메뉴 건너뛰기




Volumn 20, Issue 7, 2003, Pages 423-434

Using Jacobi polynomials for degree reduction of Bézier curves with Ck-constraints

Author keywords

Ck continuity; Chebyshev polynomial; Degree reduction; Jacobi polynomial; L norm

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONSTRAINT THEORY; POLYNOMIALS;

EID: 0141844585     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(03)00082-7     Document Type: Article
Times cited : (24)

References (15)
  • 1
    • 0141526196 scopus 로고    scopus 로고
    • Geometric conic spline approximation in CAGD
    • Ahn Y.J. Geometric conic spline approximation in CAGD. Comm. Korean Math. Soc. 17:(2):2002;331-347.
    • (2002) Comm. Korean Math. Soc. , vol.17 , Issue.2 , pp. 331-347
    • Ahn, Y.J.1
  • 2
    • 0029195934 scopus 로고
    • Degree reduction of Bézier curves by uniform approximation with endpoint interpolation
    • Bogaki P., Weinstein S.E., Xu Y. Degree reduction of Bézier curves by uniform approximation with endpoint interpolation. Computer Aided Design. 27:1995;651-662.
    • (1995) Computer Aided Design , vol.27 , pp. 651-662
    • Bogaki, P.1    Weinstein, S.E.2    Xu, Y.3
  • 7
    • 0027640625 scopus 로고
    • Degree reduction of Bézier curves
    • Eck M. Degree reduction of Bézier curves. Computer Aided Geometric Design. 10:1993;237-251.
    • (1993) Computer Aided Geometric Design , vol.10 , pp. 237-251
    • Eck, M.1
  • 8
    • 0029195711 scopus 로고
    • Least squares degree reduction of Bézier curves
    • Eck M. Least squares degree reduction of Bézier curves. Computer-Aided Design. 27:1995;845-851.
    • (1995) Computer-aided Design , vol.27 , pp. 845-851
    • Eck, M.1
  • 10
    • 0034325021 scopus 로고    scopus 로고
    • Good degree reduction of Bézier curves using constrained Jacobi polynomials
    • Kim H.J., Ahn Y.J. Good degree reduction of Bézier curves using constrained Jacobi polynomials. Comput. Math. Appl. 40:(10-11):2000;1205-1215.
    • (2000) Comput. Math. Appl. , vol.40 , Issue.10-11 , pp. 1205-1215
    • Kim, H.J.1    Ahn, Y.J.2
  • 11
    • 0024085249 scopus 로고
    • Chebyshev economization for parametric surfaces
    • Lachance M.A. Chebyshev economization for parametric surfaces. Computer Aided Geometric Design. 5:1988;195-208.
    • (1988) Computer Aided Geometric Design , vol.5 , pp. 195-208
    • Lachance, M.A.1
  • 12
    • 0000877545 scopus 로고
    • Approximation by constrained parametric polynomials
    • Lachance M.A. Approximation by constrained parametric polynomials. Rocky Mountain J. Math. 21:1991;473-488.
    • (1991) Rocky Mountain J. Math. , vol.21 , pp. 473-488
    • Lachance, M.A.1
  • 13
    • 0003217929 scopus 로고
    • Orthogonal Polynomials
    • Providence, RI: AMS
    • Szego G. Orthogonal Polynomials. Coll. Publ. 23:1975;AMS, Providence, RI.
    • (1975) Coll. Publ. , vol.23
    • Szego, G.1
  • 14
    • 0024085049 scopus 로고
    • Degree reduction for Bézier curves
    • Watkins M., Worsey A. Degree reduction for Bézier curves. Computer-Aided Design. 20:1988;398-405.
    • (1988) Computer-aided Design , vol.20 , pp. 398-405
    • Watkins, M.1    Worsey, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.