In this paper we describe a method for tracking rigid objects using one or several cameras. The tracking process consists of aligning a 3-D model representation of an object with image contours by measuring and minimizing the image error between predicted model points and image contours. The tracker behaves like a visual servo loop where the internal and external camera parameters are updated a...

This article deals with a quantitative aspect of Hilbert’s seventeenth problem : producing a collection of real polynomials in two variables of degree 8 in one variable which are positive but are not a sum of three squares of rational fractions. As explained by Huisman and Mahé, a given monic squarefree positive polynomial in two variables x and y of degree in y divisible by 4 is a sum of three...

In this paper, we present an in-depth analysis of a recently proposed method for speaker adaptation. The method involves a region-specific feature-space transformation, which we refer to as soft R-FMLLR. We argue that the method has certain difficulties, the most significant being the fact that it is noninvertible. An analysis that pertains to the singularity of the Jacobian matrix is presented...

This article deals with a quantitative aspect of Hilbert’s seventeenth problem : producing a collection of real polynomials in two variables of degree 8 in one variable which are positive but are not a sum of three squares of rational fractions. As explained by Huisman and Mahé, a given monic squarefree positive polynomial in two variables x and y of degree in y divisible by 4 is a sum of three...

We study systems of equations, F (x) = 0, given by piecewise differentiable functions F : R ! R, k " n. The focus is on the representability of the solution set locally as an (n # k)-dimensional Lipschitz manifold. For that, nonsmooth versions of inverse function theorems are applied. It turns out that their applicability depends on the choice of a particular basis. To overcome this obstacle we...

The subject of this paper is a Jacobian, introduced by F. Lazzeri (unpublished), associated to every compact oriented riemannian manifold whose dimension is twice an odd number. We start the investigation of Torelli type problems and Schottky type problems for Lazzeri’s Jacobian; in particular we examine the case of tori with flat metrics. Besides we study Lazzeri’s Jacobian for Kähler manifold...

We present a hierarchy of local coupled cluster (CC) linear response (LR) methods to calculate ionization potentials (IPs), i.e., excited states with one electron annihilated relative to a ground state reference. The time-dependent perturbation operator V(t), as well as the operators related to the first-order (with respect to V(t)) amplitudes and multipliers, thus are not number conserving and...

A numerically controlled machining verification method is developed based on a formulation for delineating the volume generated by the motion of a cutting tool on the workpiece (stock). Varieties and subvarieties that are subsets of some Eucledian space defined by the zeros of a finite number of analytic functions are computed and are characterized as closed form equations of surface patches of...

We study Jacobian inverse kinematics algorithms for mobile manipulators composed of a nonholonomic mobile platform and a holonomic onboard manipulator. In general, the Jacobian algorithms converge locally, often producing weird end effector and platform trajectories. In the paper we use the existing theory of Newton algorithms in order to improve the quality of convergence of the Jacobian algor...