Matches in SemOpenAlex for { <https://semopenalex.org/work/W2909968596> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2909968596 abstract "A tutorial introduction to projective geometric algebra (PGA), a modern, coordinate-free framework for doing euclidean geometry. PGA features: uniform representation of points, lines, and planes; robust, parallel-safe join and meet operations; compact, polymorphic syntax for euclidean formulas and constructions; a single intuitive sandwich form for isometries; native support for automatic differentiation; and tight integration of kinematics and rigid body mechanics. Inclusion of vector, quaternion, dual quaternion, and exterior algebras as sub-algebras simplifies the learning curve and transition path for experienced practitioners. On the practical side, it can be efficiently implemented, while its rich syntax enhances programming productivity. The basic ideas are introduced in the 2D context; the 3D treatment focus on selected topics. Advantages to traditional approaches are collected in a table at the end. The article aims to be a self-contained introduction for practitioners of euclidean geometry and includes numerous examples, figures, and tables." @default.
- W2909968596 created "2019-01-25" @default.
- W2909968596 creator A5071668982 @default.
- W2909968596 date "2019-01-16" @default.
- W2909968596 modified "2023-09-27" @default.
- W2909968596 title "Projective geometric algebra: A new framework for doing euclidean geometry" @default.
- W2909968596 cites W1719494151 @default.
- W2909968596 cites W2040040776 @default.
- W2909968596 cites W2306513194 @default.
- W2909968596 cites W2323433001 @default.
- W2909968596 cites W2951639154 @default.
- W2909968596 cites W59605967 @default.
- W2909968596 cites W79836551 @default.
- W2909968596 cites W87105686 @default.
- W2909968596 cites W91135500 @default.
- W2909968596 hasPublicationYear "2019" @default.
- W2909968596 type Work @default.
- W2909968596 sameAs 2909968596 @default.
- W2909968596 citedByCount "0" @default.
- W2909968596 crossrefType "posted-content" @default.
- W2909968596 hasAuthorship W2909968596A5071668982 @default.
- W2909968596 hasConcept C121332964 @default.
- W2909968596 hasConcept C129782007 @default.
- W2909968596 hasConcept C136119220 @default.
- W2909968596 hasConcept C151730666 @default.
- W2909968596 hasConcept C171558263 @default.
- W2909968596 hasConcept C185362025 @default.
- W2909968596 hasConcept C200127275 @default.
- W2909968596 hasConcept C202444582 @default.
- W2909968596 hasConcept C2524010 @default.
- W2909968596 hasConcept C2779343474 @default.
- W2909968596 hasConcept C33923547 @default.
- W2909968596 hasConcept C39920418 @default.
- W2909968596 hasConcept C41008148 @default.
- W2909968596 hasConcept C68363185 @default.
- W2909968596 hasConcept C74650414 @default.
- W2909968596 hasConcept C86803240 @default.
- W2909968596 hasConceptScore W2909968596C121332964 @default.
- W2909968596 hasConceptScore W2909968596C129782007 @default.
- W2909968596 hasConceptScore W2909968596C136119220 @default.
- W2909968596 hasConceptScore W2909968596C151730666 @default.
- W2909968596 hasConceptScore W2909968596C171558263 @default.
- W2909968596 hasConceptScore W2909968596C185362025 @default.
- W2909968596 hasConceptScore W2909968596C200127275 @default.
- W2909968596 hasConceptScore W2909968596C202444582 @default.
- W2909968596 hasConceptScore W2909968596C2524010 @default.
- W2909968596 hasConceptScore W2909968596C2779343474 @default.
- W2909968596 hasConceptScore W2909968596C33923547 @default.
- W2909968596 hasConceptScore W2909968596C39920418 @default.
- W2909968596 hasConceptScore W2909968596C41008148 @default.
- W2909968596 hasConceptScore W2909968596C68363185 @default.
- W2909968596 hasConceptScore W2909968596C74650414 @default.
- W2909968596 hasConceptScore W2909968596C86803240 @default.
- W2909968596 hasLocation W29099685961 @default.
- W2909968596 hasOpenAccess W2909968596 @default.
- W2909968596 hasPrimaryLocation W29099685961 @default.
- W2909968596 hasRelatedWork W1006411175 @default.
- W2909968596 hasRelatedWork W104662952 @default.
- W2909968596 hasRelatedWork W1424830229 @default.
- W2909968596 hasRelatedWork W152133686 @default.
- W2909968596 hasRelatedWork W1556257241 @default.
- W2909968596 hasRelatedWork W1909164099 @default.
- W2909968596 hasRelatedWork W2036799781 @default.
- W2909968596 hasRelatedWork W2179817186 @default.
- W2909968596 hasRelatedWork W2470452670 @default.
- W2909968596 hasRelatedWork W2741273543 @default.
- W2909968596 hasRelatedWork W2765716058 @default.
- W2909968596 hasRelatedWork W2824770671 @default.
- W2909968596 hasRelatedWork W2917900502 @default.
- W2909968596 hasRelatedWork W2942026896 @default.
- W2909968596 hasRelatedWork W3021350281 @default.
- W2909968596 hasRelatedWork W3022284700 @default.
- W2909968596 hasRelatedWork W3022879792 @default.
- W2909968596 hasRelatedWork W3116511250 @default.
- W2909968596 hasRelatedWork W582419868 @default.
- W2909968596 hasRelatedWork W634224103 @default.
- W2909968596 isParatext "false" @default.
- W2909968596 isRetracted "false" @default.
- W2909968596 magId "2909968596" @default.
- W2909968596 workType "article" @default.