A comparison of projective reconstruction methods for pairs of views

Recently, different approaches for uncalibrated stereo have been suggested which permit projective reconstruction from multiple views. These use weak calibration which is represented by the epipolar geometry, and so no knowledge of the intrinsic or extrinsic camera parameters is required. We consider projective reconstructions from pairs of views, and compare a number of the available methods. Consequently we conclude which methods are most likely to be of use in applications that are dependent on 3D uncalibrated reconstructions.<<ETX>>

[1]  Philip H. S. Torr,et al.  Outlier detection and motion segmentation , 1993, Other Conferences.

[2]  Bernd Sturmfels,et al.  Algorithms in invariant theory , 1993, Texts and monographs in symbolic computation.

[3]  Long Quan,et al.  Relative 3D Reconstruction Using Multiple Uncalibrated Images , 1993, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.

[4]  A. Venetsanopoulos,et al.  Order statistics in digital image processing , 1992, Proc. IEEE.

[5]  Andrew Zisserman,et al.  Geometric invariance in computer vision , 1992 .

[6]  Long Quan,et al.  Relative 3D Reconstruction Using Multiple Uncalibrated Images , 1995, Int. J. Robotics Res..

[7]  Olivier D. Faugeras,et al.  Building a Consistent 3D Representation of a Mobile Robot Environment by Combining Multiple Stereo Views , 1987, IJCAI.

[8]  Amnon Shashua,et al.  Algebraic Functions For Recognition , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  Olivier D. Faugeras,et al.  What can be seen in three dimensions with an uncalibrated stereo rig , 1992, ECCV.

[10]  O. D. Faugeras,et al.  Camera Self-Calibration: Theory and Experiments , 1992, ECCV.

[11]  Christopher G. Harris,et al.  3D positional integration from image sequences , 1988, Image Vis. Comput..

[12]  Rachid Deriche,et al.  Robust Recovery of the Epipolar Geometry for an Uncalibrated Stereo Rig , 1994, ECCV.

[13]  Thierry Viéville,et al.  Canonic Representations for the Geometries of Multiple Projective Views , 1994, ECCV.

[14]  C. E. Springer,et al.  Geometry and Analysis of Projective Spaces , 1967 .

[15]  Patrick Gros,et al.  Outils géométriques pour la modélisation et la reconnaissance d'objets polyédriques. (Geometric tools for modeling and recognizing polyhedral objects) , 1993 .

[16]  Rajiv Gupta,et al.  Stereo from uncalibrated cameras , 1992, Proceedings 1992 IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[17]  H. C. Longuet-Higgins,et al.  A computer algorithm for reconstructing a scene from two projections , 1981, Nature.

[18]  Andrew Blake,et al.  Planar region detection and motion recovery , 1993, Image Vis. Comput..

[19]  Richard I. Hartley,et al.  Projective Reconstruction and Invariants from Multiple Images , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[20]  O. Faugeras Three-dimensional computer vision: a geometric viewpoint , 1993 .