Note: you were redirected from an old ALICE bibliography reference. For direct access to this reference, use http://alice.loria.fr/php/article.php?Paper=SGP_Splines@2006 instead. 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/. “Automatic and Interactive Mesh to TSpline Conversion” WanChiu Li, Nicolas Ray and Bruno Levy EG/ACM Symposium on Geometry Processing, 2006 Abstract: In Geometry Processing, and more specifically in surface approximation, one of the most important issues is the automatic generation of a quaddominant control mesh from an arbitrary shape (e.g. a scanned mesh). One of the first fully automatic solutions was proposed by Eck and Hoppe in 1996. However, in the industry, designers still use manual tools (see e.g. cyslice). The main difference between a control mesh constructed by an automatic method and the one designed by a human user is that in the second case, the control mesh follows the features of the model. More precisely, it is well known from approximation theory that aligning the edges with the principal directions of curvature improves the smoothness of the reconstructed surface, and this is what designers intuitively do. In this paper, our goal is to automatically construct a control mesh driven by the anisotropy of the shape, mimicking the mesh that a designer would create manually. The control mesh generated by our method can be used by a wide variety of representations (splines, subdivision surfaces...). We demonstrate our method applied to the automatic conversion from a mesh of arbitrary topology into a TSpline surface. Our method first extracts an initial mesh from a PGP (Periodic Global Parameterization). To facilitate userinteraction, we extend the PGP method to take into account optional userdefined information. This makes it possible to locally tune the orientation and the density of the control mesh. The user can also interactively remove edges or sketch additional ones. Then, from this initial control mesh, our algorithm generates a valid TSpline control mesh by enforcing some validity constraints. The valid TSpline control mesh is finally fitted to the original surface, using a classic regularized optimization procedure. To reduce the Linfinity approximation error below a userdefined threshold, we iteratively use the TSpline adaptive local refinement. BibTex reference @INPROCEEDINGS{Li:AIMS:06,
AUTHOR = "WanChiu Li and Nicolas Ray and Bruno Levy",
TITLE = "Automatic and Interactive Mesh to TSpline Conversion",
BOOKTITLE = "EG/ACM Symposium on Geometry Processing",
YEAR = "2006",
}
