Oriented Distance Function and Its Evolution Equation for Initial Sets with Thin Boundary
From MaRDI portal
Publication:4652522
DOI10.1137/S0363012902411945zbMath1058.49034MaRDI QIDQ4652522
Publication date: 28 February 2005
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
imageshapedesignsubmanifoldlevel set methodnonlinear evolution equationvisionsigned distance functionoriented distance functionextension velocitysmooth setsnarrow-band method
Related Items (18)
Hadamard semidifferential, oriented distance function, and some applications ⋮ A level set method for topology optimization of continuum structures with bounded design domains ⋮ Metric Spaces of Shapes and Geometries Constructed from Set Parametrized Functions ⋮ Regularity of solution maps of differential inclusions under state constraints ⋮ Hyperbolic equations with mixed boundary conditions: shape differentiability analysis ⋮ Convergence of a Brinkman-type penalization for compressible fluid flows ⋮ Boundary regularity for Maxwell's equations with applications to shape optimization ⋮ Characterizations of multiobjective robustness via oriented distance function and image space analysis ⋮ Geometric aspects of shape optimization ⋮ Convexity of reachable sets of nonlinear ordinary differential equations ⋮ On \(L^2\)-estimates for \(\bar\partial\) on a pseudoconvex domain in a complete Kähler manifold with positive holomorphic bisectional curvature ⋮ Shape optimization for non-Newtonian fluids in time-dependent domains ⋮ Variational analysis on the signed distance functions ⋮ An inverse cavity problem for Maxwell's equations ⋮ Complete Shape Metric and Geodesic ⋮ Metric normal and distance function in the Heisenberg group ⋮ Hölder continuity of adjoint states and optimal controls for state constrained problems ⋮ Unnamed Item
This page was built for publication: Oriented Distance Function and Its Evolution Equation for Initial Sets with Thin Boundary
