摘要
用代数几何方法讨论2个二次代数曲面的拼接问题.得到二次GC0和三次GC1拼接曲面的存在条件及相应拼接曲面的表达式.此方法为构造性的,计算量小,所获得的拼接曲面是最低次数的.
The present paper deals with the blending of two quadratic algebraic surfaces by means of algebraic geometry. The paper gives obtain some conditions for the existence of GC0 quadrics and cubic GC1 blending surfaces, and the corresponding constructive formulas of blending surfaces. The blending surface formulas for all possible solutions obtained are of the lower degree, constructive and less computational complexity.
出处
《吉林大学自然科学学报》
CAS
CSCD
1998年第3期27-37,共11页
Acta Scientiarum Naturalium Universitatis Jilinensis