Summary
Most established subdivision schemes have the refined grid at each stage aligned with the previous one. The \(\sqrt 3 \) and \(\sqrt 2 \) schemes alternate orientations. This paper is one of the first detailed studies of a skew scheme in which the axis directions after refinement do not either lie along or bisect those before. It raises the issue of how the analysis techniques can be applied in this new context and provides an example of how they may be thus applied.
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Ivrissimtzis, I.P., Dodgson, N.A., Sabin, M. (2005). \(\sqrt 5 \)-subdivision. In: Dodgson, N.A., Floater, M.S., Sabin, M.A. (eds) Advances in Multiresolution for Geometric Modelling. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26808-1_16
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DOI: https://doi.org/10.1007/3-540-26808-1_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21462-5
Online ISBN: 978-3-540-26808-6
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