DEGREE REDUCTION OF BEZIER CURVES AND FILTER BANKS

Authors
KIM HO KIM JH MOON SY
Citation
Ho. Kim et al., DEGREE REDUCTION OF BEZIER CURVES AND FILTER BANKS, Computers & mathematics with applications, 31(10), 1996, pp. 23-30
Citations number
9
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
31
Issue
10
Year of publication
1996
Pages
23 - 30
Database
ISI
SICI code
0898-1221(1996)31:10<23:DROBCA>2.0.ZU;2-M
Abstract
We consider the degree elevation and reduction of Bezier curves as the filter bank process. The process consists of the synthesis filters an d the analysis filters. Using the relationship of basis changes, we fi nd what these filters are and how these filters are related. Explicit forms of each filter are given and the best degree reduced Bezier curv es in the L(2)-norm, L(infinity)-norm, and L(1)-norm are obtained easi ly from the analysis filters.