Matches in SemOpenAlex for { <https://semopenalex.org/work/W4232252552> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W4232252552 endingPage "64" @default.
- W4232252552 startingPage "55" @default.
- W4232252552 abstract "Abstract A tangent vector field on a surface is the generator of a smooth family of maps from the surface to itself, known as the flow . Given a scalar function on the surface, it can be transported, or advected , by composing it with a vector field's flow. Such transport is exhibited by many physical phenomena, e.g., in fluid dynamics. In this paper, we are interested in the inverse problem: given source and target functions, compute a vector field whose flow advects the source to the target. We propose a method for addressing this problem, by minimizing an energy given by the advection constraint together with a regularizing term for the vector field. Our approach is inspired by a similar method in computational anatomy, known as LDDMM, yet leverages the recent framework of functional vector fields for discretizing the advection and the flow as operators on scalar functions. The latter allows us to efficiently generalize LDDMM to curved surfaces, without explicitly computing the flow lines of the vector field we are optimizing for. We show two approaches for the solution: using linear advection with multiple vector fields, and using non‐linear advection with a single vector field. We additionally derive an approximated gradient of the corresponding energy, which is based on a novel vector field transport operator. Finally, we demonstrate applications of our machinery to intrinsic symmetry analysis, function interpolation and map improvement." @default.
- W4232252552 created "2022-05-12" @default.
- W4232252552 creator A5010203098 @default.
- W4232252552 creator A5075998792 @default.
- W4232252552 creator A5085454645 @default.
- W4232252552 date "2016-08-01" @default.
- W4232252552 modified "2023-10-05" @default.
- W4232252552 title "Advection-Based Function Matching on Surfaces" @default.
- W4232252552 cites W1585160083 @default.
- W4232252552 cites W1798731418 @default.
- W4232252552 cites W1985506636 @default.
- W4232252552 cites W1993490182 @default.
- W4232252552 cites W2009172320 @default.
- W4232252552 cites W2028212620 @default.
- W4232252552 cites W2047161559 @default.
- W4232252552 cites W2063291805 @default.
- W4232252552 cites W2095708661 @default.
- W4232252552 cites W2115167851 @default.
- W4232252552 cites W2127358482 @default.
- W4232252552 cites W2128348898 @default.
- W4232252552 cites W2155302366 @default.
- W4232252552 cites W2164260102 @default.
- W4232252552 cites W2170167891 @default.
- W4232252552 cites W368385912 @default.
- W4232252552 cites W4243055393 @default.
- W4232252552 cites W939158666 @default.
- W4232252552 doi "https://doi.org/10.1111/cgf.12963" @default.
- W4232252552 hasPublicationYear "2016" @default.
- W4232252552 type Work @default.
- W4232252552 citedByCount "9" @default.
- W4232252552 countsByYear W42322525522016 @default.
- W4232252552 countsByYear W42322525522017 @default.
- W4232252552 countsByYear W42322525522018 @default.
- W4232252552 countsByYear W42322525522019 @default.
- W4232252552 countsByYear W42322525522022 @default.
- W4232252552 crossrefType "journal-article" @default.
- W4232252552 hasAuthorship W4232252552A5010203098 @default.
- W4232252552 hasAuthorship W4232252552A5075998792 @default.
- W4232252552 hasAuthorship W4232252552A5085454645 @default.
- W4232252552 hasConcept C110521144 @default.
- W4232252552 hasConcept C11413529 @default.
- W4232252552 hasConcept C121332964 @default.
- W4232252552 hasConcept C134306372 @default.
- W4232252552 hasConcept C147663694 @default.
- W4232252552 hasConcept C199360897 @default.
- W4232252552 hasConcept C2524010 @default.
- W4232252552 hasConcept C33923547 @default.
- W4232252552 hasConcept C37914503 @default.
- W4232252552 hasConcept C41008148 @default.
- W4232252552 hasConcept C5072599 @default.
- W4232252552 hasConcept C57691317 @default.
- W4232252552 hasConcept C73000952 @default.
- W4232252552 hasConcept C91188154 @default.
- W4232252552 hasConcept C97355855 @default.
- W4232252552 hasConceptScore W4232252552C110521144 @default.
- W4232252552 hasConceptScore W4232252552C11413529 @default.
- W4232252552 hasConceptScore W4232252552C121332964 @default.
- W4232252552 hasConceptScore W4232252552C134306372 @default.
- W4232252552 hasConceptScore W4232252552C147663694 @default.
- W4232252552 hasConceptScore W4232252552C199360897 @default.
- W4232252552 hasConceptScore W4232252552C2524010 @default.
- W4232252552 hasConceptScore W4232252552C33923547 @default.
- W4232252552 hasConceptScore W4232252552C37914503 @default.
- W4232252552 hasConceptScore W4232252552C41008148 @default.
- W4232252552 hasConceptScore W4232252552C5072599 @default.
- W4232252552 hasConceptScore W4232252552C57691317 @default.
- W4232252552 hasConceptScore W4232252552C73000952 @default.
- W4232252552 hasConceptScore W4232252552C91188154 @default.
- W4232252552 hasConceptScore W4232252552C97355855 @default.
- W4232252552 hasIssue "5" @default.
- W4232252552 hasLocation W42322525521 @default.
- W4232252552 hasOpenAccess W4232252552 @default.
- W4232252552 hasPrimaryLocation W42322525521 @default.
- W4232252552 hasRelatedWork W12418897 @default.
- W4232252552 hasRelatedWork W1795928629 @default.
- W4232252552 hasRelatedWork W2153957082 @default.
- W4232252552 hasRelatedWork W2246167475 @default.
- W4232252552 hasRelatedWork W2954193812 @default.
- W4232252552 hasRelatedWork W3134921658 @default.
- W4232252552 hasRelatedWork W3168011518 @default.
- W4232252552 hasRelatedWork W4323274447 @default.
- W4232252552 hasRelatedWork W4366307899 @default.
- W4232252552 hasRelatedWork W4386771804 @default.
- W4232252552 hasVolume "35" @default.
- W4232252552 isParatext "false" @default.
- W4232252552 isRetracted "false" @default.
- W4232252552 workType "article" @default.