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Note on Level Set Functions

Abstract : In this note a concept of ε-level set function is introduced, i.e. a function which approximates a level set function satisfying the Hamilton-Jacobi inequality. We prove that each Lipschitz continuous solution of the Hamilton-Jacobi inequality is an ε-level set function. Next, a numerical approximation of the level set function is presented, i.e. method for the construction of an ε-level set function.
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https://hal.inria.fr/hal-01347558
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Submitted on : Thursday, July 21, 2016 - 11:23:13 AM
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Piotr Fulmański, Alicja Miniak-Górecka. Note on Level Set Functions. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.368-377, ⟨10.1007/978-3-642-36062-6_37⟩. ⟨hal-01347558⟩

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