Periodic global parameterization
By Nicolas Ray, Wan-Chiu Li, Bruno Lévy, Alla Sheffer, Pierre Alliez. TOGS, 2006
412 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design
View Paper: https://www.semanticscholar.org/paper/f652f8e7f4937a201f6e69004de5eda0623f6d80
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Bruno Lévy
- Kai Hormann
- Alla Sheffer
- Leif Kobbelt
- David Bommes
- Henrik Zimmer
- Evangelos Kalogerakis
- Ulrich Pinkall
In Computer Graphics and Computer-Aided Design
- Bruno Lévy
- Kai Hormann
- Leif Kobbelt
- Alla Sheffer
- David Bommes
- Henrik Zimmer
- Ulrich Pinkall
- Boris A. Springborn
Citations in the corpus
- Extracting lines of curvature from noisy point clouds (2009, methodology): “We note that our algorithm mainly focuses on producing a faithful mesh reconstruction with all the fine features of the underlying surface well represented, rather than building a smooth global parametrization (such as in (40)), based also on the fact that curvature-aligned meshes optimally approxim”
- Mixed-integer quadrangulation (2009, methodology): “al proposed a fully automatic non-linear parametrization technique which is guided by a low-level vector field and assumes a single chart for each triangle [Ray et al. 2006].”
- Spectral surface quadrangulation (2006, methodology): “Like our own, the PQD method produces a pure quadrilateral mesh, whereas the PGP method produces a quad-dominant mesh.”
- Conformal equivalence of triangle meshes (2008, background): “Examples of theory and applications include [ Pinkall and Polthier 1993; Mercat 2001; Desbrun et al. 2002; Levy et al. 2002; Gu and Yau 2003; Tong et al. 2007].”
- Mesh parameterization: theory and practice (2007, methodology): “The transition functions between adjacent charts of a global parameterization satisfy two conditions, see also [Ray et al., 2006]: First, the gradients of the parameterization functions have to agree up to a cyclic permutation of the vectors (∇ufi,∇vfi,−∇ufi,−∇vfi), because u- and v-lines should not”