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Isomorphic Researches on Convex Hull and its Special Properties Based on Algebra View
基于代数视角的凸壳及其特性同构化研究

Keywords: Isomorphic,Convex hull,Convex hull algorithm,Convex combination,Basic set of solutions
同构化
,凸壳,凸壳算法,凸组合,基础解系

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Abstract:

The current convex hull algorithms find out the apexes of convex hull from the view based on the geometric characteristics of convex hull.These algorithms are suitable to study the convex hull problem in low dimensions space.But the geometric relationship of the convex hull in high dimensions space is very complex,how to research,design and raise the algorithm efficiency in high dimensions space is more difficult.The natural nature relationship between geometry and algebra was concerned,the convex hull prob...

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