Introduction Conclusions References

Stellar and Galactic astronomy will be revolutionized by the massive surveys now taking place, or in the planning stages. These surveys include ground-based projects (Pan-STARRS, RAVE, SDSS/SEGUE, etc.) and space-based (Gaia), but all have a common theme, to collect data that will enable the determination of the physical parameters of stars with the goal of unravelling the structure and evoluti...

In the field of mesh parameterization, the impact of angular and boundary distortion on parameterization quality have brought forward the need for robust and efficient free boundary angle preserving methods. One of the most prominent approaches in this direction is the Angle Based Flattening (ABF) which directly formulates the problem as a constrained nonlinear optimization in terms of angles. ...

A common task in geometric modelling is to interpolate a sequence of points or derivatives, sampled from a curve, with a parametric polynomial or spline curve. To do this we must first choose parameter values corresponding to the interpolation points. The important issue of how this choice affects the accuracy of the approximation is the focus of this paper. The underlying principle is that ful...

We propose a simple phenomenological parameterization of quint-essence with a time-varying equation of state. In particular, it accounts for the possibility of early dark energy. The quintessence potential can be reconstructed in terms of the present fraction in dark energy, the present equation of state and the amount of early dark energy. Distinguishing quintessence-a time varying dark energy...

Triangular meshes are often used to represent surfaces, at least initially, one reason being that meshes are relatively easy to generate from point cloud data. However, we often want a smoother surface representation, and hence the need arises to fit a smooth parametric surface through the vertices of the mesh. This requires making a suitable parameterization. Parameterizations are also useful ...

We present a method of generating mipmaps that takes into account the distortions due to the parameterization of a surface. Existing algorithms for generating mipmaps assume that the texture is isometrically mapped to the surface and ignore the actual surface parameterization. Our method correctly downsamples warped textures by assigning texels weights proportional to their area on a surface. W...