Subdivision of Bezier curves for ambient isotopy in molecular modeling

摘要

Knots are prevalent mathematical models in molecular algorithms, requiring isotopically equivalent piecewise linear (PL) approximations for visualization and analyses. Local topological properties of Bezier curves are shown to support efficient isotopic approximations, inclusive of illustrative computational experiments. For this memorial issue, author T.J. Peters notes that 'computational topology' was not discussed during his mentorship by W.W. Comfort, but existence of this contemporary subfield is testimony to the breadth of Comfort's mathematical legacy. (C) 2019 Elsevier B.V. All rights reserved.