We develop a new mesh segmentation algorithm via recursive spectral 2-way cut and
Nyström approximation. The cut is performed on 1-D spectral embeddings, which are …

Geospatial data are gathered through a variety of different methods. The integration and
handling of such datasets within a Digital Earth framework are very important in many …

Hierarchical grids appear in various applications in computer graphics such as subdivision
and multiresolution surfaces, and terrain models. Since the different grid types perform better …

Most frequently used subdivision schemes such as Catmull-Clark create regular regions
after several applications. This paper shows that all semi-regular regions can be created by …

During the last 20 years, the joint expansion of computing power, computer graphics,
networking capabilities and multiresolution analysis have stimulated several research …

Semiregular models are now ubiquitous in computer graphics. These models are
constructed by refining a model with an arbitrary initial connectivity. Due to the regularity …

Among the bivariate subdivision schemes available, spline-based schemes, such as
Catmull-Clark and Loop, are the most commonly used ones. These schemes have known …

We give a classification of subdivision refinement rules using similarity transformations of
lattices. Our work expands recent results in the classification of primal triangular subdivision …

This paper presents our preliminary results on regular meshes in which all faces have the
same size and all vertices have the same valence. A regular mesh is denoted by (n, m, g) …

Building subdivision schemes out of simple, very local and geometrically invariant averaging
rules is convenient both from a theoretical and practical point of view. We review the benefits …