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单词 Projective transform
释义

Projective transform

英语百科

Homography

Points A, B, C, D and A', B', C', D' are related by a perspectivity, which is a  projective transformation.
Homographies of the complex plane preserve orthogonal circles

In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces derive. It is a bijection that maps lines to lines, and thus a collineation. In general, some collineations are not homographies, but the fundamental theorem of projective geometry asserts that is not so in the case of real projective spaces of dimension at least two. Synonyms include projectivity, projective transformation, and projective collineation.

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更新时间:2025/6/23 1:48:24