Blending of quadric and cubic implicit algebraic surfaces along planar sections
Luo Jing
Abstract
Luo Jing
Abstract
The problem of the blending of quadratic and thrice algebraic surfaces was transformed into ascertaining the existence of nonzero solution of some homogeneous linear equations.The existence conditions of cubic and quartic blending surfaces were obtained.Finally,an algorithm was presented.
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The problem of the blending of quadratic and thrice algebraic surfaces was transformed into ascertaining the existence of nonzero solution of some homogeneous linear equations.The existence conditions of cubic and quartic blending surfaces were obtained.Finally,an algorithm was presented.
Key concepts: Quartic function, Quadric, Mathematics, Quadratic equation, Cubic function, Homogeneous, Planar, Algebraic number