Name
Title | ||
|---|---|---|
Families of univariate and bivariate subdivision schemes originated from quartic B-spline. |
Abstract | ||
|---|---|---|
Families of parameter dependent univariate and bivariate subdivision schemes are presented in this paper. These families are new variants of the Lane-Riesenfeld algorithm. So the subdivision algorithms consist of both refining and smoothing steps. In refining step, we use the quartic B-spline based subdivision schemes. In smoothing step, we average the adjacent points. The bivariate schemes are the non-tensor product version of our univariate schemes. Moreover, for odd and even number of smoothing steps, we get the primal and dual schemes respectively. Higher regularity of the schemes can be achieved by increasing the number of smoothing steps. These schemes can be nicely generalized to contain local shape parameters that allow the user to adjust locally the shape of the limit curve/surface. |
Year | DOI | Venue |
|---|---|---|
2017 | https://doi.org/10.1007/s10444-017-9519-y | Adv. Comput. Math. |
Keywords | Field | DocType |
Approximating subdivision scheme,Non-tensor product scheme,Lane-Riesenfeld algorithm,Quartic B-spline,Polynomial generation and reproduction,65D17,65D07,65U07,65D10 | B-spline,Mathematical optimization,Subdivision,Smoothing,Quartic function,Subdivision algorithms,Univariate,Bivariate analysis,Mathematics | Journal |
Volume | Issue | ISSN |
43 | 5 | 1019-7168 |
Citations | PageRank | References |
1 | 0.37 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ghulam Mustafa | 1 | 74 | 16.17 |
| Rabia Hameed | 2 | 2 | 1.06 |