A refinement algorithm enforces monotonic mesh edges so that piecewise-linear approximations of implicit 2D scalar fields preserve the critical points of the underlying Morse function.
Guaranteed-quality triangular meshes
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Topology-Preserving Meshing of Implicit Scalar Fields via Monotonicity Constraints
A refinement algorithm enforces monotonic mesh edges so that piecewise-linear approximations of implicit 2D scalar fields preserve the critical points of the underlying Morse function.