J. Li, Thomas J. Peters, et al.
Topology and its Applications
Paper
Computational topology for approximations of knots
Abstract
The preservation of ambient isotopic equivalence under piecewise lin- ear (PL) approximation for smooth knots are prominent in molecular modeling and simulation. Sufficient conditions are given regarding: (1) Hausdorff distance, and (2) a sum of total curvature and derivative.
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