Matches in SemOpenAlex for { <https://semopenalex.org/work/W2922815491> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2922815491 endingPage "15" @default.
- W2922815491 startingPage "1" @default.
- W2922815491 abstract "3D objects, modeled using Computer Aided Geometric Design (CAGD) tools, are traditionally represented using a boundary representation (B-rep), and typically use spline functions to parameterize these boundary surfaces. However, recent development in physical analysis, in isogeometric analysis (IGA) in specific, necessitates a volumetric parametrization of the interior of the object. IGA is performed directly by integrating over the spline spaces of the volumetric spline representation of the object. Typically, tensor-product B-spline trivariates are used to parameterize the volumetric domain. A general 3D object, that can be modeled in contemporary B-rep CAD tools, is typically represented using trimmed B-spline surfaces. In order to capture the generality of the contemporary B-rep modeling space, while supporting IGA needs, Massarwi and Elber (2016) proposed the use of trimmed trivariates volumetric elements. However, the use of trimmed geometry makes the integration process more difficult since integration over trimmed B-spline basis functions is a highly challenging task Xu et al. (2017). In this work, we propose an algorithm that precisely decomposes a trimmed B-spline trivariate into a set of (singular only on the boundary) tensor-product B-spline trivariates, that can be utilized to simplify the integration process, in IGA. The trimmed B-spline trivariate is first subdivided into a set of trimmed Bézier trivariates, at all its internal knots. Then, each trimmed Bézier trivariate, is decomposed into a set of mutually exclusive tensor-product B-spline trivariates, that precisely cover the entire trimmed domain. This process, denoted untrimming, can be performed in either the Euclidean space or the parametric space of the trivariate. We present examples of the algorithm on complex trimmed trivariates' based geometry, and we demonstrate the effectiveness of the method by applying IGA over the (untrimmed) results." @default.
- W2922815491 created "2019-04-01" @default.
- W2922815491 creator A5055421841 @default.
- W2922815491 creator A5058726207 @default.
- W2922815491 creator A5063458005 @default.
- W2922815491 date "2019-05-01" @default.
- W2922815491 modified "2023-10-13" @default.
- W2922815491 title "Volumetric untrimming: Precise decomposition of trimmed trivariates into tensor products" @default.
- W2922815491 cites W1924208463 @default.
- W2922815491 cites W1956938231 @default.
- W2922815491 cites W1973767041 @default.
- W2922815491 cites W2008061352 @default.
- W2922815491 cites W2013082945 @default.
- W2922815491 cites W2054892990 @default.
- W2922815491 cites W2063442090 @default.
- W2922815491 cites W2112311198 @default.
- W2922815491 cites W2144673432 @default.
- W2922815491 cites W2377174535 @default.
- W2922815491 cites W2498162759 @default.
- W2922815491 cites W2519823896 @default.
- W2922815491 cites W2590901483 @default.
- W2922815491 cites W2621368410 @default.
- W2922815491 cites W2746325714 @default.
- W2922815491 cites W4246516570 @default.
- W2922815491 cites W986388943 @default.
- W2922815491 doi "https://doi.org/10.1016/j.cagd.2019.04.005" @default.
- W2922815491 hasPublicationYear "2019" @default.
- W2922815491 type Work @default.
- W2922815491 sameAs 2922815491 @default.
- W2922815491 citedByCount "28" @default.
- W2922815491 countsByYear W29228154912019 @default.
- W2922815491 countsByYear W29228154912020 @default.
- W2922815491 countsByYear W29228154912021 @default.
- W2922815491 countsByYear W29228154912022 @default.
- W2922815491 countsByYear W29228154912023 @default.
- W2922815491 crossrefType "journal-article" @default.
- W2922815491 hasAuthorship W2922815491A5055421841 @default.
- W2922815491 hasAuthorship W2922815491A5058726207 @default.
- W2922815491 hasAuthorship W2922815491A5063458005 @default.
- W2922815491 hasBestOaLocation W29228154911 @default.
- W2922815491 hasConcept C10390562 @default.
- W2922815491 hasConcept C117258860 @default.
- W2922815491 hasConcept C121332964 @default.
- W2922815491 hasConcept C127413603 @default.
- W2922815491 hasConcept C134306372 @default.
- W2922815491 hasConcept C135628077 @default.
- W2922815491 hasConcept C15945459 @default.
- W2922815491 hasConcept C202444582 @default.
- W2922815491 hasConcept C2780737243 @default.
- W2922815491 hasConcept C33923547 @default.
- W2922815491 hasConcept C51255310 @default.
- W2922815491 hasConcept C62354387 @default.
- W2922815491 hasConcept C66938386 @default.
- W2922815491 hasConcept C97355855 @default.
- W2922815491 hasConceptScore W2922815491C10390562 @default.
- W2922815491 hasConceptScore W2922815491C117258860 @default.
- W2922815491 hasConceptScore W2922815491C121332964 @default.
- W2922815491 hasConceptScore W2922815491C127413603 @default.
- W2922815491 hasConceptScore W2922815491C134306372 @default.
- W2922815491 hasConceptScore W2922815491C135628077 @default.
- W2922815491 hasConceptScore W2922815491C15945459 @default.
- W2922815491 hasConceptScore W2922815491C202444582 @default.
- W2922815491 hasConceptScore W2922815491C2780737243 @default.
- W2922815491 hasConceptScore W2922815491C33923547 @default.
- W2922815491 hasConceptScore W2922815491C51255310 @default.
- W2922815491 hasConceptScore W2922815491C62354387 @default.
- W2922815491 hasConceptScore W2922815491C66938386 @default.
- W2922815491 hasConceptScore W2922815491C97355855 @default.
- W2922815491 hasFunder F4320322252 @default.
- W2922815491 hasFunder F4320332180 @default.
- W2922815491 hasFunder F4320334678 @default.
- W2922815491 hasLocation W29228154911 @default.
- W2922815491 hasLocation W29228154912 @default.
- W2922815491 hasOpenAccess W2922815491 @default.
- W2922815491 hasPrimaryLocation W29228154911 @default.
- W2922815491 hasRelatedWork W1970856710 @default.
- W2922815491 hasRelatedWork W1983561394 @default.
- W2922815491 hasRelatedWork W3119645684 @default.
- W2922815491 hasRelatedWork W3160600162 @default.
- W2922815491 hasRelatedWork W3166162663 @default.
- W2922815491 hasRelatedWork W4210912346 @default.
- W2922815491 hasRelatedWork W4287394861 @default.
- W2922815491 hasRelatedWork W4290629881 @default.
- W2922815491 hasRelatedWork W4384305806 @default.
- W2922815491 hasRelatedWork W1990397844 @default.
- W2922815491 hasVolume "71" @default.
- W2922815491 isParatext "false" @default.
- W2922815491 isRetracted "false" @default.
- W2922815491 magId "2922815491" @default.
- W2922815491 workType "article" @default.