Variational Analysis of Spherical Images
This paper focuses on variational image analysis on a sphere. Since a sphere is a closed Riemannian manifold with the positive constant curvature and no holes, a sphere has similar geometrical properties with a plane, whose curvature is zero. Images observed through a catadioptric system with a conic-mirror and a dioptric system with fish-eye lens are transformed to images on the sphere. Therefore, in robot vision, image analysis on the sphere is an essential requirement to the application of the omni-directional imaging system with conic-mirror and fish-eye lens for navigation and control. We introduce algorithms for optical flow computation for images on a sphere.
KeywordsUnit Sphere Robot Vision Spherical Image Closed Riemannian Manifold Optical Flow Computation
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- 1.Zdunkowski, W., Bott, A.: Dynamics of the Atmosphere. Cambridge University Press, Cambridge (2003)Google Scholar
- 2.Morel, J.-M., Solimini, S.: Variational Methods in Image Segmentation. Rirkhaäuser (1995)Google Scholar
- 6.Baker, S., Nayer, S.: A theory of single-viewpoint catadioptric image formation International Journal of Computer Vision 35, 175–196 (1999)Google Scholar
- 14.Xu, C., Prince, J.L.: Gradient vector flow: A new external force for snakes. In: Proc. CVPR 1997, pp. 66–71 (1997)Google Scholar