
06535441
a
2016b.00721
Zhang, Fan
Qin, Xueying
Determining knots by minimizing the second derivative.
Pan, Zhigeng (ed.) et al., Transactions on Edutainment XI. Berlin: Springer (ISBN 9783662482469/pbk; 9783662482476/ebook). Lecture Notes in Computer Science 8971. Journal Subline, 127137 (2015).
2015
Berlin: Springer
EN
I65
G95
polynomial curve
determining knots
second derivative
minimizing
doi:10.1007/9783662482476_12
Summary: In constructing a parametric curve interpolating a set of data points, one of the key problems is to specify a parameter value (node) for each data point. A new method of choosing knots is presented. For each data points, the new method constructs a quadratic polynomial curve by three adjacent data points. The node parameters of the quadratic curve are determined by minimizing the second derivative of the quadratic curve. And the knot interval between two adjacent data points is determined by two quadratic curves associated with the two adjacent data points. Experiments showed that the curves constructed using the knots by the new method generally have better interpolation precision.