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초록· 키워드
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In this paper, we present the constrained Jacobi polynomial
which is equal to the constrained Chebyshev polynomial up to constant
multiplication. For degree n = 4, 5, we find the constrained Jacobi polynomial,
and for n ≥ 6, we present the normalized constrained Jacobi
polynomial which is similar to the constrained Chebyshev polynomial.
목차
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참고문헌 (20)
참고문헌 신청
B. G. Lee / 1997 / Distance for B´ezier curves and degree reduction / Bull. Australian Math. Soc 56 : 507 ~ 515
B. G. Lee / 2002 / Application of Legendre-Bernstein basis transformations to degree elevation and degree reduction / Comp. Aided Geom. Desi 19 : 709 ~ 718
D. Lutterkort / 1999 / Polynomial degree reduction in the L2-norm equals best Euclidean approximation of B´ezier coefficients / Comp. Aided Geom. Desi 16 : 607 ~ 612
G. Szego / / Orthogonal polynomials / AMS Coll. Publ 23
H. J. Kim / 2000 / Good degree reduction of B´ezier curves using Jacobi polynomials / Comp. Math. Appl 40 : 1205 ~ 1215
B. G. Lee / 2002 / Application of Legendre-Bernstein basis transformations to degree elevation and degree reduction / Comp. Aided Geom. Desi 19 : 709 ~ 718
D. Lutterkort / 1999 / Polynomial degree reduction in the L2-norm equals best Euclidean approximation of B´ezier coefficients / Comp. Aided Geom. Desi 16 : 607 ~ 612
G. Szego / / Orthogonal polynomials / AMS Coll. Publ 23
H. J. Kim / 2000 / Good degree reduction of B´ezier curves using Jacobi polynomials / Comp. Math. Appl 40 : 1205 ~ 1215
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