FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2106756659> ?p ?o ?g. }

• W2106756659 endingPage "289" @default.
• W2106756659 startingPage "255" @default.
• W2106756659 abstract "3D acquisition devices acquire object surfaces with growing accuracy by obtaining 3D point samples of the surface. This sampling depends on the geometry of the device and of the scanned object and is therefore very irregular. Many numerical schemes have been proposed for applying PDEs to regularly meshed 3D data. Nevertheless, for high precision applications it remains necessary to compute differential operators on raw point clouds prior to any meshing. Indeed differential operators such as the mean curvature or the principal curvatures provide crucial information for the orientation and meshing process itself. This paper reviews a half dozen local schemes which have been proposed to compute discrete curvature-like shape indicators on raw point clouds. All of them will be analyzed mathematically in a unified framework by computing their asymptotic form when the size of the neighborhood tends to zero. They are given in terms of the principal curvatures or of higher order intrinsic differential operators which, in return, characterize the discrete operators. All considered local schemes are of two kinds: either they perform a polynomial local regression, or they compute directly local moments. But the polynomial regression of order 1 is demonstrated to play a special role, because its iterations yield a scale space. This analysis is completed with numerical experiments comparing the accuracies of these schemes. We demonstrate that this accuracy is enhanced for all operators by applying previously the scale space." @default.
• W2106756659 created "2016-06-24" @default.
• W2106756659 creator A5003311308 @default.
• W2106756659 creator A5057798674 @default.
• W2106756659 date "2013-10-08" @default.
• W2106756659 modified "2023-09-26" @default.
• W2106756659 title "Numerical analysis of differential operators on raw point clouds" @default.
• W2106756659 cites W1626653188 @default.
• W2106756659 cites W1977758817 @default.
• W2106756659 cites W1988744163 @default.
• W2106756659 cites W2000214666 @default.
• W2106756659 cites W2006213557 @default.
• W2106756659 cites W2009422376 @default.
• W2106756659 cites W2012876210 @default.
• W2106756659 cites W2023661891 @default.
• W2106756659 cites W2024221621 @default.
• W2106756659 cites W2031091629 @default.
• W2106756659 cites W2038430217 @default.
• W2106756659 cites W2043111349 @default.
• W2106756659 cites W2045741396 @default.
• W2106756659 cites W2058524213 @default.
• W2106756659 cites W2079017595 @default.
• W2106756659 cites W2080626592 @default.
• W2106756659 cites W2093027094 @default.
• W2106756659 cites W2100196192 @default.
• W2106756659 cites W2100816864 @default.
• W2106756659 cites W2118562226 @default.
• W2106756659 cites W2129291676 @default.
• W2106756659 cites W2133543922 @default.
• W2106756659 cites W2137374159 @default.
• W2106756659 cites W2140526520 @default.
• W2106756659 cites W2165904679 @default.
• W2106756659 cites W2229412420 @default.
• W2106756659 cites W3137369665 @default.
• W2106756659 cites W4235974481 @default.
• W2106756659 cites W4247124261 @default.
• W2106756659 doi "https://doi.org/10.1007/s00211-013-0584-y" @default.
• W2106756659 hasPublicationYear "2013" @default.
• W2106756659 type Work @default.
• W2106756659 sameAs 2106756659 @default.
• W2106756659 citedByCount "10" @default.
• W2106756659 countsByYear W21067566592015 @default.
• W2106756659 countsByYear W21067566592016 @default.
• W2106756659 countsByYear W21067566592017 @default.
• W2106756659 countsByYear W21067566592018 @default.
• W2106756659 countsByYear W21067566592019 @default.
• W2106756659 countsByYear W21067566592021 @default.
• W2106756659 countsByYear W21067566592022 @default.
• W2106756659 countsByYear W21067566592023 @default.
• W2106756659 crossrefType "journal-article" @default.
• W2106756659 hasAuthorship W2106756659A5003311308 @default.
• W2106756659 hasAuthorship W2106756659A5057798674 @default.
• W2106756659 hasBestOaLocation W21067566592 @default.
• W2106756659 hasConcept C11413529 @default.
• W2106756659 hasConcept C121332964 @default.
• W2106756659 hasConcept C127413603 @default.
• W2106756659 hasConcept C131979681 @default.
• W2106756659 hasConcept C134306372 @default.
• W2106756659 hasConcept C146978453 @default.
• W2106756659 hasConcept C154945302 @default.
• W2106756659 hasConcept C195065555 @default.
• W2106756659 hasConcept C2524010 @default.
• W2106756659 hasConcept C2778755073 @default.
• W2106756659 hasConcept C28826006 @default.
• W2106756659 hasConcept C33923547 @default.
• W2106756659 hasConcept C41008148 @default.
• W2106756659 hasConcept C62520636 @default.
• W2106756659 hasConcept C70915906 @default.
• W2106756659 hasConcept C90119067 @default.
• W2106756659 hasConcept C93226319 @default.
• W2106756659 hasConceptScore W2106756659C11413529 @default.
• W2106756659 hasConceptScore W2106756659C121332964 @default.
• W2106756659 hasConceptScore W2106756659C127413603 @default.
• W2106756659 hasConceptScore W2106756659C131979681 @default.
• W2106756659 hasConceptScore W2106756659C134306372 @default.
• W2106756659 hasConceptScore W2106756659C146978453 @default.
• W2106756659 hasConceptScore W2106756659C154945302 @default.
• W2106756659 hasConceptScore W2106756659C195065555 @default.
• W2106756659 hasConceptScore W2106756659C2524010 @default.
• W2106756659 hasConceptScore W2106756659C2778755073 @default.
• W2106756659 hasConceptScore W2106756659C28826006 @default.
• W2106756659 hasConceptScore W2106756659C33923547 @default.
• W2106756659 hasConceptScore W2106756659C41008148 @default.
• W2106756659 hasConceptScore W2106756659C62520636 @default.
• W2106756659 hasConceptScore W2106756659C70915906 @default.
• W2106756659 hasConceptScore W2106756659C90119067 @default.
• W2106756659 hasConceptScore W2106756659C93226319 @default.
• W2106756659 hasIssue "2" @default.
• W2106756659 hasLocation W21067566591 @default.
• W2106756659 hasLocation W21067566592 @default.
• W2106756659 hasLocation W21067566593 @default.
• W2106756659 hasLocation W21067566594 @default.
• W2106756659 hasOpenAccess W2106756659 @default.
• W2106756659 hasPrimaryLocation W21067566591 @default.
• W2106756659 hasRelatedWork W1533216337 @default.
• W2106756659 hasRelatedWork W2014885590 @default.
• W2106756659 hasRelatedWork W2065248282 @default.
• W2106756659 hasRelatedWork W2116875878 @default.

• next