Advances in Multiresolution for Geometric Modelling

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Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems (2014, background): “(cid:98) (cid:98) Indeed, σ ( T ) is comprised in the convex hull of the control points b i,j,k , because for all ( u, v ) ∈ T , σ ( u, v ) is a convex combination of the b i,j,k .”
Mean value coordinates for closed triangular meshes (2005, methodology): “Mesh parameterization methods [Hormann and Greiner 2000; Desbrun et al. 2002; Khodakovsky et al. 2003; Schreiner et al. 2004; Floater and Hormann 2005] and freeform deformation methods [Sederberg and Parry 1986; Coquillart 1990; MacCracken and Joy 1996; Kobayashi and Ootsubo 2003] also make heavy…”
A Gromov-Hausdorff Framework with Diffusion Geometry for Topologically-Robust Non-rigid Shape Matching (2010, background): “Different discretizations (Bobenko and Springborn 2007; Floater and Hormann 2005; Zhang 2004) of the Laplace- Beltrami lead to different choice of A and W .”
Comparison and Evaluation of Methods for Liver Segmentation From CT Datasets (2009, methodology): “Depending on the phase of the segmentation, each proﬁle consists of 10–60 intensity samples spaced at 0.2–1 mm distance.”