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单词 projective transformation
释义

projective transformation

Real n-dimensional projective space can be defined as (Rn + 1–{0})/R (see homogeneous coordinates). So an invertible linear map T:Rn + 1→Rn + 1 induces a projective transformation [T]([v]) = [Tv], where [v] denotes the projective point represented by v ε Rn+1. The projective transformations form a group PGL(n + 1,R) under composition. The group PGL(2,ℂ) is the group of Möbius transformations, acting on the Riemann sphere.

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更新时间:2025/4/29 8:13:01