Displaying publications with alonso as a coauthor. The other publications are available here Publications by year Most documents on this website are protected by copyright.
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has the right to do so. Note that the definitive versions of all EG papers (Eurographics,...) can be downloaded from http://www.eg.org/EG/DL. ACM papers (Siggraph, ...) can be downloaded from http://www.acm.org/dl/. “Geometry Aware Direction Field Processing” Nicolas Ray, Bruno Vallet, Laurent Alonso and Bruno Lévy ACM Transactions on Graphics, 2009 Abstract: Many algorithms in texture synthesis, nonphotorealistic rendering (hatching), or remeshing require to define the orientation of some features (texture, hatches or edges) at each point of a surface. In early works, tangent vector (or tensor) fields were used to define the orientation of these features. Extrapolating and smoothing such fields is usually performed by minimizing an energy composed of a smoothness term and of a data fitting term. More recently, dedicated structures (NRoSy and Nsymmetry direction fields ) were introduced in order to unify the manipulation of these fields, and provide control over the field's topology (singularities). On the one hand, controlling the topology makes it possible to have few singularities, even in the presence of high frequencies (fine details) in the surface geometry. On the other hand, the user has to explicitly specify all singularities, which can be a tedious task. It would be better to let them emerge naturally from the direction extrapolation and smoothing. This paper introduces an intermediate representation that still allows the intuitive design op erations such as smoothing and directional constraints, but restates the objective function in a way that avoids the singularities yielded by the smaller geometric details. The resulting design tool is intuitive, simple, and allows to create fields with simple topology, even in the presence of high geometric frequencies. The sogenerated field can be used to steer global parameterization methods (e.g. QuadCover). BibTex reference @ARTICLE{ray:DFD:09,
AUTHOR = "Nicolas Ray and Bruno Vallet and Laurent Alonso and Bruno Lévy
",
TITLE = "Geometry Aware Direction Field Processing",
JOURNAL = "ACM Transactions on Graphics",
YEAR = "2009",
}
Supplemental material, links, hindsight ...
Further reading

NSymmetry Direction Field Design provides provably correct
full control of the topology of the designed vector field (index of
singularities and index of generators).
