Abstract This chapter introduces general frame-independent relations between the observable anisotropy parameters. Some of these reflect geometrical properties distribution, including inequalities that delimit allowed phase space parameters, and representation distribution in a “canonical” form. The most interesting relation defines rotation-invariant parameter expressing intrinsic nature polar...

Camera calibration is essential to many computer vision applications. Most existing calibration algorithms in the literature consist of estimating both intrinsic and extrinsic camera parameters through non-linear iterative minimizations using only point features. We show that using lines and planes in a consistant framework allows to rst entirely decouple intrinsic and extrinsic camera paramete...

This work presents the isotropic and orthogonal decomposition of 2D signals into local geometrical and structural components. We will present the solution for 2D image signals in four steps: signal modeling in scale space, signal extension by higher order generalized Hilbert transforms, signal representation in classical matrix form, followed by the most important step, in which the matrixvalue...

Thin, viscous fluid threads falling onto a moving belt behave in a way reminiscent of a sewing machine, generating a rich variety of periodic stitchlike patterns including meanders, W patterns, alternating loops, and translated coiling. These patterns form to accommodate the difference between the belt speed and the terminal velocity at which the falling thread strikes the belt. Using direct nu...

1 The purpose of this paper is to study how the different propagation environments as well as antenna configurations impact on the performances of space-time block coded (STBC) MIMO systems. Based on the geometrical differences such as one-ring model and elliptical model with different distributions of scatters, the comparisons on system performances are presented here. The impacts of the mean ...

We exploit the geometrical superfield formalism to derive the local, covariant and continuous Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations and the non-local, non-covariant and continuous dual-BRST symmetry transformations for the free Abelian one-form gauge theory in four (3+1)-dimensions (4D) of spacetime. Our discussion is carried out in the framework of BRST invariant Lagrangian...

We consider linear ill-posed inverse problems y = Ax, in which we want to infer many count parameters x from few count observations y, where the matrix A is binary and has some unimodularity property. Such problems are typical in applications such as contingency table analysis and network tomography (on which we present testing results). These properties of A have a geometrical implication for ...

In order to reduce the dipole wake encountered by the first few bunches accelerated in a multibunch NLC scenario the DDS (damped detuned structure) was re-designed such that a much improved Gaussian fall-off occurs in the initial wake-function. From the 9 parameterised model of DDS 1 we use a mapping function to allow DDS 3 & 4 to be modeled and hence avoid additional and prohibitively time con...

This paper presents the use of artificial intelligence techniques such as fuzzy logic for nondestructive X-ray testing of various products. The original presented algorithm proposes the defect presence testing in two stages in the radiographic image obtained from the inspected product. The first stage of the algorithm checks whether a possible defect (an area from the radiographic image) corres...

Dynamic behavior of a circular shaft with geometrical nonlinearity and constant spin, subjected to periodic axial load is investigated. The case of parametric combination resonance is studied. Extension of shaft center line is the source of nonlinearity. The shaft has gyroscopic effect and rotary inertia but shear deformation is neglected. The equations of motion are derived by extended Hamilto...