A Remark on Computing Distance Functions

By Giovanni Russo, Peter Smereka. 2000

440 citations recorded by the source corpus.

Subfields: Computational Mechanics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3402da37a933b5a394de1ddbfde01e1ba0431195

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In Computational Mechanics

In Statistical and Nonlinear Physics

Citations in the corpus

A conservative local interface sharpening scheme for the constrained interpolation profile method (2012, methodology): “A special technique is employed for the evaluation of jrd j in [23].”
Evaluating the performance of the two-phase flow solver interFoam (2012, background): “This not only increases the computational cost, but can also bring about an artificial displacement of the interface resulting in mass loss/gain [58–61].”
A review of level-set methods and some recent applications (2018, methodology): “Figure 2: (a): Interface representing a square after being reinitialized on a 100× 100 grid using the original HJ-WENO scheme of [31] (left) and the second-order accurate scheme of [36] (right).”
Time-optimal path planning in dynamic flows using level set equations: theory and schemes (2014, methodology): “The level set method does not place any strict restrictions on the choice of φ as long as it is Lipschitz continuous (Osher and Sethian 1988; Russo and Smereka 2000).”
Convolutional Neural Networks for Steady Flow Approximation (2016, methodology): “In this paper, we use the Gudonov Method [14, 25] to compute the signed distance functions.”
A geometric mass‐preserving redistancing scheme for the level set function (2011, background): “[32, 33]), they are not well-suited for highly stretched curvilinear grids.”
A level-set approach for simulations of flows with multiple moving contact lines with hysteresis (2005, methodology): “Boundary conditions should not be imposed on the level-set function for flows without contact lines, because during the redistance step, information travels along characteristics away from the interface towards the boundaries [23].”
3D distance fields: a survey of techniques and applications (2006, methodology): “[98] an upwind method which does not accidentally look beyond the 0-level set.”
Generation of a realistic 3D sand assembly using X‐ray micro‐computed tomography and spherical harmonic‐based principal component analysis (2017, background): “[28], for the polar radius between the CT-reconstructed and SH-reconstructed particle surfaces, as defined in Eqs.”
LEVEL SET METHODS FOR FLUID INTERFACES (2003, positive): “Sussman & Fatemi (1999) and Russo & Smereka (2000b) have made improvements in computing solutions to Equation 14.”
Fracture modeling using meshless methods and level sets in 3D: Framework and modeling (2012, methodology): “We refer to the re-initialization in [39, 47] to solve the following equation to the steady state @ @ C sign.”
A survey on level set methods for inverse problems and optimal design (2005, background): “Several schemes for this task have been introduced, differing in particular in the way the sign-function is approximated [117, 128, 131, 132].”
The Flexible, Extensible and Efficient Toolbox of Level Set Methods (2008, methodology): “Several examples from [33] demonstrating the e ectiveness of the subcell”