Computer-Aided Design

Penetration depth (PD) is a distance measure that is used to describe the extent of overlap between two intersecting objects. Most of the prior work in PD computation has been restricted to translationalPD, which is defined as the minimal translational ...

This paper proposes a framework for constructing G^1 surfaces that interpolate data points on parallel cross sections, consisting of simple disjoined and non-nested contours, the number of which may vary from plane to plane. Using appropriately ...

Parametric and feature-based CAD models can be considered to represent families of similar objects. In current modelling systems, however, the semantics of such families are unclear and ambiguous. We present the Declarative Family of Objects Model (DFOM)...

Systematically generalizing planar geometric algorithms to manifold domains is of fundamental importance in computer aided design field. This paper proposes a novel theoretic framework, geometric structure, to conquer this problem. In order to discover ...

Many applications require the extraction of isolines and isosurfaces from scalar functions defined on regular grids. These scalar functions may have many different origins: from MRI and CT scan data to terrain data or results of a simulation. As a ...

Computer-aided surgical simulation is a topic of increasingly extensive research. Computer graphics, geometrical modelling and finite-element analysis all play major roles in these simulations. Furthermore, real-time response, interactivity and accuracy ...

In this paper, we present a system for simulating one dimensional flexible parts such as cables or hose. The modelling of bending and torsion follows the Cosserat model. For this purpose we use a generalized spring-mass system and describe its ...