메뉴 건너뛰기




Volumn 27, Issue 5, 2010, Pages 405-417

Hermite interpolation by hypocycloids and epicycloids with rational offsets

Author keywords

Epicycloids; Hermite interpolation; Hypocycloids; Pythagorean hodograph curves; Rational offsets; Support function

Indexed keywords

EFFICIENT ALGORITHM; HERMITE INTERPOLATION; PYTHAGOREAN HODOGRAPH CURVES; SUPPORT FUNCTIONS;

EID: 77951024272     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cagd.2010.02.001     Document Type: Article
Times cited : (20)

References (30)
  • 2
    • 0002452294 scopus 로고
    • Pythagorean-hodograph curves in practical use
    • Barnhill R.E. (Ed), SIAM, Philadelphia
    • Farouki R.T. Pythagorean-hodograph curves in practical use. In: Barnhill R.E. (Ed). Geometry Processing for Design and Manufacturing (1992), SIAM, Philadelphia 3-33
    • (1992) Geometry Processing for Design and Manufacturing , pp. 3-33
    • Farouki, R.T.1
  • 3
    • 0344046254 scopus 로고    scopus 로고
    • Pythagorean-hodograph curves
    • Hoschek J., Farin G., and Kim M.-S. (Eds), Elsevier
    • Farouki R.T. Pythagorean-hodograph curves. In: Hoschek J., Farin G., and Kim M.-S. (Eds). Handbook of Computer Aided Geometric Design (2002), Elsevier 405-427
    • (2002) Handbook of Computer Aided Geometric Design , pp. 405-427
    • Farouki, R.T.1
  • 5
    • 21844514153 scopus 로고
    • Hermite interpolation by Pythagorean-hodograph quintics
    • Farouki R.T., and Neff C.A. Hermite interpolation by Pythagorean-hodograph quintics. Mathematics of Computation 64 212 (1995) 1589-1609
    • (1995) Mathematics of Computation , vol.64 , Issue.212 , pp. 1589-1609
    • Farouki, R.T.1    Neff, C.A.2
  • 6
    • 0005348623 scopus 로고    scopus 로고
    • Cycles upon cycles: An anecdotal history of higher curves in science and engineering
    • Dæhlen M., Lyche T., and Schumaker L.L. (Eds), Vanderbilt University Press
    • Farouki R.T., and Rampersad J. Cycles upon cycles: An anecdotal history of higher curves in science and engineering. In: Dæhlen M., Lyche T., and Schumaker L.L. (Eds). Mathematical Methods for Curves and Surfaces II (1998), Vanderbilt University Press 95-116
    • (1998) Mathematical Methods for Curves and Surfaces II , pp. 95-116
    • Farouki, R.T.1    Rampersad, J.2
  • 10
    • 0007236296 scopus 로고    scopus 로고
    • Triangular Bézier surface patches with linear normal vector field
    • Cripps R. (Ed), Information Geometers
    • Jüttler B. Triangular Bézier surface patches with linear normal vector field. In: Cripps R. (Ed). The Mathematics of Surfaces VIII (1998), Information Geometers 431-446
    • (1998) The Mathematics of Surfaces VIII , pp. 431-446
    • Jüttler, B.1
  • 11
    • 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. Mathematics of Computation 70 (2001) 1089-1111
    • (2001) Mathematics of Computation , vol.70 , pp. 1089-1111
    • Jüttler, B.1
  • 13
    • 34547166419 scopus 로고    scopus 로고
    • Rational hypersurfaces with rational convolutions
    • Lávička M., and Bastl B. Rational hypersurfaces with rational convolutions. Computer Aided Geometric Design 24 7 (2007) 410-426
    • (2007) Computer Aided Geometric Design , vol.24 , Issue.7 , pp. 410-426
    • Lávička, M.1    Bastl, B.2
  • 14
    • 77950111137 scopus 로고    scopus 로고
    • Lávička, M., Bastl, B., Šír, Z., 2010. Reparameterization of curves and surfaces with respect to convolutions. In: Dæhlen, M., et al. (Eds.), MMCS 2008. In: Lecture Notes in Computer Science, 5862, pp. 285-298
    • Lávička, M., Bastl, B., Šír, Z., 2010. Reparameterization of curves and surfaces with respect to convolutions. In: Dæhlen, M., et al. (Eds.), MMCS 2008. In: Lecture Notes in Computer Science, vol. 5862, pp. 285-298
  • 15
    • 0002928828 scopus 로고
    • Offset-rational parametric plane curves
    • Lü W. Offset-rational parametric plane curves. Computer-Aided Design 12 (1995) 601-616
    • (1995) Computer-Aided Design , vol.12 , pp. 601-616
    • Lü, W.1
  • 16
    • 0032676954 scopus 로고    scopus 로고
    • An overview of offset curves and surfaces
    • Maekawa T. An overview of offset curves and surfaces. Computer-Aided Design 31 (1999) 165-173
    • (1999) Computer-Aided Design , vol.31 , pp. 165-173
    • Maekawa, T.1
  • 17
    • 85199154514 scopus 로고    scopus 로고
    • Princeton University Press, Princeton, NJ
    • Maor E. Trigonometric Delights (1998), Princeton University Press, Princeton, NJ
    • (1998) Trigonometric Delights
    • Maor, E.1
  • 18
    • 0001335040 scopus 로고    scopus 로고
    • Rational approximation of rotation minimizing frames using Pythagorean-hodograph cubics
    • Mäurer C., and Jüttler B. Rational approximation of rotation minimizing frames using Pythagorean-hodograph cubics. Journal for Geometry and Graphics 3 (1999) 141-159
    • (1999) Journal for Geometry and Graphics , vol.3 , pp. 141-159
    • Mäurer, C.1    Jüttler, B.2
  • 20
    • 38249011793 scopus 로고
    • Offset curves and surfaces: a brief survey
    • Pham B. Offset curves and surfaces: a brief survey. Computer-Aided Design 24 (1992) 223-229
    • (1992) Computer-Aided Design , vol.24 , pp. 223-229
    • Pham, B.1
  • 22
    • 0032623741 scopus 로고    scopus 로고
    • Computing offsets of NURBS curves and surfaces
    • Piegl L., and Tiller W. Computing offsets of NURBS curves and surfaces. Computer-Aided Design 31 (1999) 147-156
    • (1999) Computer-Aided Design , vol.31 , pp. 147-156
    • Piegl, L.1    Tiller, W.2
  • 23
    • 0001383351 scopus 로고
    • Curve design with rational Pythagorean-hodograph curves
    • Pottmann H. Curve design with rational Pythagorean-hodograph curves. Advances in Computational Mathematics 3 (1995) 147-170
    • (1995) Advances in Computational Mathematics , vol.3 , pp. 147-170
    • Pottmann, H.1
  • 24
    • 0029271014 scopus 로고
    • Rational curves and surfaces with rational offsets
    • Pottmann H. Rational curves and surfaces with rational offsets. Computer Aided Geometric Design 12 2 (1995) 175-192
    • (1995) Computer Aided Geometric Design , vol.12 , Issue.2 , pp. 175-192
    • Pottmann, H.1
  • 25
    • 0000389121 scopus 로고    scopus 로고
    • Bézier representation of epitrochoids and hypotrochoids
    • Sánchez-Reyes J. Bézier representation of epitrochoids and hypotrochoids. Computer-Aided Design 31 (1999) 747-750
    • (1999) Computer-Aided Design , vol.31 , pp. 747-750
    • Sánchez-Reyes, J.1
  • 26
    • 33746266485 scopus 로고    scopus 로고
    • Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics
    • Šír Z., Feichtinger R., and Jüttler B. Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics. Computer-Aided Design 38 (2006) 608-618
    • (2006) Computer-Aided Design , vol.38 , pp. 608-618
    • Šír, Z.1    Feichtinger, R.2    Jüttler, B.3
  • 28
    • 38849147026 scopus 로고    scopus 로고
    • Curves and surfaces represented by polynomial support functions
    • Šír Z., Gravesen J., and Jüttler B. Curves and surfaces represented by polynomial support functions. Theoretical Computer Science 392 (2008) 141-157
    • (2008) Theoretical Computer Science , vol.392 , pp. 141-157
    • Šír, Z.1    Gravesen, J.2    Jüttler, B.3
  • 30
    • 33846593339 scopus 로고    scopus 로고
    • Error analysis of reparametrization based approaches for curve offsetting
    • Zhao H.-Y., and Wang G.-J. Error analysis of reparametrization based approaches for curve offsetting. Computer-Aided Design 39 (2007) 142-148
    • (2007) Computer-Aided Design , vol.39 , pp. 142-148
    • Zhao, H.-Y.1    Wang, G.-J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.