Decomposing a volume into high-quality hexahedral cells is a challenging task in geometric
modeling and computational geometry. Inspired by the use of cross field in quad meshing …

Many applications in computer graphics and related fields can benefit from automatic
simplification of complex polygonal surface models. Applications are often confronted with …

For twenty years, it has been clear that many datasets are excessively complex for
applications such as real-time display, and that techniques for controlling the level of detail …

Data reduction is increasingly being applied to scientific data for numerical simulations,
scientific visualizations and data analyses. It is most often used to lower I/O and storage …

We present a novel generalization of the quadric error metric used in surface simplification
that can be used for simplifying simplicial complexes of any type embedded in Euclidean …

Visualization algorithms have seen substantial improvements in the past several years.
However, very few algorithms have been developed for directly studying data in dimensions …

The techniques for reducing the size of a volume dataset by preserving both the geometrical/
topological shape and the information encoded in an attached scalar field are attracting …

Page 1 Principles of 3D Image Analysis and Synthesis Edited by B. Girod G. Greiner H. Niemann
Springer Science+Business Media, LLC Page 2 Principles of 3D Image Analysis and Synthesis …

We present a data structure which is able to represent heterogeneous 3-dimensional
polytopal cell complexes and is general enough to also represent non-manifolds without …

Multiresolution meshes are a common basis for building representations of a geometric
shape at different levels of detail. The use of the term multiresolution depends on the remark …