The problem we study is; Given N views and a subset of the N2 interview fundamental matrices, which of the other fundamental matrices can we compute using only the precomputed fundamental matrices. This has applications in 3D reconstruction and when we want to reproject an area of one view on another, or to compute epipolar lines when the correspondence problem is too difficult to compute betwe...

Our main goal in this paper is to construct the first explicit fundamental domain of the Picard modular group acting on the complex hyperbolic space CH . The complex hyperbolic space is a Hermitian symmetric space, its bounded realization is the unit ball in C equipped with the Bergman metric. The Picard modular group is a discontinuous holomorphic automorphism subgroup of SU(2, 1) with Gaussia...

Dynamical systems with a network structure can display anomalous bifurcations as a generic phenomenon. As an explanation for this it has been noted that homogeneous networks can be realized as quotient networks of so-called fundamental networks. The class of admissible vector fields for these fundamental networks is equal to the class of equivariant vector fields of the regular representation o...

The geometric approach to force balance advocated by T. Hughes in a series of publications has challenged the analytic approach by implying that the latter does not adequately account for basal buoyancy on ice streams, thereby neglecting the contribution to the gravitational driving force associated with this basal buoyancy. Application of the geometric approach to Byrd Glacier, Antarctica, yie...

Real-time force and visual information during MWCNT manipulation is required for online controlling MWCNT assembly based on atomic force microscope (AFM). Here realtime three-dimensional (3D) interactive forces between probe and sample are obtained according to PSD signals based on the proposed force model, and MWCNT manipulation process can be online displayed on the visual interface according...

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...

We prove a strong form of model completeness for expansions of the field of real numbers by (the real and imaginary parts of) the modular function J, by the modular forms E4 and E6 and quasimodular form E2 defined in the usual fundamental domain, and the restricted sine function and the (unrestricted) exponential function. This is done using ideas of Peterzil and Starchenko’s paper [12] on the ...

We present an original multiple views method to perform a robust and detailed 3D reconstruction of a static scene from several images taken by one or more uncalibrated cameras. Making use only of fundamental matrices we are able to combine even heterogeneous video and/or photo sequences. In particular we give a characterization of camera matrices space consistent with a given fundamental matrix...

Every surface in the Euclidean space R3 admits a canonical Riemannian metric that has constant Gaussian curvature and is conformal to the original metric. Similarly, 3manifolds can be decomposed into pieces that admit canonical metrics. Such metrics not only have theoretical significance in 3-manifold geometry and topology, but also have potential applications to practical problems in engineeri...

“The findings, opinions, and conclusions of this report do not necessarily represent the views of the officers, trustees, all members of the task force, or all members of the American Psychiatric Association. The views expressed are those of the authors of the individual chapters. Task force reports are considered a substantive contribution of the ongoing analysis and evaluation of problems, pr...