Closed form of the inverse Plücker correspondence in line geometry

来源 :中国科学:数学英文版 | 被引量 : 0次 | 上传用户：a2590222

【摘要】

：

By mapping the homogeneous coordinates of two points in space to the Plücker coordinates of the line they determine, any transformation of type SL(4) upon

【作者】

：

Lei Dong Hongbo Li Lei Huang C

【机构】

：

KeyLaboratoryofMathematicsMechanization

【出处】

：

中国科学:数学英文版

【发表日期】

：

2019年12期

【关键词】

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Plücker CORRESPONDENCE INVERSE Plücker CORRESPONDENCE LINE GEOMETRY SL

【基金项目】

：

supported by National Natural Science Foundation of China(Grant No.11671388),the CAS Frontier Key Project(Grant No.QYZDJ-SSW-SYS022).

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By mapping the homogeneous coordinates of two points in space to the Plücker coordinates of the line they determine, any transformation of type SL(4) upon points in space is mapped to a transformation of type SO0(3, 3), the latter being the connected

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