homography

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English

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Etymology

From homo- +‎ -graphy.

Pronunciation

Noun

homography (countable and uncountable, plural homographies)

  1. The state or quality of being written in the same way, especially when spelled with the same letters (as with a pair of homonyms), or also as represented with similar or identical glyphs (as with homoglyphs); the state or quality of existing as homographs.
    Hypernym: homonymy
    Hyponym: homoglyphy
    Coordinate term: homophony
  2. (geometry) An isomorphism between projective spaces that maps straight lines to straight lines.
    Synonyms: projectivity, projective transformation, projective collineation
    Hypernym: collineation
    Hyponyms: linear fractional transformation, Möbius transformation
    A homography on a real projective plane can be specified by a mapping from one set of four non-collinear points to another set of four non-collinear points. Given such a specification, then the 3-by-3 homography matrix may be computed by means of the DLT (Direct Linear Transformation) algorithm.