homography

English

Etymology

From homo- +‎ -graphy.

Pronunciation

• (Received Pronunciation) enPR: hōmŏʹgrəfĭ, IPA^(key): /həʊˈmɒɡɹəfɪ/
• (US) IPA^(key): /hoʊˈmɒɡɹəfi/
• Rhymes: -ɒɡɹəfi

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.

Related terms

• heterography, homeography