ISOTOPIC CONVERGENCE THEOREM

被引：1
|
作者：
Li, J. [1 ]
Peters, T. J. [2 ]
机构：
[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA
[2] Univ Connecticut, Dept Comp Sci & Engn, Storrs, CT 06269 USA
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2013年 / 22卷 / 03期
基金：
美国国家科学基金会;
关键词：
Knot; ambient isotopy; convergence; total curvature; visualization; COMPUTATIONAL TOPOLOGY; OFFSET CURVES; SUBDIVISION;
D O I：
10.1142/S0218216513500120
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
When approximating a space curve, it is natural to consider whether the knot type of the original curve is preserved in the approximant. This preservation is of strong contemporary interest in computer graphics and visualization. We establish a criterion to preserve knot type under approximation that relies upon pointwise convergence and convergence in total curvature.
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页数：18
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