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Volumn 4077 LNCS, Issue , 2006, Pages 45-58

Least-squares approximation by pythagorean hodograph spline curves via an evolution process

Author keywords

[No Author keywords available]

Indexed keywords

DATA ACQUISITION; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 33749331838     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11802914_4     Document Type: Conference Paper
Times cited : (1)

References (19)
  • 1
    • 0035254279 scopus 로고    scopus 로고
    • Curve and surface fitting and design by optimal control methods
    • [AB01]
    • [AB01] M. Alhanaty and M. Bercovier. Curve and surface fitting and design by optimal control methods. Computer-Aided Design, 33:167-182, 2001.
    • (2001) Computer-aided Design , vol.33 , pp. 167-182
    • Alhanaty, M.1    Bercovier, M.2
  • 2
    • 84941151449 scopus 로고    scopus 로고
    • Hybrid curve fitting
    • [AJ05] Report no. 2 2005
    • [AJ05] M. Aigner and B. Jüttler. Hybrid curve fitting. FSP Industrial Geometry, Report no. 2 (2005), available at www.ig.jku.at, 2005.
    • (2005) FSP Industrial Geometry
    • Aigner, M.1    Jüttler, B.2
  • 3
    • 0344046254 scopus 로고    scopus 로고
    • Pythagorean-hodograph curves
    • [Far02] North-Holland, Amsterdam
    • [Far02] R. T. Farouki. Pythagorean-hodograph curves. In Handbook of computer aided geometric design, pages 405-427. North-Holland, Amsterdam, 2002.
    • (2002) Handbook of Computer Aided Geometric Design , pp. 405-427
    • Farouki, R.T.1
  • 5
    • 0032132201 scopus 로고    scopus 로고
    • Design of rational cam profiles with pythagorean-hodograph curves
    • [FMJ98]
    • [FMJ98] R. T. Farouki, J. Manjunathaiah, and S. Jee. Design of rational cam profiles with pythagorean-hodograph curves. Mech. and Mach. Theory, 33(6):669-682, 1998.
    • (1998) Mech. and Mach. Theory , vol.33 , Issue.6 , pp. 669-682
    • Farouki, R.T.1    Manjunathaiah, J.2    Jee, S.3
  • 6
    • 0004928564 scopus 로고    scopus 로고
    • Least-squares tool path approximation with Pythagorean-hodograph curves for high-speed CNC machining
    • [FST98] Info. Geom., Winchester
    • [FST98] R. T. Farouki, K. Saitou, and Y.-F. Tsai. Least-squares tool path approximation with Pythagorean-hodograph curves for high-speed CNC machining. In The mathematics of surfaces, VIII (Birmingham, 1998), pages 245-264. Info. Geom., Winchester, 1998.
    • (1998) The Mathematics of Surfaces, VIII (Birmingham, 1998) , pp. 245-264
    • Farouki, R.T.1    Saitou, K.2    Tsai, Y.-F.3
  • 7
    • 85020587372 scopus 로고    scopus 로고
    • Fast computation of generalized Voronoi diagrams using graphics hardware
    • [HKL+99] New York. ACM Press/Addison-Wesley
    • [HKL+99] Kenneth E. Hoff, John Keyser, Ming Lin, Dinesh Manocha, and Tim Culver. Fast computation of generalized Voronoi diagrams using graphics hardware. In SIGGRAPH '99, pages 277-286, New York, 1999. ACM Press/Addison-Wesley.
    • (1999) SIGGRAPH '99 , pp. 277-286
    • Hoff, K.E.1    Keyser, J.2    Lin, M.3    Manocha, D.4    Culver, T.5
  • 9
    • 0000656676 scopus 로고
    • Pythagorean triplets in unique factorization domains
    • [Kub72]
    • [Kub72] K.K. Kubota. Pythagorean triplets in unique factorization domains. Amer. Math. Monthly, 79:503-505, 1972.
    • (1972) Amer. Math. Monthly , vol.79 , pp. 503-505
    • Kubota, K.K.1
  • 11
    • 0035278647 scopus 로고    scopus 로고
    • Construction and shape analysis of PH quintic Hermite interpolants
    • [MFC01]
    • [MFC01] H. P. Moon, R. T. Farouki, and H. I. Choi. Construction and shape analysis of PH quintic Hermite interpolants. Comput. Aided Geom. Design, 18(2):93-115, 2001.
    • (2001) Comput. Aided Geom. Design , vol.18 , Issue.2 , pp. 93-115
    • Moon, H.P.1    Farouki, R.T.2    Choi, H.I.3
  • 12
    • 0031559375 scopus 로고    scopus 로고
    • Geometric Hermite interpolation with Tschirnhausen cubics
    • [MW97]
    • [MW97] D. S. Meek and D. J. Walton. Geometric Hermite interpolation with Tschirnhausen cubics. J. Comput. Appl. Math., 81(2):299-309, 1997.
    • (1997) J. Comput. Appl. Math. , vol.81 , Issue.2 , pp. 299-309
    • Meek, D.S.1    Walton, D.J.2
  • 13
    • 0042861788 scopus 로고    scopus 로고
    • A concept for parametric surface fitting which avoids the parametrization problem
    • [PL03]
    • [PL03] H. Pottmann and S. Leopoldseder. A concept for parametric surface fitting which avoids the parametrization problem. Comp. Aided Geom. Design, 20:343-362, 2003.
    • (2003) Comp. Aided Geom. Design , vol.20 , pp. 343-362
    • Pottmann, H.1    Leopoldseder, S.2
  • 14
    • 84948773216 scopus 로고    scopus 로고
    • Approximation with active B-spline curves and surfaces
    • [PLH02] IEEE Press
    • [PLH02] H. Pottmann, S. Leopoldseder, and M. Hofer. Approximation with active B-spline curves and surfaces. In Proc. Pacific Graphics, pages 8-25. IEEE Press, 2002.
    • (2002) Proc. Pacific Graphics , pp. 8-25
    • Pottmann, H.1    Leopoldseder, S.2    Hofer, M.3
  • 16
    • 0002919248 scopus 로고
    • Constrained B-spline curve and surface fitting
    • [RF89]
    • [RF89] D. Rogers and N. Fog. Constrained B-spline curve and surface fitting. Computer-Aided Design, 21:641-648, 1989.
    • (1989) Computer-aided Design , vol.21 , pp. 641-648
    • Rogers, D.1    Fog, N.2
  • 17
    • 26844483119 scopus 로고    scopus 로고
    • Constructing acceleration continuous tool paths using Pythagorean hodograph curves
    • [SJ05]
    • [SJ05] Z. Šír and B. Jüttler. Constructing acceleration continuous tool paths using Pythagorean hodograph curves. Mech. and Mach. Theory, 40(11): 1258-1272, 2005.
    • (2005) Mech. and Mach. Theory , vol.40 , Issue.11 , pp. 1258-1272
    • Šír, Z.1    Jüttler, B.2
  • 18
    • 0032187696 scopus 로고    scopus 로고
    • Global reparametrization for curve approximation
    • [SKH98]
    • [SKH98] T. Speer, M. Kuppe, and J. Hoschek. Global reparametrization for curve approximation. Comput. Aided Geom. Design, 15:869-877, 1998.
    • (1998) Comput. Aided Geom. Design , vol.15 , pp. 869-877
    • Speer, T.1    Kuppe, M.2    Hoschek, J.3
  • 19
    • 33745771700 scopus 로고    scopus 로고
    • Fitting B-spline curves to point clouds by squared distance minimization
    • [WPL06]
    • [WPL06] W. Wang, H. Pottmann, and Y. Liu. Fitting B-spline curves to point clouds by squared distance minimization. ACM Transactions on Graphics, 25(2), 2006.
    • (2006) ACM Transactions on Graphics , vol.25 , Issue.2
    • Wang, W.1    Pottmann, H.2    Liu, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.