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单词 barycentric coordinates
释义

barycentric coordinates

If a triangle's vertices have position vectors a,b,c, the position vector of any point of the plane containing the triangle can be written uniquely as αa + βb + γc where α + β + γ = 1. The point's barycentric coordinates are α,β,γ. Points inside the triangle have positive barycentric coordinates. At the triangle's centroid α=β=γ = 1/3. Barycentric coordinates can similarly be defined for a simplex.

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更新时间:2025/4/29 12:36:45