Continuation methods are based on piecewise linear approximation of a variety (eg curve or
surface) by means of numerical solution of an initial value problem 7. In other words, they …

This article introduces the Hierarchical Run-Length Encoded (H-RLE) Level Set data
structure. This novel data structure combines the best features of the DT-Grid (of Nielsen and …

Three-dimensional (3D) geological models are important representations of the results of
regional geological surveys. However, the process of constructing 3D geological models …

Objective: Accurate and high-quality reconstructions of vascular structures are essential for
vascular disease diagnosis and blood flow simulations. These applications necessitate a …

Dental computer-aided design (CAD) systems have been intensively introduced to digital
dentistry in recent years. As basic digital models, volumetric computed tomography (CT) …

Background The effective geometric modeling of vascular structures is crucial for diagnosis,
therapy planning and medical education. These applications require good balance with …

A finite volume scheme for transport and diffusion problems on evolving hypersurfaces is
discussed. The underlying motion is assumed to be described by a fixed, not necessarily …

The preservation of the quality of 3D data along the possibly long chain from digital
scanning to 3D model deployment is of paramount importance within an increasing number …

We present a novel cost function to prioritize points and subsample a point set based on the
dominant geometric features and local sampling density of the model. This cost function is …

We introduce a new approach to mesh an animated implicit surface for rendering. Our
contribution is a method which solves stability issues of implicit triangulation, in the scope of …