The problem of determining the free surface due to a jet against a vertical plate is considered. The classical problem of free streamline flow of an ideal fluid has been studied by many authors [1− 4] . The first work in this type of problem is characterized by the use of the Schwartz-Christoffel formula. The latter can treat the flows of border, which combines rectilinear paroies and a free su...

Steady and unsteady two-dimensional free surface flows subjected to one or multiple disturbances are considered. Flow configurations involving either a single fluid or two layers of fluid of different but constant densities, are examined. Both the effects of gravity and surface tension are included. Fully nonlinear boundary integral equation techniques based on Cauchy’s integral formula are use...

It is widely appreciated that 3D structures may be computed from multiple 2D images of the same scene given point correspondences between images. We review the process from a projective geometry perspective. Of greater interest, however, is the generation of surfaces that give a compact representation of the geometric model. Assuming we are dealing with smooth surfaces, we show that B-spline is...

A strong argument is found in support of the integrability of free-surface hydrodynamics in the one-dimensional case. It is shown that the first term in the perturbation series in powers of nonlinearity is identically equal to zero, the consequences of which are discussed as well. 1. It is well known that the equations describing an ideal fluid with a free surface in a gravity field are complet...

We present a detailed analysis of the free energy surface of a well characterized rigid model for water in supercooled states. We propose a functional form for the liquid free energy, supported by recent theoretical predictions [Y. Rosenfeld and P. Tarazona, Mol. Phys. 95, 141 (1998)], and use it to locate the position of a liquid-liquid critical point at T(C')=130+/-5 K, P(C')=290+/-30 MPa, an...

While it is possible to model a general closed surface of arbitrary genus as a single implicit surface patch, the geometry of such a global surface is di cult to specify, interactively control, and polygonize. The main di culties stem from the fact that implicit representations are iso-contours which generally have multiple real sheets, self{intersections and several other undesirable singulari...

The process of modelling is much easier, if mathematical description of an abject, or at least of part of an object may be applied. In the first case, however, a mathematical description of the object may be unavailable. One way of solution, is to use as a model the coordinates of the infinitely many points of the object, but this is not feasible for a computer with finite storage. More often, ...

By J. M. LOPEZ, F. MARQUES, A. H. HIRSA AND R. MIRAGHAIE Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA Departament de Fı́sica Aplicada, Universitat Politècnica de Catalunya, Jordi Girona Salgado s/n, Mòdul B4 Campus Nord, 08034 Barcelona, Spain Department of Mechanical, Aerospace, and Nuclear Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180...

Three different reformulations of a free surface problem as shape optimization problems are considered. These give rise to three different cost functionals which apparently have not been exploited in literature. The shape derivatives of the cost functionals are explicitly determined. The gradient information is combined with the boundary variation method in a steepest descent algorithm to solve...

In this paper, we propose a novel algorithm to evaluate the possible point matches established by the traditional ICP algorithm in the process of matching two overlapping free form surfaces represented as two sets of unorganised points. While the existing methods mainly use feature matching to establish or evaluate possible correspondences between the surfaces to be matched, our novel approach ...