Matches in SemOpenAlex for { <https://semopenalex.org/work/W431573833> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W431573833 abstract "Shape analysis and recognition is a field ripe with creative solutions and innovative algorithms. We give a quick introduction to several different approaches, before basing our work on a representation introduced by Klassen et. al., considering shapes as equivalence classes of closed curves in the plane under reparametrization, and invariant under translation, rotation and scaling. We extend this to a definition for nonclosed curves, and prove a number of results, mostly concerning under which conditions on these curves the set of shapes become manifolds. We then motivate the study of geodesics on these manifolds as a means to compute a shape metric, and present two methods for computing such geodesics: the shooting method from Klassen et. al. and the ``direct'' method, new to this paper. Some numerical experiments are performed, which indicate that the direct method performs better for realistically chosen parameters, albeit not asymptotically." @default.
- W431573833 created "2016-06-24" @default.
- W431573833 creator A5019762075 @default.
- W431573833 date "2009-01-01" @default.
- W431573833 modified "2023-09-24" @default.
- W431573833 title "Computing Metrics on Riemannian Shape Manifolds: Geometric shape analysis made practical" @default.
- W431573833 hasPublicationYear "2009" @default.
- W431573833 type Work @default.
- W431573833 sameAs 431573833 @default.
- W431573833 citedByCount "0" @default.
- W431573833 crossrefType "dissertation" @default.
- W431573833 hasAuthorship W431573833A5019762075 @default.
- W431573833 hasConcept C112604564 @default.
- W431573833 hasConcept C162324750 @default.
- W431573833 hasConcept C165818556 @default.
- W431573833 hasConcept C176217482 @default.
- W431573833 hasConcept C17744445 @default.
- W431573833 hasConcept C190470478 @default.
- W431573833 hasConcept C199360897 @default.
- W431573833 hasConcept C199539241 @default.
- W431573833 hasConcept C202444582 @default.
- W431573833 hasConcept C21547014 @default.
- W431573833 hasConcept C2524010 @default.
- W431573833 hasConcept C2776359362 @default.
- W431573833 hasConcept C2780069185 @default.
- W431573833 hasConcept C33923547 @default.
- W431573833 hasConcept C37914503 @default.
- W431573833 hasConcept C41008148 @default.
- W431573833 hasConcept C94625758 @default.
- W431573833 hasConcept C97686452 @default.
- W431573833 hasConcept C99844830 @default.
- W431573833 hasConceptScore W431573833C112604564 @default.
- W431573833 hasConceptScore W431573833C162324750 @default.
- W431573833 hasConceptScore W431573833C165818556 @default.
- W431573833 hasConceptScore W431573833C176217482 @default.
- W431573833 hasConceptScore W431573833C17744445 @default.
- W431573833 hasConceptScore W431573833C190470478 @default.
- W431573833 hasConceptScore W431573833C199360897 @default.
- W431573833 hasConceptScore W431573833C199539241 @default.
- W431573833 hasConceptScore W431573833C202444582 @default.
- W431573833 hasConceptScore W431573833C21547014 @default.
- W431573833 hasConceptScore W431573833C2524010 @default.
- W431573833 hasConceptScore W431573833C2776359362 @default.
- W431573833 hasConceptScore W431573833C2780069185 @default.
- W431573833 hasConceptScore W431573833C33923547 @default.
- W431573833 hasConceptScore W431573833C37914503 @default.
- W431573833 hasConceptScore W431573833C41008148 @default.
- W431573833 hasConceptScore W431573833C94625758 @default.
- W431573833 hasConceptScore W431573833C97686452 @default.
- W431573833 hasConceptScore W431573833C99844830 @default.
- W431573833 hasLocation W4315738331 @default.
- W431573833 hasOpenAccess W431573833 @default.
- W431573833 hasPrimaryLocation W4315738331 @default.
- W431573833 hasRelatedWork W1562047587 @default.
- W431573833 hasRelatedWork W1577821797 @default.
- W431573833 hasRelatedWork W1661364951 @default.
- W431573833 hasRelatedWork W1797446837 @default.
- W431573833 hasRelatedWork W1969002377 @default.
- W431573833 hasRelatedWork W1974307177 @default.
- W431573833 hasRelatedWork W2000682967 @default.
- W431573833 hasRelatedWork W2015440243 @default.
- W431573833 hasRelatedWork W2055834603 @default.
- W431573833 hasRelatedWork W2062279006 @default.
- W431573833 hasRelatedWork W2093976044 @default.
- W431573833 hasRelatedWork W2111693792 @default.
- W431573833 hasRelatedWork W2124968127 @default.
- W431573833 hasRelatedWork W2137633202 @default.
- W431573833 hasRelatedWork W2243390111 @default.
- W431573833 hasRelatedWork W2289034493 @default.
- W431573833 hasRelatedWork W2527885993 @default.
- W431573833 hasRelatedWork W2528856947 @default.
- W431573833 hasRelatedWork W2597372583 @default.
- W431573833 hasRelatedWork W26925367 @default.
- W431573833 isParatext "false" @default.
- W431573833 isRetracted "false" @default.
- W431573833 magId "431573833" @default.
- W431573833 workType "dissertation" @default.