Matches in SemOpenAlex for { <https://semopenalex.org/work/W2256010282> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W2256010282 endingPage "9" @default.
- W2256010282 startingPage "1" @default.
- W2256010282 abstract "A class of cubic trigonometric nonuniform spline basis functions with a local shape parameter is constructed. Their totally positive property is proved. The associated spline curves inherit most properties of usual polynomial<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>B</mml:mi></mml:mrow></mml:math>-spline curves and enjoy some other advantageous properties for engineering design. They have<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>continuity at single knots. For equidistant knots, they have<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>continuity and<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn mathvariant=normal>5</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>continuity for particular choice of shape parameter. They can express freeform curves as well as ellipses. The associated spline surfaces can exactly represent the surfaces of revolution. Thus the curve and surface representation scheme unifies the representation of freeform shape and some analytical shapes, which is popular in engineering." @default.
- W2256010282 created "2016-06-24" @default.
- W2256010282 creator A5058865875 @default.
- W2256010282 date "2016-01-01" @default.
- W2256010282 modified "2023-09-24" @default.
- W2256010282 title "Cubic Trigonometric Nonuniform Spline Curves and Surfaces" @default.
- W2256010282 cites W1983326301 @default.
- W2256010282 cites W1991865103 @default.
- W2256010282 cites W2004003062 @default.
- W2256010282 cites W2022179648 @default.
- W2256010282 cites W2026122851 @default.
- W2256010282 cites W2033137207 @default.
- W2256010282 cites W2035017192 @default.
- W2256010282 cites W2050962859 @default.
- W2256010282 cites W2060076763 @default.
- W2256010282 cites W2064919126 @default.
- W2256010282 cites W2079058344 @default.
- W2256010282 cites W2079184891 @default.
- W2256010282 cites W2092591873 @default.
- W2256010282 cites W2131903073 @default.
- W2256010282 cites W2152070617 @default.
- W2256010282 cites W2165539563 @default.
- W2256010282 cites W2246261575 @default.
- W2256010282 cites W2384122227 @default.
- W2256010282 cites W620013932 @default.
- W2256010282 doi "https://doi.org/10.1155/2016/7067408" @default.
- W2256010282 hasPublicationYear "2016" @default.
- W2256010282 type Work @default.
- W2256010282 sameAs 2256010282 @default.
- W2256010282 citedByCount "14" @default.
- W2256010282 countsByYear W22560102822016 @default.
- W2256010282 countsByYear W22560102822018 @default.
- W2256010282 countsByYear W22560102822019 @default.
- W2256010282 countsByYear W22560102822020 @default.
- W2256010282 countsByYear W22560102822021 @default.
- W2256010282 countsByYear W22560102822022 @default.
- W2256010282 countsByYear W22560102822023 @default.
- W2256010282 crossrefType "journal-article" @default.
- W2256010282 hasAuthorship W2256010282A5058865875 @default.
- W2256010282 hasBestOaLocation W22560102821 @default.
- W2256010282 hasConcept C11413529 @default.
- W2256010282 hasConcept C154945302 @default.
- W2256010282 hasConcept C41008148 @default.
- W2256010282 hasConceptScore W2256010282C11413529 @default.
- W2256010282 hasConceptScore W2256010282C154945302 @default.
- W2256010282 hasConceptScore W2256010282C41008148 @default.
- W2256010282 hasFunder F4320321001 @default.
- W2256010282 hasLocation W22560102821 @default.
- W2256010282 hasLocation W22560102822 @default.
- W2256010282 hasOpenAccess W2256010282 @default.
- W2256010282 hasPrimaryLocation W22560102821 @default.
- W2256010282 hasRelatedWork W2051487156 @default.
- W2256010282 hasRelatedWork W2073681303 @default.
- W2256010282 hasRelatedWork W2351491280 @default.
- W2256010282 hasRelatedWork W2371447506 @default.
- W2256010282 hasRelatedWork W2386767533 @default.
- W2256010282 hasRelatedWork W2390279801 @default.
- W2256010282 hasRelatedWork W2748952813 @default.
- W2256010282 hasRelatedWork W2899084033 @default.
- W2256010282 hasRelatedWork W303980170 @default.
- W2256010282 hasRelatedWork W4225307033 @default.
- W2256010282 hasVolume "2016" @default.
- W2256010282 isParatext "false" @default.
- W2256010282 isRetracted "false" @default.
- W2256010282 magId "2256010282" @default.
- W2256010282 workType "article" @default.