메뉴 건너뛰기




Volumn 24, Issue 4, 2007, Pages 220-237

A geometric product formulation for spatial Pythagorean hodograph curves with applications to Hermite interpolation

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; INTERPOLATION; PROBLEM SOLVING;

EID: 34247140655     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cagd.2007.01.002     Document Type: Article
Times cited : (8)

References (28)
  • 1
    • 0039829557 scopus 로고    scopus 로고
    • 2 Pythagorean hodograph interpolating splines by the homotopy method
    • 2 Pythagorean hodograph interpolating splines by the homotopy method. Adv. Comp. Math. 5 (1996) 417-442
    • (1996) Adv. Comp. Math. , vol.5 , pp. 417-442
    • Albrecht, G.1    Farouki, R.T.2
  • 2
    • 0036802714 scopus 로고    scopus 로고
    • Euler-Rodrigues frames on spatial Pythagorean hodograph curves
    • Choi H.I., and Han C.Y. Euler-Rodrigues frames on spatial Pythagorean hodograph curves. Comput. Aided Geom. Design 19 (2002) 603-620
    • (2002) Comput. Aided Geom. Design , vol.19 , pp. 603-620
    • Choi, H.I.1    Han, C.Y.2
  • 3
    • 0036255857 scopus 로고    scopus 로고
    • Clifford algebra, spin representation, and rational parameterization of curves and surfaces
    • Choi H.I., Lee D.S., and Moon H.P. Clifford algebra, spin representation, and rational parameterization of curves and surfaces. Adv. Comp. Math. 17 (2002) 5-48
    • (2002) Adv. Comp. Math. , vol.17 , pp. 5-48
    • Choi, H.I.1    Lee, D.S.2    Moon, H.P.3
  • 4
    • 0027640669 scopus 로고
    • An algebraic approach to curves and surfaces on the sphere and on other quadrics
    • Dietz R., Hoschek J., and Jüttler B. An algebraic approach to curves and surfaces on the sphere and on other quadrics. Comput. Aided Geom. Design 10 (1993) 211-229
    • (1993) Comput. Aided Geom. Design , vol.10 , pp. 211-229
    • Dietz, R.1    Hoschek, J.2    Jüttler, B.3
  • 5
    • 0006103436 scopus 로고    scopus 로고
    • Honing geometric algebra for its use in the computer sciences
    • Sommer G. (Ed), Springer-Verlag, Berlin
    • Dorst L. Honing geometric algebra for its use in the computer sciences. In: Sommer G. (Ed). Geometric Computing with Clifford Algebra (2001), Springer-Verlag, Berlin 127-151
    • (2001) Geometric Computing with Clifford Algebra , pp. 127-151
    • Dorst, L.1
  • 6
    • 0002452294 scopus 로고
    • Pythagorean hodograph curves in practical use
    • Barnhill R.E. (Ed), SIAM
    • Farouki R.T. Pythagorean hodograph curves in practical use. In: Barnhill R.E. (Ed). Geometry Processing for Design and Manufacturing (1992), SIAM 3-33
    • (1992) Geometry Processing for Design and Manufacturing , pp. 3-33
    • Farouki, R.T.1
  • 8
    • 0030125163 scopus 로고    scopus 로고
    • The elastic bending energy of Pythagorean hodograph curves
    • Farouki R.T. The elastic bending energy of Pythagorean hodograph curves. Comput. Aided Geom. Design 13 (1996) 227-241
    • (1996) Comput. Aided Geom. Design , vol.13 , pp. 227-241
    • Farouki, R.T.1
  • 9
    • 0038137416 scopus 로고    scopus 로고
    • Exact rotation-minimizing frames for spatial Pythagorean hodograph curves
    • Farouki R.T. Exact rotation-minimizing frames for spatial Pythagorean hodograph curves. Graph. Models 64 (2002) 382-395
    • (2002) Graph. Models , vol.64 , pp. 382-395
    • Farouki, R.T.1
  • 10
    • 0344046254 scopus 로고    scopus 로고
    • Pythagorean hodograph curves
    • Farin G., Hoschek J., and Kim S. (Eds), North-Holland, Amsterdam
    • Farouki R.T. Pythagorean hodograph curves. In: Farin G., Hoschek J., and Kim S. (Eds). Handbook of Comput. Aided Geom. Design (2002), North-Holland, Amsterdam 405-427
    • (2002) Handbook of Comput. Aided Geom. Design , pp. 405-427
    • Farouki, R.T.1
  • 11
    • 0141844561 scopus 로고    scopus 로고
    • Rational approximation schemes for rotation-minimizing frames on Pythagorean hodograph curves
    • Farouki R.T., and Han C.Y. Rational approximation schemes for rotation-minimizing frames on Pythagorean hodograph curves. Comput. Aided Geom. Design 20 (2003) 435-454
    • (2003) Comput. Aided Geom. Design , vol.20 , pp. 435-454
    • Farouki, R.T.1    Han, C.Y.2
  • 12
    • 0001476854 scopus 로고    scopus 로고
    • Hermite interpolation by rotation-invariant spatial Pythagorean hodograph curves
    • Farouki R.T., al Kandari M., and Sakkalis T. Hermite interpolation by rotation-invariant spatial Pythagorean hodograph curves. Adv. Comp. Math. 17 (2002) 369-383
    • (2002) Adv. Comp. Math. , vol.17 , pp. 369-383
    • Farouki, R.T.1    al Kandari, M.2    Sakkalis, T.3
  • 14
    • 21844514153 scopus 로고
    • Hermite interpolation by Pythagorean hodograph quintics
    • Farouki R.T., and Neff C.A. Hermite interpolation by Pythagorean hodograph quintics. Math. Comp. 64 (1995) 1589-1609
    • (1995) Math. Comp. , vol.64 , pp. 1589-1609
    • Farouki, R.T.1    Neff, C.A.2
  • 16
    • 51249170477 scopus 로고
    • Pythagorean hodograph space curves
    • Farouki R.T., and Sakkalis T. Pythagorean hodograph space curves. Adv. Comp. Math. 2 (1994) 41-66
    • (1994) Adv. Comp. Math. , vol.2 , pp. 41-66
    • Farouki, R.T.1    Sakkalis, T.2
  • 17
    • 0030257606 scopus 로고    scopus 로고
    • Real-time CNC interpolators for Pythagorean hodograph curves
    • Farouki R.T., and Shah S. Real-time CNC interpolators for Pythagorean hodograph curves. Comput. Aided Geom. Design 13 (1996) 583-600
    • (1996) Comput. Aided Geom. Design , vol.13 , pp. 583-600
    • Farouki, R.T.1    Shah, S.2
  • 18
    • 34247163019 scopus 로고    scopus 로고
    • 2 PH quintic splines. In: Lyche, T., Mazure, M.-L., Schumaker, L.L. (Eds.), Curve and Surface Design, Saint Malo 2002, pp. 147-156
  • 20
    • 0000776279 scopus 로고    scopus 로고
    • Variable feedrate CNC interpolators for constant material removal rates along Pythagorean hodograph curves
    • Farouki R.T., Manjunathaiah J., Nicholas D., Yuan G.-F., and Jee S. Variable feedrate CNC interpolators for constant material removal rates along Pythagorean hodograph curves. Comput. Aided Design 30 (1998) 631-640
    • (1998) Comput. Aided Design , vol.30 , pp. 631-640
    • Farouki, R.T.1    Manjunathaiah, J.2    Nicholas, D.3    Yuan, G.-F.4    Jee, S.5
  • 22
    • 0035644842 scopus 로고    scopus 로고
    • Hermite interpolation by Pythagorean hodograph curves of degree seven
    • Jüttler B. Hermite interpolation by Pythagorean hodograph curves of degree seven. Math. Comp. 70 (2001) 1089-1111
    • (2001) Math. Comp. , vol.70 , pp. 1089-1111
    • Jüttler, B.1
  • 23
    • 0001335040 scopus 로고    scopus 로고
    • Rational approximation of rotation minimizing frames using Pythagorean hodograph cubics
    • Jüttler B., and Mäurer C. Rational approximation of rotation minimizing frames using Pythagorean hodograph cubics. J. Geom. Graph. 3 (1999) 141-159
    • (1999) J. Geom. Graph. , vol.3 , pp. 141-159
    • Jüttler, B.1    Mäurer, C.2
  • 24
    • 0033188819 scopus 로고    scopus 로고
    • Minkowski Pythagorean hodographs
    • Moon H.P. Minkowski Pythagorean hodographs. Comput. Aided Geom. Design 16 (1999) 739-753
    • (1999) Comput. Aided Geom. Design , vol.16 , pp. 739-753
    • Moon, H.P.1
  • 25
    • 0035278647 scopus 로고    scopus 로고
    • Construction and shape analysis of PH quintic Hermite interpolants
    • Moon H.P., Farouki R.T., and Choi H.I. Construction and shape analysis of PH quintic Hermite interpolants. Comput. Aided Geom. Design 18 (2001) 93-115
    • (2001) Comput. Aided Geom. Design , vol.18 , pp. 93-115
    • Moon, H.P.1    Farouki, R.T.2    Choi, H.I.3
  • 26
    • 34247109878 scopus 로고    scopus 로고
    • Perwass, C., Hildenbrand, D., 2003. Aspects of geometric algebra in euclidean, projective and conformal space. Technical Report Number 0310, Christian-Albrechts-Universität zu Kiel, Institut für Informatik und Praktische Mathematik
  • 28
    • 0035303660 scopus 로고    scopus 로고
    • Performance analysis of CNC interpolators for time-dependent feedrates along PH curves
    • Tsai Y.-F., Farouki R.T., and Feldman B. Performance analysis of CNC interpolators for time-dependent feedrates along PH curves. Comput. Aided Geom. Design 18 (2001) 245-265
    • (2001) Comput. Aided Geom. Design , vol.18 , pp. 245-265
    • Tsai, Y.-F.1    Farouki, R.T.2    Feldman, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.