Parameterization of triangulated surfaces: Latest results

@inproceedings{LévyRM1998,
 abstract = { Different well known techniques exist for parameterizing triangulated surfaces, each of them having its pros and cons. This requires the user of such techniques to make a choice between them, in order to construct a parameterization well adapted to both the specific surface to be parameterized and the client methods to be plugged on top of the parameterization. The scheme introduced in this paper encapsulates the principal existing techniques within a single unified scheme, enabling to make an optimum use of them. In addition to the criteria optimized by the existing methods, our scheme easily enables to define new criteria especially tailored for specific applications. For instance, in order to facilitate the computation of geodesic distances, it is possible to make the first fundamental tensor of the parameterization equal to the unit matrix all over the parameter space. Moreover, local information specified by the user might be taken into account, such as isoparameter curves for instance. The user is also provided with a set of "tuning buttons", making it possible to locally customize the parameterization in different zones of the surface. For instance, angle distortions might be minimized in a certain zone, whereas distances might be preferred in another zone. },
 author = { Levy, Bruno AND Mallet, Jean-Laurent },
 booktitle = { 18th gOcad Meeting },
 month = { "september" },
 publisher = { ASGA },
 title = { Parameterization of triangulated surfaces: Latest results },
 year = { 1998 }
}