Creating 2D and 3D models in CAD and following creation of drawings are standard procedures for constructing in the current industrial practice. Most models of industrially produced machine parts can be made by basic processes of modeling using construction or hybrid methods. Listed procedures are based on input of a basic – primitive body and its shaping using predefined design elements, combi...

In this paper, we present a free-form deformation (FFD) approach to manipulate point-sampled surface. Our approach provides users the powerful free-form deformation directly on point-sampled surface. In the preprocessing, we use a robust extension of hierarchical clustering scheme to partition a point-sampled model into clusters, fit a moving least square (MLS) surface to each of them, and defi...

The free-form surface matching problem is important in several practical applications, such as reverse engineering. An accurate, robust and fast solution is, therefore, of great significance. Recently genetic algorithms have attracted great interest for their ability to robustly solve hard optimization problems. In this work we investigate the performance of such an approach for finding the ini...

This work represents a first step towards the simulation of the motion of water in a complex hydrodynamic configuration, such as a channel network or a river delta, by means of a suitable “combination” of different mathematical models. In this framework a wide spectrum of space and time scales is involved due to the presence of physical phenomena of different nature. Ideally, moving from a hier...

Geodynamic simulations increasingly rely on simulations with a true free surface to investigate questions of dynamic topography, tectonic deformation, gravity perturbations, and global mantle convection. However, implementations of free surface boundary conditions have proven challenging from a standpoint of accuracy, robustness, and stability. In particular, free surfaces tend to suffer from s...

This paper describes the use of a previously developed surface model for representing 3D geometric information that is subject to uncertainty. The proposed model is based on a geometric data fusion technique that allows the efficient approximation of arbitrary triangular meshes in space with smooth surfaces. This paper shows how the shape modifiers defined in that model can be used to represent...

A novel technique for multi-scale smoothing of a freeform 3-D surface is presented. Complete triangulated models of 3-D objects are constructed at our center [4] and using a local parametrization technique, are then smoothed using a 2-D Gaussian filter. Our method for local parametrization makes use of semigeodesic coordinates as a natural and efficient way of sampling the local surface shape. ...

Expressive and efficient visualizations of complex vascular structures are essential for medical applications, such as diagnosis and therapy planning. A variety of techniques has been developed which provide smooth high-quality visualizations of vascular structures based on rather simple model assumptions. For diagnostic applications, these model assumptions and the resulting deviations from th...

Electrostatic jetting from a free liquid surface offers an alternative to conventional electrospinning in which jets are emitted from spinnerets. In this work we analyze a system in which a wire electrode is swept (in a rotary motion) through a bath containing a polymeric solution in contact with a high voltage, resulting in entrainment of the fluid, the formation of liquid droplets on the wire...

In many industrial processes, such as pouring a liquid or coating a rotating cylinder, air bubbles are entrapped inside the liquid. We propose that this is due to air being drawn into the narrow channel of a cusp singularity that generically forms on free surfaces. Since the width of the cusp is exponentially small in the driving strength, even the minute viscosity of air is enough to destroy t...