Non-uniform interpolatory subdivision via splines

作者：Karciauskas Kestutis; Peters Joerg^*

来源：Journal of Computational and Applied Mathematics, 2013, 240: 31-41.

DOI：10.1016/j.cam.2012.07.004

• Non-uniform
• Interpolatory
• Subdivision
• Spline
• 6-point
• Parameterized Catmull-Rom

We present a framework for deriving non-uniform interpolatory subdivision algorithms closely related to non-uniform spline interpolants. Families of symmetric non-uniform interpolatory 2n-point schemes of smoothness Cn-1 are presented for n = 2, 3, 4 and even higher order, as well as a variety of non-uniform 6-point schemes with C-3 continuity.

• 出版日期2013-3-1