering, 2011, ISBN 978-1-4419-9568-1, págs. 185-212. pp. 185- 212 ,(2011) , 10.1007/978-1-4419-9569-8_10
Jos F. Sturm, Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones Optimization Methods & Software. ,vol. 11, pp. 625- 653 ,(1999) , 10.1080/10556789908805766
Carl Olsson, Fredrik Kahl, Generalized Convexity in Multiple View Geometry Journal of Mathematical Imaging and Vision. ,vol. 38, pp. 35- 51 ,(2010) , 10.1007/S10851-010-0207-5
Carl Olsson, Anders Eriksson, Richard Hartley, None, Outlier removal using duality computer vision and pattern recognition. pp. 1450- 1457 ,(2010) , 10.1109/CVPR.2010.5539800
Simon Setzer, Operator Splittings, Bregman Methods and Frame Shrinkage in Image Processing International Journal of Computer Vision. ,vol. 92, pp. 265- 280 ,(2011) , 10.1007/S11263-010-0357-3