 |
 |
 |
Journal articles
L-system specification of knot-insertion rules for non-uniform B-spline subdivision
Abstract : Subdivision schemes are based on a hierarchy of knot grids in parameter space. A univariate grid hierarchy is regular if all knots are equidistant on each level, and irregular otherwise. We use L-systems to design a wide class of systematically described irregular grid hierarchies. Furthermore, we give sufficient conditions on the L-system which guarantee that the subdivision scheme, based on the non-uniform B-spline of degree d defined on the initial knot grid, is uniformly convergent. If n is the number of symbols in the alphabet of the L-system, this subdivision scheme is defined with a finite set of masks (at most nd+1) which does not depend on the subdivision step. We provide an implementation of such schemes which is available as a worksheet for Sage software.
https://hal.archives-ouvertes.fr/hal-00659465
Contributor : Cédric Gérot <>
Submitted on : Thursday, January 12, 2012 - 6:04:39 PM
Last modification on : Friday, January 8, 2021 - 3:12:02 PM
Contributor : Cédric Gérot <>
Submitted on : Thursday, January 12, 2012 - 6:04:39 PM
Last modification on : Friday, January 8, 2021 - 3:12:02 PM