This paper deals with the problem of analysing sequences of images taken by uncalibrated cameras. It is assumed that the correspondences between the points in the different images are known. This paper introduces a new framework for this problem. The situation of two cameras is described by the reduced fundamental matrix. Another new concept, the reduced fundamental tensor, describes the situat...

When the camera viewing an action is moving, the motion observed in the video not only contains the motion of the actor but also the motion of the camera. At each time instant, in addition to the camera motion, a different view of the action is observed. In this paper, we propose a novel method to perform action recognition in presence of camera motion. Proposed method is based on the epipolar ...

We study the rank and geometry of the multibody fundamental matrix, a geometric entity characterizing the two-view geometry of dynamic scenes consisting of multiple rigidbody motions. We derive an upper bound on the rank of the multibody fundamental matrix that depends on the number of independent translations. We also derive an algebraic characterization of the SVD of a multibody fundamental m...

We use conference matrices to define an action of the complex numbers on the real Euclidean vector space R. In certain cases, the lattice D n becomes a module over a ring of quadratic integers. We can then obtain new unimodular lattices, essentially by multiplying the lattice D n by a non-principal ideal in this ring. We show that lattices constructed via quadratic residue codes, including the ...

In this paper it is shown how to use corresponding conics in two images to estimate the epipolar geometry, the fundamental/essential matrix and reconstruct the scene. The corresponding conics can be images of either a planar conic or silhouettes of a quadric. It is shown that one conic correspondence gives two constraints on the fundamental matrix and a method to estimate the fundamental matrix...

In this paper, a new method for deter~niriing an optimized caniera viewpoint for soccer scene by tracking a ball is proposed. Soccer scene is taken by multiple fixed cameras. First, template matching is irnplemented for images taken with each camera to detect arid to track a ball. If the ball is occluded in one of images, tlie ball is tracked by using the position of the extracted ball in other...