Degree reduction of Bezier curves and filter banks

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We consider the degree elevation and reduction of Bezier curves as the filter bank process. The process consists of the synthesis filters and the analysis filters. Using the relationship of basis changes, we find what these filters are and how these filters are related. Explicit forms of each filter are given and the best degree reduced Bezier curves in the L(2)-norm, L(infinity)-norm, and L(1)-norm are obtained easily from the analysis filters.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
1996
Language
English
Article Type
Article
Citation

COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.31, no.10, pp.23 - 30

ISSN
0898-1221
DOI
10.1016/0898-1221(96)00049-1
URI
http://hdl.handle.net/10203/71228
Appears in Collection
MA-Journal Papers(저널논문)
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