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Point set methods.
This family of methods is called level set methods (LSM).
Hartmann, M. Meinke, W. Schröder, Differential equation based constrained reinitialization for level set methods, J. Comput.
The grid-based definition is essential for practical application in level set methods.
Numerical results for various instances are presented and compared with those obtained by level set methods.
Smereka, The numerical approximation of a delta function with application to level set methods, J. Comput.
Level set methods are numerically efficient and robust procedures for the tracking of interfaces.
We optimize eigenvalues in optimal shape design using binary level set methods.
Further we implement level set methods to update the shape of the obstacle.
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Among them, active-set methods, interior-point methods, and gradient-projection methods have been widely used since the 1970s.
We review some of the recent advances in level-set methods and their applications.
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