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Volumn 38, Issue 6, 2006, Pages 608-618

Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics

Author keywords

Approximation order; Biarc; CNC machining; G code; Pythagorean hodograph curves

Indexed keywords

COMPUTER AIDED DESIGN; DATA REDUCTION; GRAPH THEORY; INTERPOLATION; MACHINING; SPLINES;

EID: 33746266485     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cad.2006.02.003     Document Type: Article
Times cited : (49)

References (19)
  • 1
  • 2
    • 0344046254 scopus 로고    scopus 로고
    • Pythagorean hodograph curves
    • Farin G., Hoschek J., and Kim M.-S. (Eds), North-Holland, Amsterdam
    • Farouki R.T. Pythagorean hodograph curves. In: Farin G., Hoschek J., and Kim M.-S. (Eds). Handbook of computer aided geometric design (2002), North-Holland, Amsterdam 405-427
    • (2002) Handbook of computer aided geometric design , pp. 405-427
    • Farouki, R.T.1
  • 3
    • 0000776279 scopus 로고    scopus 로고
    • Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves
    • Farouki R.T., Manjunathaiah J., Nichlas D., Yuan G.F., and Jee S. Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves. Comput Aided Des 30 8 (1998) 631-640
    • (1998) Comput Aided Des , vol.30 , Issue.8 , pp. 631-640
    • Farouki, R.T.1    Manjunathaiah, J.2    Nichlas, D.3    Yuan, G.F.4    Jee, S.5
  • 4
    • 10644224313 scopus 로고    scopus 로고
    • Biarc approximation of polygons within asymmetric tolerance bands
    • Held M., and Eibl J. Biarc approximation of polygons within asymmetric tolerance bands. Comput Aided Des 37 4 (2005) 357-371
    • (2005) Comput Aided Des , vol.37 , Issue.4 , pp. 357-371
    • Held, M.1    Eibl, J.2
  • 5
    • 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 Comput 70 (2001) 1089-1111
    • (2001) Math Comput , vol.70 , pp. 1089-1111
    • Jüttler, B.1
  • 6
    • 0032676954 scopus 로고    scopus 로고
    • An overview of offset curves and surfaces
    • Maekawa T. An overview of offset curves and surfaces. Comput Aided Des 31 (1999) 165-173
    • (1999) Comput Aided Des , vol.31 , pp. 165-173
    • Maekawa, T.1
  • 7
    • 0029307146 scopus 로고
    • Approximating smooth planar curves by arc splines
    • Meek D.S., and Walton D.J. Approximating smooth planar curves by arc splines. J Comput Appl Math 59 (1995) 221-231
    • (1995) J Comput Appl Math , vol.59 , pp. 221-231
    • Meek, D.S.1    Walton, D.J.2
  • 8
    • 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 Des 18 (2001) 93-115
    • (2001) Comput Aided Geom Des , vol.18 , pp. 93-115
    • Moon, H.P.1    Farouki, R.T.2    Choi, H.I.3
  • 10
    • 3042814107 scopus 로고    scopus 로고
    • Error-bounded biarc approximation of planar curves
    • Park H. Error-bounded biarc approximation of planar curves. Comput Aided Des 36 (2004) 1241-1251
    • (2004) Comput Aided Des , vol.36 , pp. 1241-1251
    • Park, H.1
  • 11
    • 0037105879 scopus 로고    scopus 로고
    • Biarc approximation of NURBS curves
    • Piegl L.A., and Tiller W. Biarc approximation of NURBS curves. Comput Aided Des 34 (2002) 807-814
    • (2002) Comput Aided Des , vol.34 , pp. 807-814
    • Piegl, L.A.1    Tiller, W.2
  • 12
    • 33746262271 scopus 로고    scopus 로고
    • Poliakoff JF, Wong Y-K, Thomas PD. An analysis of biarc algorithms for 2-D curves. In: Mathematical methods for curves and surfaces II (Lillehammer, 1997). Nashville, TN: Vanderbilt University Press; 1998. p. 401-8.
  • 13
    • 33746244632 scopus 로고    scopus 로고
    • Sabin MA. The use of circular arcs to form curves interpolated through empirical data points. Rep. VTO/MS/164, British Aircraft Corporation; 1976.
  • 14
    • 26844483119 scopus 로고    scopus 로고
    • Constructing acceleration continuous tool paths using pythagorean hodograph curves
    • Šír Z., and Jüttler B. Constructing acceleration continuous tool paths using pythagorean hodograph curves. Mech Mach Theory 40 11 (2005) 1258-1272
    • (2005) Mech Mach Theory , vol.40 , Issue.11 , pp. 1258-1272
    • Šír, Z.1    Jüttler, B.2
  • 15
    • 3042816470 scopus 로고    scopus 로고
    • Modifying free-formed NURBS curves and surfaces for offsetting without local self-intersection
    • Sun Y.F., Nee A.Y.C., and Lee K.S. Modifying free-formed NURBS curves and surfaces for offsetting without local self-intersection. Comput Aided Des 36 (2004) 1161-1169
    • (2004) Comput Aided Des , vol.36 , pp. 1161-1169
    • Sun, Y.F.1    Nee, A.Y.C.2    Lee, K.S.3
  • 16
    • 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 Des 18 3 (2001) 245-265
    • (2001) Comput Aided Geom Des , vol.18 , Issue.3 , pp. 245-265
    • Tsai, Y.-F.1    Farouki, R.T.2    Feldman, B.3
  • 17
    • 0031559375 scopus 로고    scopus 로고
    • Geometric hermite interpolation with tschirnhausen cubics
    • Meek D.S., and Walton D.J. Geometric hermite interpolation with tschirnhausen cubics. J Comput Appl Math 81 (1997) 299-309
    • (1997) J Comput Appl Math , vol.81 , pp. 299-309
    • Meek, D.S.1    Walton, D.J.2
  • 18
    • 0036832973 scopus 로고    scopus 로고
    • Efficient circular arc interpolation based on active tolerance control
    • Yang X. Efficient circular arc interpolation based on active tolerance control. Comput Aided Des 34 (2002) 1037-1046
    • (2002) Comput Aided Des , vol.34 , pp. 1037-1046
    • Yang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.