On the interpolating 5-point ternary subdivision scheme: A revised proof of convexity-preservation and an application-oriented extension

A 4-point interpolatory subdivision scheme for curve design

Nira Dyn, David Levin, John Gregory · Computer Aided Geometric Design · 1987 · 624 citations

Architecture, Computer Science, Computational Geometry +13

An interpolating 4-point C2 ternary stationary subdivision scheme

Mohamed F. Hassan, I.P. Ivrissimitzis, Neil A. Dodgson et al. · Computer Aided Geometric Design · 2002 · 178 citations

Architecture, Digital Design, Computational Geometry +7

Analysis of Asymptotically Equivalent Binary Subdivision Schemes

Nira Dyn, David Levin · Journal of Mathematical Analysis and Applications · 1995 · 146 citations

Computing, Computer Science, Algorithms +6

Polynomial reproduction for univariate subdivision schemes of any arity

Costanza Conti, Kai Hormann · Journal of Approximation Theory · 2010 · 103 citations

Computing, Computer Science, Computational Geometry +3

Convexity Preserving Interpolatory Subdivision Schemes

F. Kuijt, Raoul Van Damme · Constructive Approximation · 1998 · 62 citations

Computing, Computer Science, Computational Geometry +9