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单词 homogeneous coordinates
释义

homogeneous coordinates

Coordinates used in projective spaces. In the real projective plane ℙ2 = (R3–{0})/R the vectors (x,y,z) and (cx,cy,cz), where c is non-zero, represent the same point. Then [x:y:z] are the homogeneous coordinates for this point, so that [x:y:z]=[cx:cy:cz]. Points of the complex projective line have coordinates of the form [1:z] or [0:1], so that [0:1] equates with ∞ in the extended complex plane.

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更新时间:2025/4/30 8:19:05