Matches in SemOpenAlex for { <https://semopenalex.org/work/W2033609949> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2033609949 abstract "Oriented projective geometry is a model for geometric computation that combines the elegance of classical projective geometry with the ability to talk about oriented lines and planes, signed angles, line segments, convex figures, and many other concepts that cannot be defined within the classical version. Classical projective geometry is the implicit framework of many geometric computations, since it underlies the well-known homogeneous coordinate representation. It is argued here that oriented projective geometry — and its analytic model, based on signed homogeneous coordinates — provide a better foundation for computational geometry than their classical counterparts.The differences between the classical and oriented versions are largely confined to the mathematical formalism and its interpretation. Computationally, the changes are minimal and do not increase the cost and complexity of geometric algorithms. Geometric algorithms that use homogeneous coordinates can be easily converted to the oriented framework at little cost. The necessary changes are largely a matter of paying attention to the order of operands and to the signs of coordinates, which are frequently ignored or left unspecified in the classical framework." @default.
- W2033609949 created "2016-06-24" @default.
- W2033609949 creator A5001511641 @default.
- W2033609949 date "1991-01-01" @default.
- W2033609949 modified "2023-10-14" @default.
- W2033609949 title "Oriented Projective Geometry" @default.
- W2033609949 cites W1558195771 @default.
- W2033609949 cites W2018878283 @default.
- W2033609949 cites W2022718409 @default.
- W2033609949 cites W2060344687 @default.
- W2033609949 cites W2443862921 @default.
- W2033609949 doi "https://doi.org/10.1016/c2013-0-11551-6" @default.
- W2033609949 hasPublicationYear "1991" @default.
- W2033609949 type Work @default.
- W2033609949 sameAs 2033609949 @default.
- W2033609949 citedByCount "74" @default.
- W2033609949 countsByYear W20336099492012 @default.
- W2033609949 countsByYear W20336099492013 @default.
- W2033609949 countsByYear W20336099492014 @default.
- W2033609949 countsByYear W20336099492015 @default.
- W2033609949 countsByYear W20336099492017 @default.
- W2033609949 countsByYear W20336099492018 @default.
- W2033609949 countsByYear W20336099492020 @default.
- W2033609949 countsByYear W20336099492022 @default.
- W2033609949 crossrefType "book" @default.
- W2033609949 hasAuthorship W2033609949A5001511641 @default.
- W2033609949 hasConcept C106402246 @default.
- W2033609949 hasConcept C112680207 @default.
- W2033609949 hasConcept C11413529 @default.
- W2033609949 hasConcept C121332964 @default.
- W2033609949 hasConcept C134949993 @default.
- W2033609949 hasConcept C142362112 @default.
- W2033609949 hasConcept C153349607 @default.
- W2033609949 hasConcept C177846678 @default.
- W2033609949 hasConcept C185362025 @default.
- W2033609949 hasConcept C192939610 @default.
- W2033609949 hasConcept C202444582 @default.
- W2033609949 hasConcept C2524010 @default.
- W2033609949 hasConcept C33923547 @default.
- W2033609949 hasConcept C45374587 @default.
- W2033609949 hasConcept C46175816 @default.
- W2033609949 hasConcept C558565934 @default.
- W2033609949 hasConcept C62520636 @default.
- W2033609949 hasConcept C73301696 @default.
- W2033609949 hasConceptScore W2033609949C106402246 @default.
- W2033609949 hasConceptScore W2033609949C112680207 @default.
- W2033609949 hasConceptScore W2033609949C11413529 @default.
- W2033609949 hasConceptScore W2033609949C121332964 @default.
- W2033609949 hasConceptScore W2033609949C134949993 @default.
- W2033609949 hasConceptScore W2033609949C142362112 @default.
- W2033609949 hasConceptScore W2033609949C153349607 @default.
- W2033609949 hasConceptScore W2033609949C177846678 @default.
- W2033609949 hasConceptScore W2033609949C185362025 @default.
- W2033609949 hasConceptScore W2033609949C192939610 @default.
- W2033609949 hasConceptScore W2033609949C202444582 @default.
- W2033609949 hasConceptScore W2033609949C2524010 @default.
- W2033609949 hasConceptScore W2033609949C33923547 @default.
- W2033609949 hasConceptScore W2033609949C45374587 @default.
- W2033609949 hasConceptScore W2033609949C46175816 @default.
- W2033609949 hasConceptScore W2033609949C558565934 @default.
- W2033609949 hasConceptScore W2033609949C62520636 @default.
- W2033609949 hasConceptScore W2033609949C73301696 @default.
- W2033609949 hasLocation W20336099491 @default.
- W2033609949 hasOpenAccess W2033609949 @default.
- W2033609949 hasPrimaryLocation W20336099491 @default.
- W2033609949 hasRelatedWork W1485633210 @default.
- W2033609949 hasRelatedWork W1490678064 @default.
- W2033609949 hasRelatedWork W1498813999 @default.
- W2033609949 hasRelatedWork W1512504328 @default.
- W2033609949 hasRelatedWork W1537693622 @default.
- W2033609949 hasRelatedWork W1538991644 @default.
- W2033609949 hasRelatedWork W1597009130 @default.
- W2033609949 hasRelatedWork W1597196612 @default.
- W2033609949 hasRelatedWork W1976595761 @default.
- W2033609949 hasRelatedWork W2012710379 @default.
- W2033609949 hasRelatedWork W2019769120 @default.
- W2033609949 hasRelatedWork W2022266599 @default.
- W2033609949 hasRelatedWork W2026745357 @default.
- W2033609949 hasRelatedWork W2028310195 @default.
- W2033609949 hasRelatedWork W2033819227 @default.
- W2033609949 hasRelatedWork W2105980191 @default.
- W2033609949 hasRelatedWork W2107738794 @default.
- W2033609949 hasRelatedWork W2121752747 @default.
- W2033609949 hasRelatedWork W2970291528 @default.
- W2033609949 hasRelatedWork W51593462 @default.
- W2033609949 isParatext "false" @default.
- W2033609949 isRetracted "false" @default.
- W2033609949 magId "2033609949" @default.
- W2033609949 workType "book" @default.