This paper describes a direct, self-contained method for planar image rectification of stereo pairs. The method is based solely on an examination of the Fundamental matrix, where an improved method is given for the derivation of two projective transformations that horizontally align all the epipolar projections. A novel approach is proposed to uniquely optimise each transform in order to minimi...

Accurate and robust estimation of the Fundamental matrix is very important for many computer vision applications, such as 3D reconstruction from 2D images. In this paper, a complete analysis and comparison of three important algorithms for estimating the Fundamental matrix when three views are given. The six-point algorithm originally used for three-view geometry is implemented for the automati...

We classify and review existing algorithms for computing the fundamental matrix from point correspondences and propose new effective schemes: 7-parameter Levenberg-Marquardt (LM) search, EFNS, and EFNS-based bundle adjustment. Doing experimental comparison, we show that EFNS and the 7-parameter LM search exhibit the best performance and that additional bundle adjustment does not increase the ac...

In this paper, we propose a novel method for synthesizing super-resolved images from image sequence taken with uncalibrated moving camera by integrating all frames in the sequence based on projective geometry between the frames. In this method, assuming that the object scene can be approximated with multiple plane patches, all frames in the input image sequence are registered with the fundament...

This paper deals with the problem of reconstruction from a sequence of images, by linear methods. The reconstruction is made directly, without calculating the fundamental matrices or the trilinear tensors. In a general setting it is shown that it is possible to do such a reconstruction of six points from four images up to a projective transformation. Furthermore, when more point matches are ava...

For linear di erential algebraic equations of tractability index the notion of the adjoint equation is analysed in full detail Its solvability is shown at the lowest possible smoothness The fundamental matrices of both equations are de ned and their relationships are characterized

The quadrifocal tensor which connects image measurements along 4 views is not yet well understood as its counterparts the fundamental matrix and the trifocal tensor. This paper establishes the structure of the tensor as an \epipolehomography" pairing

The fundamental question as to whether thin intergranular films can adopt an equilibrium thickness in polycrystalline ceramics is addressed. Two continuum approaches are presented, one based on interfacial energies and the other on the force balance normal to the boundary. These indicate that there will exist a stable thickness for the intergranular film and that it will be of the order of 1 nm...

We consider the fundamental matrix solution associated to piecewise smooth differential systems of Filippov type, in which the vector field varies discontinuously as solution trajectories reach one or more surfaces. We review the cases of transversal intersection and of sliding motion on one surface. We also consider the case when sliding motion takes place on the intersection of two or more su...

José Henrique Brito12 [email protected] Christopher Zach4 [email protected] Kevin Köser3 [email protected] Manuel João Ferreira2 [email protected] Marc Pollefeys3 [email protected] 1 Instituto Politécnico do Cávado e do Ave Barcelos, Portugal 2 Universidade do Minho Guimarães, Portugal 3 Computer Vision and Geometry Group ETH Zurich, Switzerland 4 Machine Learning and Perc...