Matches in SemOpenAlex for { <https://semopenalex.org/work/W2025201225> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2025201225 endingPage "316" @default.
- W2025201225 startingPage "294" @default.
- W2025201225 abstract "Abstract In this work, we propose a structured computational framework for modelling the envelope of the swept volume, that is the boundary of the volume obtained by sweeping an input solid along a trajectory of rigid motions. Our framework is adapted to the well-established industry-standard brep format to enable its implementation in modern CAD systems. This is achieved via a “local analysis”, which covers parametrizations and singularities, as well as a “global theory” which tackles face-boundaries, self-intersections and trim curves. Central to the local analysis is the “funnel” which serves as a natural parameter space for the basic surfaces constituting the sweep. The trimming problem is reduced to the problem of surface–surface intersections of these basic surfaces. Based on the complexity of these intersections, we introduce a novel classification of sweeps as decomposable and non-decomposable. Further, we construct an invariant function θ on the funnel which efficiently separates decomposable and non-decomposable sweeps. Through a geometric theorem we also show intimate connections between θ , local curvatures and the inverse trajectory used in earlier works as an approach towards trimming. In contrast to the inverse trajectory approach of testing points, θ is a computationally robust global function. It is the key to a complete structural understanding, and an efficient computation of both, the singular locus and the trim curves, which are central to a stable implementation. Several illustrative outputs of a pilot implementation are included." @default.
- W2025201225 created "2016-06-24" @default.
- W2025201225 creator A5019387549 @default.
- W2025201225 creator A5025486660 @default.
- W2025201225 creator A5051477034 @default.
- W2025201225 date "2014-08-01" @default.
- W2025201225 modified "2023-10-17" @default.
- W2025201225 title "Local and global analysis of parametric solid sweeps" @default.
- W2025201225 cites W2011915123 @default.
- W2025201225 cites W2023797884 @default.
- W2025201225 cites W2034789070 @default.
- W2025201225 cites W2048118873 @default.
- W2025201225 cites W2063382197 @default.
- W2025201225 cites W2073212126 @default.
- W2025201225 cites W2081200682 @default.
- W2025201225 cites W2095570239 @default.
- W2025201225 cites W2124900339 @default.
- W2025201225 cites W2158014356 @default.
- W2025201225 cites W4247833119 @default.
- W2025201225 cites W2038955431 @default.
- W2025201225 doi "https://doi.org/10.1016/j.cagd.2014.05.009" @default.
- W2025201225 hasPublicationYear "2014" @default.
- W2025201225 type Work @default.
- W2025201225 sameAs 2025201225 @default.
- W2025201225 citedByCount "11" @default.
- W2025201225 countsByYear W20252012252014 @default.
- W2025201225 countsByYear W20252012252016 @default.
- W2025201225 countsByYear W20252012252017 @default.
- W2025201225 countsByYear W20252012252018 @default.
- W2025201225 countsByYear W20252012252020 @default.
- W2025201225 countsByYear W20252012252022 @default.
- W2025201225 countsByYear W20252012252023 @default.
- W2025201225 crossrefType "journal-article" @default.
- W2025201225 hasAuthorship W2025201225A5019387549 @default.
- W2025201225 hasAuthorship W2025201225A5025486660 @default.
- W2025201225 hasAuthorship W2025201225A5051477034 @default.
- W2025201225 hasBestOaLocation W20252012252 @default.
- W2025201225 hasConcept C105795698 @default.
- W2025201225 hasConcept C11413529 @default.
- W2025201225 hasConcept C117251300 @default.
- W2025201225 hasConcept C121332964 @default.
- W2025201225 hasConcept C121864883 @default.
- W2025201225 hasConcept C2524010 @default.
- W2025201225 hasConcept C28826006 @default.
- W2025201225 hasConcept C33923547 @default.
- W2025201225 hasConceptScore W2025201225C105795698 @default.
- W2025201225 hasConceptScore W2025201225C11413529 @default.
- W2025201225 hasConceptScore W2025201225C117251300 @default.
- W2025201225 hasConceptScore W2025201225C121332964 @default.
- W2025201225 hasConceptScore W2025201225C121864883 @default.
- W2025201225 hasConceptScore W2025201225C2524010 @default.
- W2025201225 hasConceptScore W2025201225C28826006 @default.
- W2025201225 hasConceptScore W2025201225C33923547 @default.
- W2025201225 hasIssue "6" @default.
- W2025201225 hasLocation W20252012251 @default.
- W2025201225 hasLocation W20252012252 @default.
- W2025201225 hasLocation W20252012253 @default.
- W2025201225 hasOpenAccess W2025201225 @default.
- W2025201225 hasPrimaryLocation W20252012251 @default.
- W2025201225 hasRelatedWork W1987371472 @default.
- W2025201225 hasRelatedWork W1994109492 @default.
- W2025201225 hasRelatedWork W1999263788 @default.
- W2025201225 hasRelatedWork W2029881218 @default.
- W2025201225 hasRelatedWork W2037278878 @default.
- W2025201225 hasRelatedWork W2089811522 @default.
- W2025201225 hasRelatedWork W2092244978 @default.
- W2025201225 hasRelatedWork W2094362282 @default.
- W2025201225 hasRelatedWork W2351859806 @default.
- W2025201225 hasRelatedWork W4239376463 @default.
- W2025201225 hasVolume "31" @default.
- W2025201225 isParatext "false" @default.
- W2025201225 isRetracted "false" @default.
- W2025201225 magId "2025201225" @default.
- W2025201225 workType "article" @default.