Subdivision of Bézier curves for ambient isotopy in molecular modeling
Topology and its Applications(2019)
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 Bézier 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.
更多查看译文
关键词
Knot theory,Bezier curve,Ambient isotopy,Subdivision,Molecular modeling
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络