Title
Existence of the Normalized B-basis and a Practical Construction Method of the B-algorithm
Abstract
Necessary and sufficient conditions for the existence ofnormalized B-basis on an extended Chebyshev space arepresented. A method for constructing a normalizedB-basis is given and the symmetry of the normalizedB-basis is proved. Furthermore, a practical constructionmethod for the B-algorithm on an extended Chebyshevspace is discussed. Normalized B-bases and itsB-algorithms on some function spaces are also given.
Year
DOI
Venue
2004
null
GMP
Keywords
Field
DocType
spline,computational geometry,computer aided manufacturing,function spaces,shape,surface topography,chebyshev approximation,surface reconstruction,curve fitting,design automation,stochastic processes,shape parameter,function space
Chebyshev polynomials,Chebyshev nodes,Mathematical optimization,Function space,Mathematical analysis,Approximation theory,Chebyshev equation,Equioscillation theorem,Chebyshev filter,Mathematics,Chebyshev iteration
Conference
Volume
Issue
ISBN
null
null
0-7695-2078-2
Citations 
PageRank 
References 
0
0.34
10
Authors
4
Name
Order
Citations
PageRank
Fan Zhang1427.62
Baosheng Kang200.34
Shaofeng Ru300.34
Mingquan Zhou426665.04