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Volumn 31, Issue 1, 1999, Pages 73-83

Cubic Pythagorean hodograph spline curves and applications to sweep surface modeling

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL GEOMETRY; GRAPH THEORY; INTERPOLATION; POLYNOMIALS; SURFACES; VECTORS;

EID: 0037913538     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(98)00081-5     Document Type: Article
Times cited : (73)

References (19)
  • 1
    • 0039829557 scopus 로고    scopus 로고
    • Construction of C2 Pythagorean-hodograph interpolating splines by the homotopy method
    • Albrecht G, Farouki RT. Construction of C2 Pythagorean-hodograph interpolating splines by the homotopy method. Adv. Comput. Math. 1996;5:417-442.
    • (1996) Adv. Comput. Math. , vol.5 , pp. 417-442
    • Albrecht, G.1    Farouki, R.T.2
  • 2
    • 0027640669 scopus 로고
    • An algebraic approach to curves and surfaces on the sphere and on other quadrics
    • Dietz R, Hoschek J, Jüttler B. An algebraic approach to curves and surfaces on the sphere and on other quadrics. Comput. Aided Geom. Design 1993;10:211-229.
    • (1993) Comput. Aided Geom. Design , vol.10 , pp. 211-229
    • Dietz, R.1    Hoschek, J.2    Jüttler, B.3
  • 3
    • 21844514153 scopus 로고
    • Hermite interpolation by Pythagorean hodograph quintics
    • Farouki RT, Neff CA. Hermite interpolation by Pythagorean hodograph quintics. Math. Comput. 1995;64:1589-1609.
    • (1995) Math. Comput. , vol.64 , pp. 1589-1609
    • Farouki, R.T.1    Neff, C.A.2
  • 6
    • 0030257606 scopus 로고    scopus 로고
    • Real-time CNC interpolators for Pythagoreanhodograph curves
    • Farouki RT, Shah S. Real-time CNC interpolators for Pythagoreanhodograph curves. Comput. Aided Geom. Design 1996;13:583-600.
    • (1996) Comput. Aided Geom. Design , vol.13 , pp. 583-600
    • Farouki, R.T.1    Shah, S.2
  • 7
    • 0043047002 scopus 로고    scopus 로고
    • Adaptive subdivision and the length of Bézier curves
    • Gravesen J. Adaptive subdivision and the length of Bézier curves. Comput. Geom. 1997;8:13-31.
    • (1997) Comput. Geom. , vol.8 , pp. 13-31
    • Gravesen, J.1
  • 10
    • 0002140105 scopus 로고    scopus 로고
    • Generating rational frames of space curves via Hermite interpolation with Pythagorean hodograph cubic splines
    • Choi DP, Choi HI, Kim MS, Martin RR, editors. Seoul. South Korea: Bookplus Press
    • Jüttler B. Generating rational frames of space curves via Hermite interpolation with Pythagorean hodograph cubic splines, In: Choi DP, Choi HI, Kim MS, Martin RR, editors. Differential/topological techniques in geometric modeling and processing'98, Seoul. South Korea: Bookplus Press, 1998, pp. 83-106.
    • (1998) Differential/topological Techniques in Geometric Modeling and Processing'98 , pp. 83-106
    • Jüttler, B.1
  • 12
    • 0022811359 scopus 로고
    • Two moving coordinate frames for sweeping along a 3D trajectory
    • Klok F. Two moving coordinate frames for sweeping along a 3D trajectory. Comput. Aided Geom. Design 1986;3:217-229.
    • (1986) Comput. Aided Geom. Design , vol.3 , pp. 217-229
    • Klok, F.1
  • 14
    • 0031559375 scopus 로고    scopus 로고
    • Geometric Hermite interpolation with Tschirnhausen cubics
    • Meek DS, Walton DJ. Geometric Hermite interpolation with Tschirnhausen cubics. J. Comp. Appl. Math. 1997;81:299-309.
    • (1997) J. Comp. Appl. Math. , vol.81 , pp. 299-309
    • Meek, D.S.1    Walton, D.J.2
  • 15
    • 0029271014 scopus 로고
    • Rational curves and surfaces with rational offsets
    • Pottmann H. Rational curves and surfaces with rational offsets. Comput. Aided Geom. Design 1995;12:175-192.
    • (1995) Comput. Aided Geom. Design , vol.12 , pp. 175-192
    • Pottmann, H.1
  • 17
    • 0031360079 scopus 로고    scopus 로고
    • Curves with rational Frenet-Serret motion
    • Wagner M, Ravani B. Curves with rational Frenet-Serret motion. Comput. Aided Geom. Design 1997;15:79-101.
    • (1997) Comput. Aided Geom. Design , vol.15 , pp. 79-101
    • Wagner, M.1    Ravani, B.2
  • 18
    • 0001288152 scopus 로고    scopus 로고
    • Robust computation of the rotation minimizing frame for sweep surface modeling
    • Wang W, Joe B. Robust computation of the rotation minimizing frame for sweep surface modeling. Comput.-Aided Design 1997;29:379-391.
    • (1997) Comput.-Aided Design , vol.29 , pp. 379-391
    • Wang, W.1    Joe, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.