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Everything about Level-set method
Conceptual framework used in numerical analysis of surfaces and shapes
The Level-set method (LSM) is a conceptual framework for using level sets as a tool for numerical analysis of surfaces and shapes. LSM can perform numerical computations involving curves and surfaces on a fixed Cartesian grid without having to parameterize these objects. LSM makes it easier to perform computations on shapes with sharp corners and shapes that change topology. These characteristics make LSM effective for modeling objects that vary in time, such as an airbag inflating or a drop of oil floating in water. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Level-set methodA 5-minute orientation
- Skim a recent paper: A GPU-Enabled Level-Set Method for Mask OptimizationInfluential work since 2022
- Pick up a classic book: Level set methods and dynamic implicit surfacesThe most-reprinted book on the subject
- Read the landmark paper: A level set method for structural topology optimizationCited 2,977 times
- Go sideways: Kansa methodA closely related topic
- Go sideways: Finite volume method for two dimensional diffusion problemA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A level set method for structural topology optimization
A PDE-Based Fast Local Level Set Method
A level-set method for shape optimization
A Lagrangian particle level set method
A level set method for inverse problems
Modeling Superconformal Electrodeposition Using The Level Set Method
A level set method for dislocation dynamics
Evolutionary level set method for structural topology optimization
🆕 Influential since 2022
A GPU-Enabled Level-Set Method for Mask Optimization
Applications of level set method in computational fluid dynamics: a review
Multi-material topology optimization of coated structures using level set method
Simulation of Continuous Dynamic Recrystallization Using a Level-Set Method
A particle finite element method based on Level–Set functions
📚 Books worth reading
Level set methods and dynamic implicit surfacesStanley Osher, Stanley J. Osher · 2002
Level set methodsJames Albert Sethian · 1996
Learner-Centered TeachingMaryellen Weimer · 2013- 📕Flat level set regularity of p-Laplace phase transitionsEnrico Valdinoci · 2006
Level sets and extrema of random processes and fieldsJean-Marc Azaïs · 2009
Flat level set regularity of p-Laplace phase transitionsEnrico Valdinoci, Berardino Sciunzi · 2006
Level set methods and fast marching methodsJames Albert Sethian · 1999
Rearrangements and convexity of level sets in PDEBernhard Kawohl · 1985
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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