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Original Articles

Rational rolling ball blending of natural quadrics

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Pages 97-107 | Received 30 Sep 1999, Published online: 14 Oct 2010

References

  • Krasauskas , R. 1995 . “ Rational Bézier Surface Patches on Quadrics and the Torus ” . 95 – 25 . Vilnius University . Preprint
  • Krasauskas , R. 1997 . “ Universal parameterizations of some rational surfaces ” . In Curves and Surfaces with Applications in CAGD , Edited by: LeMéhauté , A. , Rabut , C. , and , C. and Schumaker , L.L. 231 – 238 . Nashville : Vanderbilt Univ. Press .
  • Krasauskas , R. and Mäurer , C. 1999 . Studying cyclides with Laguerre geometry . Computer Aided Geometric Design , (to appear)
  • Peternell , M. 1998 . Geometric Properties of Bisector Surface . Technical Report, Institut für Geometrie, Technische Universität Wien , 57
  • Peternell , M. and Pottmann , H. 1997 . Computing rational parametrizations of canal surfaces . Journal of Symbolic Computation , 23 : 255 – 266 .
  • Peternell , M. and Pottmann , H. 1998 . A Laguerre geometric approach to rational offsets . Computer Aided Geometric Design , 15 : 223 – 249 .
  • Pratt , M.J. 1990 . Cyclides in computer aided design . Computer Aided Geometric Design , 7 : 221 – 242 .
  • Sanglikar , M.A. , Koparkar , P. and Joshi , V.N. 1990 . Modelling rolling ball blends for computer aided design . Computer Aided Geometric Design , 7 : 399 – 414 .
  • Srinivas , Y.L. and Dutta , D. 1994 . Blending and joining using cyclides . ASME J. Mech. Design , 116 : 1034 – 1041 .
  • Partially supported by Grant from Lithuanian Foundation of Studies and Science.

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