Smooth blending of two algebraic surface along planar sections
LI Yun-dong
Abstract
LI Yun-dong
Abstract
The problem of the blending of the quadratic and thrice algebraic surfaces is transformed into the existence of the nonzero solution of some homogeneous linear equations.The existence conditions of the cubic and quadratic blending surfaces are obtained.An algorithm is presented.
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The problem of the blending of the quadratic and thrice algebraic surfaces is transformed into the existence of the nonzero solution of some homogeneous linear equations.The existence conditions of the cubic and quadratic blending surfaces are obtained.An algorithm is presented.
Key concepts: Quadratic equation, Algebraic surface, Planar, Homogeneous, Algebraic number, Surface (topology), Mathematics, Mathematical analysis