Abstract
A set of multi-view panoramas may consist of various types of panoramic images in cylindrical representation, such as single-center, multi-center, concentric, symmetric, or (after a transformation onto a cylinder) catadioptric panoramas. In comparison with single-center imaging models, there are fewer studies on multiple view geometry for the multi-center cases. A generalized epipolar curve equation has been derived in a book publication in 2008. This article extends such result and presents a cost function whose minimization solves the camera pose estimation problem. Due to the non-linearity of the multi-centered projection geometry, the modeling of sensor pose estimation typically results into non-linear and highly complicated forms which incur numerical instability. This article focuses on evaluating a method for solving the pose estimation problem under a minor geometrical constraint, namely leveled panoramas. Extensive synthetic and real experiments along with a formal sensitivity analysis are carried out to demonstrate the robustness of the proposed method.
Similar content being viewed by others
References
Chen SE (1995) QuickTimeVR - an image-based approach to virtual environment navigation. In: Proc. SIGGRAPH’95, Los Angeles, California, USA, pp 29–38
Geyer C, Daniilidis K (2000) A unifying theory of central panoramic systems and practical applications. In: Proc. ECCV’00, Dublin, Ireland, pp 445–461
Hicks RA, Bajcsy R (2000) Catadioptric sensors that approximate wide-angle perspective projections. In: Proc. CVPR’00, Hilton Head, SC, USA, pp 545–551
Huang F, Klette R (2010) Stereo panorama acquisition and automatic image disparity adjustment for stereoscopic visalization. Multimed Tools Appl 47(3):353–377
Huang F, Wei S-K, Klette R (2001) Geometrical fundamentals of polycentric panoramas. In: Proc. ICCV’01., Vancouver, Canada, pp I:560–565
Huang F, Klette R, Scheibe K (2008) Panoramic imaging: sensor-line cameras and laser range-finders. Wiley, West Sussex, England
Huang F, Klette R, Xie Y-H (2008) Pose estimation for sensors which capture cylindric panroamas. In: Proc. CIARP’08, Havana, Cuba, pp 593–601
Huang F, Klette R, Xie Y-H (2009) Sensor pose estimation from multi-center cylindrical panroamas. In: Proc. PSIVT’09, Tokyo, Japan, 2009, pp 60–70
Ishiguro H, Yamamoto M, Tsuji S (1992) Omni-directional stereo. PAMI 14(2):257–262
Kang S-B, Szeliski R (1997) 3-d scene data recovery using omnidirectional multibaseline stereo. IJCV 25(2):167–183
Kang S-B, Desikan P (1998) Virtual navigation of complex scenes using clusters of cylindrical panoramic images. In: Graphics interface, pp 223–232
Klette R, Rosenfeld A (2004) Digital geometry. Morgan Kaufmann, San Francisco (2004)
Li Y, Shum H-Y, Tang C-K, Szeliski R (2004) Stereo reconstruction from multiperspective panoramas. IEEE Trans Pattern Anal Mach Intell 26(1):45–62
Li H, Hartley RI, Kim J-H (2008) A linear approach to motion estimation using generalized camera models. In: Proc. CVPR’08, Alaska, USA, pp 1–8
Murray D (1995) Recovering range using virtual multicamera stereo. CVIU 61(2):285–291
Nayar S (1998) Catadioptic omnidirectional cameras. In: Proc. CVPR’97, San Jaun, Puerto Rico, USA, pp 482–488
Pajdla T (2002) Stereo with oblique cameras. IJCV 47(1–3):161–170
Peleg S, Ben-Ezra M (1999) Stereo panorama with a single camera. In: Proc. CVPR’99, Fort Collins, Colorado, USA, pp 395–401
Reulke R, Scheele M (1998) Der drei-zeilen ccd-stereoscanner waac: grundaufbau und anwendungen in der photogrammetrie. Photogramm Fernerkund Geoinf 3:157–163
Scheibe K, Suppa M, Hirschmäller H, Strackenbrock B, Huang F, Liu R, Hirzinger G (2006) Multi-scale 3d-modeling. In: Proc. PSIVT’06, Hsinchu, Taiwan, pp 96–107
Shum H-Y, He L-W (1999) Rendering with concentric mosaics. In: Proc. SIGGRAPH’99, Los Angeles, California, USA, pp 299–306
Sturm P (2005) Multi-view geometry for general camera models. In: Proc. CVPR’05, San Diego, California, USA, pp 206–202
Zomet A, Feldman D, Peleg S, Weinshall D (2003) Mosaixing new views: the crossed-slit porjection. PAMI 25(6):741–754
Acknowledgements
This project was sponsored by the National Science Council of Taiwan, R.O.C. (NSC 99-2221-E-197 -024 and NSC 100-2221-E-197 -028). The author thanks Prof. Reinhard Klette for various valuable comments and Yun-Hao Xie and Yin-Wei Chang for help in performing some of the experiments.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Huang, F. Sensitivity analysis of pose recovery from multi-center panoramas. Multimed Tools Appl 72, 1193–1213 (2014). https://doi.org/10.1007/s11042-013-1438-4
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11042-013-1438-4