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Blending Algebraic Surfaces Using Quadric Surface

ZHAN Bingjun1, BAI Genzhu2, LEI Na3   

  1. 1. Department of Mathematics, Daqing Normal College, Daqing 163712, Heilongjiang Province, China;2. College of Mathematics and Computer Science, Inner Mongolia University for Nationnalities, Tongliao 028043, Inner Mongolia Autonomous Region, China; 3. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2007-05-08 Revised:1900-01-01 Online:2007-07-26 Published:2007-07-26
  • Contact: LEI Na

Abstract: The theory and the method of constructive algebraic geometry were used to construct a kind of structure from two spheres and a hyperboloid of one sheet which can be used to blend any two kinds of quadric surfaces smoothly. This method is easy to be realized and the degrees of the blending surfaces are the lowest. Finally we also gave an example to show the effectivity of this structure by blending two cylinders.

Key words: blending, geometric continuity, quadric surface

CLC Number: 

  • O241.3