Brunel University Research Archive (BURA) >
Schools >
School of Information Systems, Computing and Mathematics >
Mathematics Technical Papers >

Please use this identifier to cite or link to this item:

Title: Uniform subdivision algorithms for curves and surfaces
Authors: Dyn, N
Gregory, JA
Levin, D
Keywords: Subdivision algorithms, Control polygon, Interpolation, Shape control
Publication Date: 1988
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University). October 1988 , pp 1-20
Abstract: A convergence analysis for studying the continuity and differentiability of limit curves generated by uniform subdivision algorithms is presented. The analysis is based on the study of corresponding difference and divided difference algorithms. The alternative process of "integrating" the algorithms is considered. A specific example of a 4-point interpolatory curve algorithm is described and its generalization to a surface algorithm defined over a subdivision of a regular triangular partition is illustrated.
Appears in Collections:Mathematics Technical Papers

Files in This Item:

File Description SizeFormat
TR_09_88.pdf574.06 kBAdobe PDFView/Open

Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.


Library (c) Brunel University.    Powered By: DSpace
Send us your
Feedback. Last Updated: September 14, 2010.
Managed by:
Hassan Bhuiyan