A note on the paper “Normal based subdivision scheme for curve design” by Xunnian Yang

In a recent paper (Computer Aided Geometric Design 23 (3), 243–260), Yang presented a novel kind of nonlinear and geometry driven subdivision scheme for curve interpolation. The author declared that this scheme was shape preserving when all free parameters were explicitly selected by some specific r...

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Bibliographic Details
Published in:Computer aided geometric design 2008-11, Vol.25 (8), p.700-704
Main Authors: Liang, Luming, Zhao, Huanxi, Zou, Beiji
Format: Article
Language:English
Subjects:
Applied sciences
Computer aided design
Computer science
control theory
systems
Exact sciences and technology
Interpolation
Mechanical engineering. Machine design
Nonlinear subdivision
Shape preserving
Software
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Summary:In a recent paper (Computer Aided Geometric Design 23 (3), 243–260), Yang presented a novel kind of nonlinear and geometry driven subdivision scheme for curve interpolation. The author declared that this scheme was shape preserving when all free parameters were explicitly selected by some specific rules. In this note, we demonstrate that the author (a) ignored the consistency of the definition to straight edges, and also (b) did not give a perfect scheme and proof for the shape preserving subdivision.
ISSN:0167-8396
1879-2332
DOI:10.1016/j.cagd.2008.03.002