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.
A topological hierarchy for functions on triangulated sur- faces.IEEE Transactions on Visualization and Computer Graphics, 10(4):385–396, 2004
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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.