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PYTHAGOREAN-HODOGRAPH CUBICS AND GEOMETRIC HERMITE INTERPOLATION

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초록

In this paper, we present the geometric Hermite interpolation for planar Pythagorean-hodograph cubics for some general Hermite data.

Abstract

In this paper, we present the geometric Hermite interpolation for planar Pythagorean-hodograph cubics for some general Hermite data.

참고문헌 (11)

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  4. R. T. Farouki, "Pythagorean-hodograph quintic transition curves of nonotone curvature", Computer-Aided Design, 29, pp.606~610 (1997)
  5. R. T. Farouki, "Variable-feedrate CNC interpolators for constant material removal rates along Pythagorean-hodograph curves", Computer-Aided Design, 30, pp.631~640 (1998)
  6. R. T. Farouki, "Pythagorean hodographs", IBM Journal of Research and Development, 34, pp.726~752 (1990)
  7. J. Kosinka, "G1 Hermite interpolation by Minkowski Pythagorean hodo- graph cubics", Computer Aided Geometric Design, 23, pp.401~418 (2006)
  8. D. Marsh, "Applied Geometry for Computer Graphics and CAD", pp.135~160 (2005), Springer
  9. D. S. Meek, "Geometric Hermite interpolation with Tschirnhausen cubic", Journal of Computational and Applied Mathematics, 81, pp.299~309 (1997)
  10. F. Pelosi, "Geometric Hermite interpolation by spatial Pythagorean hodograph cubics", Carla Manni and Alessandra Sestini Advances in Computataional Mathematiec, 22, pp.325~352 (2005)
  11. D. J. Walton, "A Pythagorean hodograph quintic spiral", Computer Aided Geometric Design, 28, pp.643~650 (1996)

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