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中文摘要：
研究了具有几何约束的一类3次代数曲线的光滑拼接及保凸性问题,得到2条3次代数曲线的G1、G2光滑拼接定理,以及2条3次代数曲线光滑拼接的保凸性定理和多条3次代数曲线光滑拼接的全凸性定理.
英文摘要：
The problems of smooth connection and convex-preserving for a class of cubicalgebraic curves with geometric constraints are investigated.The G1 and G2 smooth connection theorems for two cubic algebraic curves are obtained.The convex-preserving theorem of smooth connection for two cubic algebraic curves and the global convexity theorem of smooth connection for several cubic algebraic curves are also given.
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