A general matrix representation for non-uniform B-spline subdivision with boundary control

Casciola, Giulio ; Romani, Lucia (2007) A general matrix representation for non-uniform B-spline subdivision with boundary control. [Preprint]
Full text available as:
Download (206kB) | Preview


Boundary conditions are still an open question in the field of approximating subdivision since the problem of determining a general construction of the endpoint rules we need when subdividing a B-spline curve/surface with Bézier end conditions has not been solved yet. This consideration prompted us to present an efficient algorithm for the conversion between B-spline bases defined over different knot-partitions, which turns out to be extremely useful for computing a general formulation of the subdivision matrix generating an endpoint-interpolating B-spline of arbitrary degree.

Document type
Casciola, Giulio
Romani, Lucia
Spline-to-spline conversion; Cox-de Boor recurrence; Knot-insertion; Non-uniform B-spline subdivision; Bézier end conditions
Deposit date
19 Nov 2008
Last modified
16 May 2011 12:09

Other metadata

This work may be freely consulted and used, may be reproduced on a permanent basis in a digital format (i.e. saving) and can be printed on paper with own personal equipment (without availing of third -parties services), for strictly and exclusively personal, research or teaching purposes, with express exclusion of any direct or indirect commercial use, unless otherwise expressly agreed between the user and the author or the right holder. It is also allowed, for the same purposes mentioned above, the retransmission via telecommunication network, the distribution or sending in any form of the work, including the personal redirection (e-mail), provided it is always clearly indicated the complete link to the page of the Alma DL Site in which the work is displayed. All other rights are reserved.



Staff only: View the document