Summary
After demonstrating the necessity and the advantage of decomposing the subdivision matrix in the frequency domain when analysing a subdivision scheme, we present a general framework based on a method, introduced by Ball and Storry, which computes the Discrete Fourier Transform of a subdivision matrix. The efficacy of the technique is illustrated by performing the analysis of Kobbelt's \(\sqrt 3 \) scheme in a very simple manner.
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Barthe, L., Gérot, C., Sabin, M., Kobbelt, L. (2005). Simple Computation of the Eigencomponents of a Subdivision Matrix in the Fourier Domain. 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_13
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DOI: https://doi.org/10.1007/3-540-26808-1_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-21462-5
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