Perspective camera calibration has been i n the last decades a research subject for a large group of researchers and as a result several camera calibration methodologies can be found i n the literature. However only a small number of those methods base their approaches o n the use of monoplane calibration points. This paper describes one of those methodologies that uses monoplane calibration po...

In this paper we prove four theorems: one on surface singularities, two on F crystals, and one on moduli of p-divisible groups. The reason we put together these results in one paper is that the proofs, as given here, show how these theorems are related. Let us first describe our results. Let (S, 0) be a normal surface singularity over an algebraically closed field of characteristic p. Let S̃ → S...

This paper investigates convergence of the discontinuous finite volume method (DFVM) underminimal regularity assumptions on solutions of second order elliptic boundary value problems. Conventional analysis requires the solutions to be in Sobolev spacesH1+s, s > 1 2 . Here we assume the solutions are in H1+s, s > 0 and employ the techniques developed in Gudi (2010) [18,20] to derive error estima...

In this paper, we first present the complete list of the singularity types of the Picard number one Gorenstein log del Pezzo surface and the number of the isomorphism classes with the given singularity type. Then we give out a method to find out all singularity types of Gorenstein log del Pezzo surface. As an application, we present the complete list of the Dynkin type of the Picard number two ...

We study numerical approximations to solutions of a system of two nonlinear diffusion equations in a bounded interval, coupled at the boundary in a nonlinear way. In certain cases the system develops a blow-up singularity in finite time. Fixed mesh methods are not well suited to approximate the problem near the singularity. As an alternative to reproduce the behaviour of the continuous solution...

Finite time singularity formation in a fourth order nonlinear parabolic partial differential equation (PDE) is analyzed. The PDE is a variant of a ubiquitous model found in the field of microelectromechanical systems (MEMS) and is studied on a one-dimensional (1D) strip and the unit disc. The solution itself remains continuous at the point of singularity while its higher derivatives diverge, a ...

In this work we exploit an anfis network to achieve the singularities avoidance of a redundant robot. This latter must carry out a trajectory tracking in the Cartesian space near a singularity point. The singularity avoidance without affecting trajectory tracking is involved via selfmotion method. The analytical determination of this self motion is obtained on the optimization of scalar functio...

A higher order scheme is presented for the optimal correction method of Kanatani [5] for triangulation from two views and is compared with the method of Hartley and Sturm [3]. It is pointed out that the epipole is a singularity of the Hartley-Sturm method, while the proposed method has no singularity. Numerical simulation confirms that both compute identical solutions at other points. However, ...

Singularity is an inherent characteristic of a closed-chain manipulator. This paper presents an approach to singularity analysis of the planar 3-RRR parallel manipulator. On the basis of screw theory, the motion/force transmission analysis of the manipulator is first achieved. The singularity is classified into three types: constraint singularity, input transmission singularity, and output tran...

A direct function theoretic method is applied to solve a weakly singular integral equation whose kernel involves logarithmic singularity. This method avoids the occurrence of strong singularity. The solution of this integral equation is then applied to re-investigate the well known problem of water wave scattering by a partially immersed vertical barrier. c © 2008 Published by Elsevier Ltd