id: 06535441
dt: a
an: 2016b.00721
au: Zhang, Fan; Qin, Xueying
ti: Determining knots by minimizing the second derivative.
so: Pan, Zhigeng (ed.) et al., Transactions on Edutainment XI. Berlin: Springer
(ISBN 978-3-662-48246-9/pbk; 978-3-662-48247-6/ebook). Lecture Notes in
Computer Science 8971. Journal Subline, 127-137 (2015).
py: 2015
pu: Berlin: Springer
la: EN
cc: I65 G95
ut: polynomial curve; determining knots; second derivative; minimizing
ci:
li: doi:10.1007/978-3-662-48247-6_12
ab: 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.
rv: