Matches in SemOpenAlex for { <https://semopenalex.org/work/W4301355539> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W4301355539 abstract "Given interpolation points $P_1,P_2,ldots,P_n$ 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 than an interpolating curve is {it admissable} if each piece, connecting two consecutive points $P_i$ and $P_{i+1}$, is an s-curve, where an {it s-curve} is a planar curve which first turns at most $180^circ$ in one direction and then turns at most $180^circ$ in the opposite direction. Our main result is that among all admissable 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, which connects two given unit tangent vectors." @default.
- W4301355539 created "2022-10-05" @default.
- W4301355539 creator A5014152060 @default.
- W4301355539 creator A5034291784 @default.
- W4301355539 date "2013-02-21" @default.
- W4301355539 modified "2023-09-26" @default.
- W4301355539 title "Elastic Splines I: Existence" @default.
- W4301355539 doi "https://doi.org/10.48550/arxiv.1302.5248" @default.
- W4301355539 hasPublicationYear "2013" @default.
- W4301355539 type Work @default.
- W4301355539 citedByCount "0" @default.
- W4301355539 crossrefType "posted-content" @default.
- W4301355539 hasAuthorship W4301355539A5014152060 @default.
- W4301355539 hasAuthorship W4301355539A5034291784 @default.
- W4301355539 hasBestOaLocation W43013555391 @default.
- W4301355539 hasConcept C104114177 @default.
- W4301355539 hasConcept C105795698 @default.
- W4301355539 hasConcept C114614502 @default.
- W4301355539 hasConcept C121332964 @default.
- W4301355539 hasConcept C121684516 @default.
- W4301355539 hasConcept C134306372 @default.
- W4301355539 hasConcept C134786449 @default.
- W4301355539 hasConcept C137800194 @default.
- W4301355539 hasConcept C138187205 @default.
- W4301355539 hasConcept C17825722 @default.
- W4301355539 hasConcept C186370098 @default.
- W4301355539 hasConcept C198352243 @default.
- W4301355539 hasConcept C2524010 @default.
- W4301355539 hasConcept C33923547 @default.
- W4301355539 hasConcept C41008148 @default.
- W4301355539 hasConcept C43809302 @default.
- W4301355539 hasConcept C70251129 @default.
- W4301355539 hasConcept C74650414 @default.
- W4301355539 hasConcept C87210426 @default.
- W4301355539 hasConcept C97355855 @default.
- W4301355539 hasConceptScore W4301355539C104114177 @default.
- W4301355539 hasConceptScore W4301355539C105795698 @default.
- W4301355539 hasConceptScore W4301355539C114614502 @default.
- W4301355539 hasConceptScore W4301355539C121332964 @default.
- W4301355539 hasConceptScore W4301355539C121684516 @default.
- W4301355539 hasConceptScore W4301355539C134306372 @default.
- W4301355539 hasConceptScore W4301355539C134786449 @default.
- W4301355539 hasConceptScore W4301355539C137800194 @default.
- W4301355539 hasConceptScore W4301355539C138187205 @default.
- W4301355539 hasConceptScore W4301355539C17825722 @default.
- W4301355539 hasConceptScore W4301355539C186370098 @default.
- W4301355539 hasConceptScore W4301355539C198352243 @default.
- W4301355539 hasConceptScore W4301355539C2524010 @default.
- W4301355539 hasConceptScore W4301355539C33923547 @default.
- W4301355539 hasConceptScore W4301355539C41008148 @default.
- W4301355539 hasConceptScore W4301355539C43809302 @default.
- W4301355539 hasConceptScore W4301355539C70251129 @default.
- W4301355539 hasConceptScore W4301355539C74650414 @default.
- W4301355539 hasConceptScore W4301355539C87210426 @default.
- W4301355539 hasConceptScore W4301355539C97355855 @default.
- W4301355539 hasLocation W43013555391 @default.
- W4301355539 hasLocation W43013555392 @default.
- W4301355539 hasLocation W43013555393 @default.
- W4301355539 hasOpenAccess W4301355539 @default.
- W4301355539 hasPrimaryLocation W43013555391 @default.
- W4301355539 hasRelatedWork W1535372252 @default.
- W4301355539 hasRelatedWork W1820537784 @default.
- W4301355539 hasRelatedWork W2029595315 @default.
- W4301355539 hasRelatedWork W2050095351 @default.
- W4301355539 hasRelatedWork W2057471474 @default.
- W4301355539 hasRelatedWork W2186170414 @default.
- W4301355539 hasRelatedWork W2359442960 @default.
- W4301355539 hasRelatedWork W2369480036 @default.
- W4301355539 hasRelatedWork W3104563367 @default.
- W4301355539 hasRelatedWork W4221149983 @default.
- W4301355539 isParatext "false" @default.
- W4301355539 isRetracted "false" @default.
- W4301355539 workType "article" @default.