Matches in SemOpenAlex for { <https://semopenalex.org/work/W1973090420> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W1973090420 endingPage "218" @default.
- W1973090420 startingPage "189" @default.
- W1973090420 abstract "Given interpolation points $$P_1,P_2,ldots ,P_m$$ in the plane, it is known that there does not exist an interpolating curve with minimal bending energy unless the given points lie sequentially along a line. We say that an interpolating curve is admissible if each piece, connecting two consecutive points $$P_i$$ and $$P_{i+1}$$ , is an s-curve, where an s-curve is a planar curve which first turns monotonically at most $$180^circ $$ in one direction and then turns monotonically at most $$180^circ $$ in the opposite direction. Our main result is that among all admissible interpolating curves there exists a curve with minimal bending energy. We also prove, in a very constructive manner, the existence of an s-curve, with minimal bending energy, that connects two given unit tangent vectors." @default.
- W1973090420 created "2016-06-24" @default.
- W1973090420 creator A5014152060 @default.
- W1973090420 creator A5034291784 @default.
- W1973090420 date "2014-07-19" @default.
- W1973090420 modified "2023-10-14" @default.
- W1973090420 title "Elastic Splines I: Existence" @default.
- W1973090420 cites W2000074862 @default.
- W1973090420 cites W2036408755 @default.
- W1973090420 cites W2044307345 @default.
- W1973090420 cites W2118527259 @default.
- W1973090420 cites W2501605117 @default.
- W1973090420 doi "https://doi.org/10.1007/s00365-014-9244-4" @default.
- W1973090420 hasPublicationYear "2014" @default.
- W1973090420 type Work @default.
- W1973090420 sameAs 1973090420 @default.
- W1973090420 citedByCount "7" @default.
- W1973090420 countsByYear W19730904202016 @default.
- W1973090420 countsByYear W19730904202017 @default.
- W1973090420 countsByYear W19730904202018 @default.
- W1973090420 countsByYear W19730904202020 @default.
- W1973090420 countsByYear W19730904202022 @default.
- W1973090420 crossrefType "journal-article" @default.
- W1973090420 hasAuthorship W1973090420A5014152060 @default.
- W1973090420 hasAuthorship W1973090420A5034291784 @default.
- W1973090420 hasBestOaLocation W19730904202 @default.
- W1973090420 hasConcept C104114177 @default.
- W1973090420 hasConcept C114614502 @default.
- W1973090420 hasConcept C121332964 @default.
- W1973090420 hasConcept C121684516 @default.
- W1973090420 hasConcept C134306372 @default.
- W1973090420 hasConcept C134786449 @default.
- W1973090420 hasConcept C137800194 @default.
- W1973090420 hasConcept C138187205 @default.
- W1973090420 hasConcept C198352243 @default.
- W1973090420 hasConcept C2524010 @default.
- W1973090420 hasConcept C33923547 @default.
- W1973090420 hasConcept C41008148 @default.
- W1973090420 hasConcept C43809302 @default.
- W1973090420 hasConcept C70251129 @default.
- W1973090420 hasConcept C72169020 @default.
- W1973090420 hasConcept C74650414 @default.
- W1973090420 hasConcept C87210426 @default.
- W1973090420 hasConcept C97355855 @default.
- W1973090420 hasConceptScore W1973090420C104114177 @default.
- W1973090420 hasConceptScore W1973090420C114614502 @default.
- W1973090420 hasConceptScore W1973090420C121332964 @default.
- W1973090420 hasConceptScore W1973090420C121684516 @default.
- W1973090420 hasConceptScore W1973090420C134306372 @default.
- W1973090420 hasConceptScore W1973090420C134786449 @default.
- W1973090420 hasConceptScore W1973090420C137800194 @default.
- W1973090420 hasConceptScore W1973090420C138187205 @default.
- W1973090420 hasConceptScore W1973090420C198352243 @default.
- W1973090420 hasConceptScore W1973090420C2524010 @default.
- W1973090420 hasConceptScore W1973090420C33923547 @default.
- W1973090420 hasConceptScore W1973090420C41008148 @default.
- W1973090420 hasConceptScore W1973090420C43809302 @default.
- W1973090420 hasConceptScore W1973090420C70251129 @default.
- W1973090420 hasConceptScore W1973090420C72169020 @default.
- W1973090420 hasConceptScore W1973090420C74650414 @default.
- W1973090420 hasConceptScore W1973090420C87210426 @default.
- W1973090420 hasConceptScore W1973090420C97355855 @default.
- W1973090420 hasIssue "2" @default.
- W1973090420 hasLocation W19730904201 @default.
- W1973090420 hasLocation W19730904202 @default.
- W1973090420 hasLocation W19730904203 @default.
- W1973090420 hasLocation W19730904204 @default.
- W1973090420 hasOpenAccess W1973090420 @default.
- W1973090420 hasPrimaryLocation W19730904201 @default.
- W1973090420 hasRelatedWork W1503519672 @default.
- W1973090420 hasRelatedWork W1982077613 @default.
- W1973090420 hasRelatedWork W2075283588 @default.
- W1973090420 hasRelatedWork W2360560141 @default.
- W1973090420 hasRelatedWork W2379981527 @default.
- W1973090420 hasRelatedWork W2613171101 @default.
- W1973090420 hasRelatedWork W3110746766 @default.
- W1973090420 hasRelatedWork W4221149983 @default.
- W1973090420 hasRelatedWork W4224927731 @default.
- W1973090420 hasRelatedWork W576462759 @default.
- W1973090420 hasVolume "40" @default.
- W1973090420 isParatext "false" @default.
- W1973090420 isRetracted "false" @default.
- W1973090420 magId "1973090420" @default.
- W1973090420 workType "article" @default.