Matches in SemOpenAlex for { <https://semopenalex.org/work/W1979013584> ?p ?o ?g. }
- W1979013584 endingPage "1730" @default.
- W1979013584 startingPage "1717" @default.
- W1979013584 abstract "This paper presents a novel Riemannian framework for shape analysis of parameterized surfaces. In particular, it provides efficient algorithms for computing geodesic paths which, in turn, are important for comparing, matching, and deforming surfaces. The novelty of this framework is that geodesics are invariant to the parameterizations of surfaces and other shape-preserving transformations of surfaces. The basic idea is to formulate a space of embedded surfaces (surfaces seen as embeddings of a unit sphere in IR3) and impose a Riemannian metric on it in such a way that the reparameterization group acts on this space by isometries. Under this framework, we solve two optimization problems. One, given any two surfaces at arbitrary rotations and parameterizations, we use a path-straightening approach to find a geodesic path between them under the chosen metric. Second, by modifying a technique presented in [25], we solve for the optimal rotation and parameterization (registration) between surfaces. Their combined solution provides an efficient mechanism for computing geodesic paths in shape spaces of parameterized surfaces. We illustrate these ideas using examples from shape analysis of anatomical structures and other general surfaces." @default.
- W1979013584 created "2016-06-24" @default.
- W1979013584 creator A5012138072 @default.
- W1979013584 creator A5016773409 @default.
- W1979013584 creator A5038818778 @default.
- W1979013584 creator A5075870288 @default.
- W1979013584 creator A5086786635 @default.
- W1979013584 date "2012-09-01" @default.
- W1979013584 modified "2023-10-11" @default.
- W1979013584 title "Elastic Geodesic Paths in Shape Space of Parameterized Surfaces" @default.
- W1979013584 cites W1503893179 @default.
- W1979013584 cites W1543220894 @default.
- W1979013584 cites W1580703803 @default.
- W1979013584 cites W1964320082 @default.
- W1979013584 cites W1985802733 @default.
- W1979013584 cites W1994680768 @default.
- W1979013584 cites W200495424 @default.
- W1979013584 cites W2034987376 @default.
- W1979013584 cites W2038952578 @default.
- W1979013584 cites W2046267209 @default.
- W1979013584 cites W2048414631 @default.
- W1979013584 cites W2071079189 @default.
- W1979013584 cites W2079498324 @default.
- W1979013584 cites W2083517234 @default.
- W1979013584 cites W2093834886 @default.
- W1979013584 cites W2093976044 @default.
- W1979013584 cites W2094997686 @default.
- W1979013584 cites W2095444191 @default.
- W1979013584 cites W2101673195 @default.
- W1979013584 cites W2105169845 @default.
- W1979013584 cites W2110745348 @default.
- W1979013584 cites W2112384020 @default.
- W1979013584 cites W2129751220 @default.
- W1979013584 cites W2132236092 @default.
- W1979013584 cites W2160698381 @default.
- W1979013584 cites W2165168736 @default.
- W1979013584 cites W2165844313 @default.
- W1979013584 cites W2173758409 @default.
- W1979013584 cites W2418690287 @default.
- W1979013584 cites W2963350927 @default.
- W1979013584 doi "https://doi.org/10.1109/tpami.2011.233" @default.
- W1979013584 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/22144521" @default.
- W1979013584 hasPublicationYear "2012" @default.
- W1979013584 type Work @default.
- W1979013584 sameAs 1979013584 @default.
- W1979013584 citedByCount "77" @default.
- W1979013584 countsByYear W19790135842012 @default.
- W1979013584 countsByYear W19790135842013 @default.
- W1979013584 countsByYear W19790135842014 @default.
- W1979013584 countsByYear W19790135842015 @default.
- W1979013584 countsByYear W19790135842016 @default.
- W1979013584 countsByYear W19790135842017 @default.
- W1979013584 countsByYear W19790135842018 @default.
- W1979013584 countsByYear W19790135842019 @default.
- W1979013584 countsByYear W19790135842020 @default.
- W1979013584 countsByYear W19790135842021 @default.
- W1979013584 countsByYear W19790135842022 @default.
- W1979013584 countsByYear W19790135842023 @default.
- W1979013584 crossrefType "journal-article" @default.
- W1979013584 hasAuthorship W1979013584A5012138072 @default.
- W1979013584 hasAuthorship W1979013584A5016773409 @default.
- W1979013584 hasAuthorship W1979013584A5038818778 @default.
- W1979013584 hasAuthorship W1979013584A5075870288 @default.
- W1979013584 hasAuthorship W1979013584A5086786635 @default.
- W1979013584 hasConcept C112604564 @default.
- W1979013584 hasConcept C11413529 @default.
- W1979013584 hasConcept C114614502 @default.
- W1979013584 hasConcept C134306372 @default.
- W1979013584 hasConcept C161773026 @default.
- W1979013584 hasConcept C162324750 @default.
- W1979013584 hasConcept C165464430 @default.
- W1979013584 hasConcept C165818556 @default.
- W1979013584 hasConcept C176217482 @default.
- W1979013584 hasConcept C184720557 @default.
- W1979013584 hasConcept C190470478 @default.
- W1979013584 hasConcept C191948623 @default.
- W1979013584 hasConcept C199360897 @default.
- W1979013584 hasConcept C21547014 @default.
- W1979013584 hasConcept C2524010 @default.
- W1979013584 hasConcept C2776799497 @default.
- W1979013584 hasConcept C2777735758 @default.
- W1979013584 hasConcept C33923547 @default.
- W1979013584 hasConcept C37914503 @default.
- W1979013584 hasConcept C41008148 @default.
- W1979013584 hasConcept C97686452 @default.
- W1979013584 hasConceptScore W1979013584C112604564 @default.
- W1979013584 hasConceptScore W1979013584C11413529 @default.
- W1979013584 hasConceptScore W1979013584C114614502 @default.
- W1979013584 hasConceptScore W1979013584C134306372 @default.
- W1979013584 hasConceptScore W1979013584C161773026 @default.
- W1979013584 hasConceptScore W1979013584C162324750 @default.
- W1979013584 hasConceptScore W1979013584C165464430 @default.
- W1979013584 hasConceptScore W1979013584C165818556 @default.
- W1979013584 hasConceptScore W1979013584C176217482 @default.
- W1979013584 hasConceptScore W1979013584C184720557 @default.
- W1979013584 hasConceptScore W1979013584C190470478 @default.
- W1979013584 hasConceptScore W1979013584C191948623 @default.
- W1979013584 hasConceptScore W1979013584C199360897 @default.