Anisotropic polygonal remeshing

By Pierre Alliez, David Cohen-Steiner, Olivier Devillers, Bruno Lévy, Mathieu Desbrun. ACM Transactions on Graphics, 2003

653 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design

View Paper: https://www.semanticscholar.org/paper/0711b1bc5bbebbe8fe4d30f3257740affc9abb39

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

Citations in the corpus

Hierarchical mesh segmentation based on fitting primitives (2006, background): “The perturbed patch has also been mapped b but, in this case, the normal of the best ﬁtting plane is nearly orthogonal to the cylinder’s axis sult is the curvature tensor at v as deﬁned in [1], as long as the cluster is homeomorphic to a disk.”
Extracting lines of curvature from noisy point clouds (2009, background): “(1) Retrieve all points neighboring ci that have non-zero statistical weights for the curvature estimation of ci (as stored upon completion of the IRLS process).”
Mesh parameterization: theory and practice (2007, methodology): “al ’s anisotropic remeshing method [Alliez et al., 2003], the method first computes a guidance vector field by smoothing the principal directions of curvature.”
Restricted delaunay triangulations and normal cycle (2003, methodology): “Restricted Delaunay Triangulations and Normal Cycle* David Cohen-Steiner Jean-Marie Morvan ABSTRACT We address the problem of curvature estimation from sampled smooth surfaces.”
Instant field-aligned meshes (2015, background): “We observe that our method achieves a much higher regularity (148 singularities vs. 436) compared to [Alliez et al. 2003] (Figure 17).”
Spectral surface quadrangulation (2006, background): “Alliez et al. [2003] numerically compute integral lines of the two principal direction fields of the surface in a conformal parametric domain.”
Recent Advances in Remeshing of Surfaces (2008, methodology): “bubble packing [90], square cell packing [75], placement of streamlines [6]).”
Interactive procedural street modeling (2008, methodology): “the number of degenerate points) in the tensor field by performing component-wise Laplacian smoothing [Alliez et al. 2003; Marinov and Kobbelt 2004; Zhang et al. 2007].”
Mixed-integer quadrangulation (2009, background): “Examples of explicit approaches are [Alliez et al. 2003; Marinov and Kobbelt 2004] which trace curves along the principal curvature directions or [Lai et al.”
Periodic global parameterization (2006, methodology): “Since this procedure is stand-alone it can be used as-is for other applications that utilize curvature vector fields on meshes, such as curvature aligned quaddominant remeshing ([Alliez et al. 2003] and [Marinov and Kobbelt 2004]).”
Recent advances in compression of 3D meshes (2005, background): “A more recent trend takes the remeshing paradigm further, with the design of efficient meshes for approximation of surfaces [1].”
Partial and approximate symmetry detection for 3D geometry (2006, methodology): “We apply the algorithm proposed in [Alliez et al. 2003] to approximate the curvature tensor at pi within a sphere of radius r and compute integrated principal curvatures κi,1 ≤ κi,2 and principal directions ci,1 and ci,2.”