Unknown Radial Distortion Centers in Multiple View Geometry Problems

The radial undistortion model proposed by Fitzgibbon and the radial fundamental matrix were early steps to extend classical epipolar geometry to distorted cameras. Later minimal solvers have been proposed to find relative pose and radial distortion, given point correspondences between images. However, a big drawback of all these approaches is that they require the distortion center to be exactly known. In this paper we show how the distortion center can be absorbed into a new radial fundamental matrix. This new formulation is much more practical in reality as it allows also digital zoom, cropped images and camera-lens systems where the distortion center does not exactly coincide with the image center. In particular we start from the setting where only one of the two images contains radial distortion, analyze the structure of the particular radial fundamental matrix and show that the technique also generalizes to other linear multi-view relationships like trifocal tensor and homography. For the new radial fundamental matrix we propose different estimation algorithms from 9,10 and 11 points. We show how to extract the epipoles and prove the practical applicability on several epipolar geometry image pairs with strong distortion that - to the best of our knowledge - no other existing algorithm can handle properly.

Evidência empírica dos factores explicativos dos dividendos distribuídos pelas empresas cotadas na EURONEXT Lisboa

Companies’ decision to pay dividends to its shareholders is a topic that has received increasing attention in business finance. This paper provides an additional contribution to the development of this topic focusing on the analysis of the determinants of dividend policy by issuing companies in the Portuguese capital market. For this purpose, we use a set of financial and economic information specific to each firm to explain its dividend per share. The sample used in the empirical study contains 54 firms and it refers to the 2005-2009 period. Results suggest that net income, dividends per share paid in the previous financial year and return on assets all present a positive and statistically significant effect on dividends per share paid in a given financial year. Moreover, results show that Lintner’s (1956) model appears to be valid in explaining dividend policy by issuing companies in Euronext Lisbon.