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.
Morse complexes for shape segmentation and homological analysis: discrete models and algorithms.Computer Graphics Forum, 34(2):761–785, 2015
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cs.CG 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
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.