FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2012141137> ?p ?o ?g. }

• W2012141137 endingPage "24" @default.
• W2012141137 startingPage "13" @default.
• W2012141137 abstract "Abstract Geometry processing has made ample use of discrete representations of tangent vector fields and antisymmetric tensors (i.e., forms) on triangulations. Symmetric 2‐tensors, while crucial in the definition of inner products and elliptic operators, have received only limited attention. They are often discretized by first defining a coordinate system per vertex, edge or face, then storing their components in this frame field. In this paper, we introduce a representation of arbitrary 2‐tensor fields on triangle meshes. We leverage a coordinate‐free decomposition of continuous 2‐tensors in the plane to construct a finite‐dimensional encoding of tensor fields through scalar values on oriented simplices of a manifold triangulation. We also provide closed‐form expressions of pairing, inner product, and trace for this discrete representation of tensor fields, and formulate a discrete covariant derivative and a discrete Lie bracket. Our approach extends discrete/finite‐element exterior calculus, recovers familiar operators such as the weighted Laplacian operator, and defines discrete notions of divergence‐free, curl‐free, and traceless tensors–thus offering a numerical framework for discrete tensor calculus on triangulations. We finally demonstrate the robustness and accuracy of our operators on analytical examples, before applying them to the computation of anisotropic geodesic distances on discrete surfaces." @default.
• W2012141137 created "2016-06-24" @default.
• W2012141137 creator A5011791524 @default.
• W2012141137 creator A5011859684 @default.
• W2012141137 creator A5022153785 @default.
• W2012141137 creator A5031301096 @default.
• W2012141137 creator A5042762771 @default.
• W2012141137 date "2014-08-01" @default.
• W2012141137 modified "2023-10-18" @default.
• W2012141137 title "Discrete 2-Tensor Fields on Triangulations" @default.
• W2012141137 cites W1522382323 @default.
• W2012141137 cites W1522589176 @default.
• W2012141137 cites W1558378494 @default.
• W2012141137 cites W1974956622 @default.
• W2012141137 cites W1975069663 @default.
• W2012141137 cites W1977101402 @default.
• W2012141137 cites W1990120195 @default.
• W2012141137 cites W2000922989 @default.
• W2012141137 cites W2004810810 @default.
• W2012141137 cites W2010030640 @default.
• W2012141137 cites W2010328065 @default.
• W2012141137 cites W2014744421 @default.
• W2012141137 cites W2018964608 @default.
• W2012141137 cites W2029339103 @default.
• W2012141137 cites W2054607036 @default.
• W2012141137 cites W2083561088 @default.
• W2012141137 cites W2086210210 @default.
• W2012141137 cites W2087383360 @default.
• W2012141137 cites W2093027094 @default.
• W2012141137 cites W2093544140 @default.
• W2012141137 cites W2093969996 @default.
• W2012141137 cites W2095708661 @default.
• W2012141137 cites W2099945117 @default.
• W2012141137 cites W2115590040 @default.
• W2012141137 cites W2125105302 @default.
• W2012141137 cites W2129564950 @default.
• W2012141137 cites W2130711900 @default.
• W2012141137 cites W2138486270 @default.
• W2012141137 cites W2141094169 @default.
• W2012141137 cites W2144295141 @default.
• W2012141137 cites W2146308848 @default.
• W2012141137 cites W2147905049 @default.
• W2012141137 cites W2150134853 @default.
• W2012141137 cites W2151997105 @default.
• W2012141137 cites W2156629649 @default.
• W2012141137 cites W2240591219 @default.
• W2012141137 cites W2912720455 @default.
• W2012141137 cites W3004175625 @default.
• W2012141137 cites W3125178117 @default.
• W2012141137 cites W3139268773 @default.
• W2012141137 cites W4205424143 @default.
• W2012141137 cites W4239465939 @default.
• W2012141137 cites W4255193216 @default.
• W2012141137 cites W572198187 @default.
• W2012141137 cites W8289804 @default.
• W2012141137 doi "https://doi.org/10.1111/cgf.12427" @default.
• W2012141137 hasPublicationYear "2014" @default.
• W2012141137 type Work @default.
• W2012141137 sameAs 2012141137 @default.
• W2012141137 citedByCount "25" @default.
• W2012141137 countsByYear W20121411372014 @default.
• W2012141137 countsByYear W20121411372015 @default.
• W2012141137 countsByYear W20121411372016 @default.
• W2012141137 countsByYear W20121411372017 @default.
• W2012141137 countsByYear W20121411372018 @default.
• W2012141137 countsByYear W20121411372019 @default.
• W2012141137 countsByYear W20121411372020 @default.
• W2012141137 countsByYear W20121411372021 @default.
• W2012141137 countsByYear W20121411372022 @default.
• W2012141137 crossrefType "journal-article" @default.
• W2012141137 hasAuthorship W2012141137A5011791524 @default.
• W2012141137 hasAuthorship W2012141137A5011859684 @default.
• W2012141137 hasAuthorship W2012141137A5022153785 @default.
• W2012141137 hasAuthorship W2012141137A5031301096 @default.
• W2012141137 hasAuthorship W2012141137A5042762771 @default.
• W2012141137 hasBestOaLocation W20121411371 @default.
• W2012141137 hasConcept C124007464 @default.
• W2012141137 hasConcept C134306372 @default.
• W2012141137 hasConcept C136119220 @default.
• W2012141137 hasConcept C148125525 @default.
• W2012141137 hasConcept C165818556 @default.
• W2012141137 hasConcept C166077713 @default.
• W2012141137 hasConcept C19492387 @default.
• W2012141137 hasConcept C20178491 @default.
• W2012141137 hasConcept C202444582 @default.
• W2012141137 hasConcept C2524010 @default.
• W2012141137 hasConcept C33923547 @default.
• W2012141137 hasConcept C51255310 @default.
• W2012141137 hasConcept C520416788 @default.
• W2012141137 hasConcept C64835786 @default.
• W2012141137 hasConcept C91188154 @default.
• W2012141137 hasConceptScore W2012141137C124007464 @default.
• W2012141137 hasConceptScore W2012141137C134306372 @default.
• W2012141137 hasConceptScore W2012141137C136119220 @default.
• W2012141137 hasConceptScore W2012141137C148125525 @default.
• W2012141137 hasConceptScore W2012141137C165818556 @default.
• W2012141137 hasConceptScore W2012141137C166077713 @default.
• W2012141137 hasConceptScore W2012141137C19492387 @default.

• next