In many applications the need for an accurate simplification of surface meshes is becoming more and more urgent. This need is not only due to rendering speed reasons, but also to allow fast transmission of 3D models in network-based applications. Many different approaches and algorithms for mesh simplification have been proposed in the last few years. We present a survey and a characterization ...

Most of the recent work on inhomogeneous diiusion in image ltering focuses on diiusing the isotope curve. We present a less familiar approach to the development of inhomogeneous diiusion algorithms in which the image is regarded as a surface in three-space. The magnitude of the surface normal controls a diiusion that evolves the image surface at a speed proportional to its mean curvature. A dis...

This paper studies the liquid to vapor phase transition in a cone shaped nozzle. Using the geometric method presented in [32, 34], we further develop results on subsonic and supersonic evaporation waves in [14] to transonic waves. It is known that transonic waves do not exist if restricted solely to the slow system on the slow manifolds [14]. Thus we consider the existence of transonic waves th...

The inspection of specular surfaces differs significantly from the case of non-specular surfaces. In contrast to the non-specular case, the appearance of a specular surface is dominated by the reflections of the environment that are visible in it. The transfer of this observation into automated visual inspection is called deflectometry. The main principle of deflectometric surface acquisition i...

This paper presents automatic face authentication based on facial surface analysis. The success of a previous profile-based approach, exclusively relying on geometrical features of the external contour, led us to consider the full facial surface. This motivation was further supported by the independence of viewpoint and lighting conditions of 3D information. The geometry also carries informatio...

We present a consistent model for artistic media reproduction in 3D scene renderings and animations. Artistic media reproduction can be defined as a media model (such as brush, pencil, ink) and a support (such as canvas and papers). We create a surface grain according to the object geometry and apply it as additional material properties. Furthermore, we propose to use the abstraction of obtaine...

We present an algorithm that, starting from the surface skeleton of a 3D solid object, computes the curve skeleton. The algorithm is based on the detection of curves and junctions in the surface skeleton. It can be applied to any surface skeleton, including the case in which the surface skeleton is two-voxel thick.

An empirical fetch-limited ocean wave spectrum has been combined with an acoustic ray-based model to predict the acoustic signal time-angle fluctuations induced by sea surface roughness. Rough sea surface realizations are generated and used as sea surface boundaries with the acoustic model. To validate this model, results are compared against experimental data collected in a fetch limited regio...

A few years ago, some of us devised a method to obtain inte-grable systems in (2+1)-dimensions from the classical non-Abelian pure Chern-Simons action via reduction of the gauge connection in Hermitian symmetric spaces. In this paper we show that the methods developed in studying classical non-Abelian pure Chern-Simons actions, can be naturally implemented by means of a geometrical interpretati...

When considering spaces of sex-work such as Patpong in Bangkok, Thailand, the inclination is to be drawn into habitual debates concerning the legitimacy of sex-work and the clear objectification of sex-workers. While these concerns are valid and real, there are significant absences in terms of the theoretical mapping of the space, such as the affect of the presence of law, bodies, space and the...