Variational tetrahedral meshing

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Advances in Studies and Applications of Centroidal Voronoi Tessellations (2010, background): “Extensions to three dimensions and optimizations in combination with vertex/face swappings were studied in [1, 44, 45, 48] to improve mesh quality; see Fig.”
Constraining dense hand surface tracking with elasticity (2020, background): “…frictional simulation model [Macklin et al. 2019], improved skin modeling with thin shells [Rémillard and Kry 2013], or finer grained control of the output resolution of the tetrahedral mesh [Molino et al. 2003; Alliez et al. 2005] could enhance our ability to capture high frequency details.”
Adaptively sampled particle fluids (2007, methodology): “It is easy to show that this function is 1-Lipschitz continuous [Alliez et al. 2005], which guarantees a smooth variation of particle sizes necessary to maintain a stable physical simulation.”
TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator (2015, methodology): “A group of methods, so-called variational Voronoi-Delaunay methods [Alliez et al. 2005; Du and Wang 2003] aims at generating and improving good quality tetrahedral mesh simultaneously The idea is to use a convex mesh-dependent energy so that a global (or local) minimum exists.”