Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid

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Thickness control in structural optimization via a level set method (2016, methodology): “using an explicit second order upwind scheme (Osher and Fedkiw 2003; Sethian 1999).”
Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems (2014, methodology): “Such a method is the level set method (see [19] or [37] for reviews), according to which the evolving domain is deﬁned in the sense of implicit functions, and the domain evolution problem is traded for a PDE problem.”
PET-guided delineation of radiation therapy treatment volumes: a survey of image segmentation techniques (2010, methodology): “The active models move (deform) under the influence of so-called internal force-like equations, which represent the curve or the surface bending characteristics, or so-called external forces, which are computed from the image data, typically as directional gradients [107, 108].”