Motion Recovery from Image Sequences: Discrete Viewpoint vs. Differential Viewpoint

The aim of this paper is to explore intrinsic geometric methods of recovering the three dimensional motion of a moving camera from a sequence of images. Generic similarities between the discrete approach and the differential approach are revealed through a parallel development of their analogous motion estimation theories.

[1]  W. Boothby An introduction to differentiable manifolds and Riemannian geometry , 1975 .

[2]  KanadeTakeo,et al.  Shape and motion from image streams under orthography , 1992 .

[3]  P. Perona,et al.  Motion estimation via dynamic vision , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[4]  Richard M. Murray,et al.  A Mathematical Introduction to Robotic Manipulation , 1994 .

[5]  David W. Murray,et al.  A unifying framework for structure and motion recovery from image sequences , 1995, Proceedings of IEEE International Conference on Computer Vision.

[6]  Thomas S. Huang,et al.  Uniqueness and Estimation of Three-Dimensional Motion Parameters of Rigid Objects with Curved Surfaces , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[7]  Allan D. Jepson,et al.  Linear subspace methods for recovering translational direction , 1994 .

[8]  Berthold K. P. Horn,et al.  Passive navigation , 1982, Comput. Vis. Graph. Image Process..

[9]  Thomas S. Huang,et al.  Theory of Reconstruction from Image Motion , 1992 .

[10]  Carlo Tomasi,et al.  Comparison of approaches to egomotion computation , 1996, Proceedings CVPR IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[11]  Olivier D. Faugeras,et al.  Motion analysis with a camera with unknown, and possibly varying intrinsic parameters , 1995, Proceedings of IEEE International Conference on Computer Vision.

[12]  Kenichi Kanatani,et al.  Geometric computation for machine vision , 1993 .

[13]  Xinhua Zhuang,et al.  A simplified linear optic flow-motion algorithm , 1988, Comput. Vis. Graph. Image Process..

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

[15]  Olivier D. Faugeras,et al.  Structure and motion from two noisy perspective views , 1987, Proceedings. 1987 IEEE International Conference on Robotics and Automation.

[16]  S. Shankar Sastry,et al.  Vision guided navigation for a nonholonomic mobile robot , 1997, Proceedings of the 36th IEEE Conference on Decision and Control.

[17]  Wojciech Chojnacki,et al.  Determining the egomotion of an uncalibrated camera from instantaneous optical flow , 1997 .