{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1390282680248062336.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.1299/jamdsm.2018jamdsm0029"}},{"identifier":{"@type":"URI","@value":"https://www.jstage.jst.go.jp/article/jamdsm/12/1/12_2018jamdsm0029/_pdf"}},{"identifier":{"@type":"NAID","@value":"130006517373"}}],"dc:title":[{"@language":"en","@value":"Planar T-Bézier curve with approximate minimum curvature variation"}],"dc:language":"en","description":[{"type":"abstract","notation":[{"@language":"en","@value":"<p>Since the two free parameters have significant effect on the shape of the T-Bézier curve, a natural idea arises to find the optimal values of the two free parameters for obtaining the fairest curves. In this paper, we use approximate curvature variation minimization to obtain the optimal values of the two free parameters. By minimizing an appropriate approximate function, the unique solution can be easily obtained. We outline some examples to illustrate the effectiveness of this method.</p>"}],"abstractLicenseFlag":"disallow"}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1410282680248062336","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000386103981"}],"foaf:name":[{"@language":"en","@value":"LI Juncheng"}],"jpcoar:affiliationName":[{"@language":"en","@value":"College of Mathematics and Finance, Hunan University of Humanities, Science and Technology"}]}],"publication":{"publicationIdentifier":[{"@type":"EISSN","@value":"18813054"}],"prism:publicationName":[{"@language":"en","@value":"Journal of Advanced Mechanical Design, Systems, and Manufacturing"},{"@language":"en","@value":"JAMDSM"}],"dc:publisher":[{"@language":"en","@value":"The Japan Society of Mechanical Engineers"},{"@language":"ja","@value":"一般社団法人 日本機械学会"}],"prism:publicationDate":"2018","prism:volume":"12","prism:number":"1","prism:startingPage":"JAMDSM0029","prism:endingPage":"JAMDSM0029"},"reviewed":"false","url":[{"@id":"https://www.jstage.jst.go.jp/article/jamdsm/12/1/12_2018jamdsm0029/_pdf"}],"availableAt":"2018","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=Trigonometric%20B%C3%A9zier%20curve","dc:title":"Trigonometric Bézier curve"},{"@id":"https://cir.nii.ac.jp/all?q=Fair%20curve","dc:title":"Fair curve"},{"@id":"https://cir.nii.ac.jp/all?q=Minimization","dc:title":"Minimization"},{"@id":"https://cir.nii.ac.jp/all?q=Curvature%20variation","dc:title":"Curvature variation"}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360292620197300352","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Planar quintic<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si41.gif\" display=\"inline\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>Hermite interpolation with minimum strain energy"}]},{"@id":"https://cir.nii.ac.jp/crid/1360292620768842112","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Planar cubic <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si6.gif\" display=\"inline\" overflow=\"scroll\"><mml:msup><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math> interpolatory splines with small strain energy"}]},{"@id":"https://cir.nii.ac.jp/crid/1360855568598249856","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Planar cubic G1 and quintic G2 Hermite interpolations via curvature variation minimization"}]},{"@id":"https://cir.nii.ac.jp/crid/1360855571348239232","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"A note on curvature variation minimizing cubic Hermite interpolants"}]},{"@id":"https://cir.nii.ac.jp/crid/1362544420089890944","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Curvature variation minimizing cubic Hermite interpolants"}]},{"@id":"https://cir.nii.ac.jp/crid/1390845713053298688","@type":"Article","relationType":["isReferencedBy"],"jpcoar:relatedTitle":[{"@language":"en","@value":"A class of quintic Hermite interpolation curve and the free parameters selection"}]}],"dataSourceIdentifier":[{"@type":"JALC","@value":"oai:japanlinkcenter.org:2003968795"},{"@type":"CROSSREF","@value":"10.1299/jamdsm.2018jamdsm0029"},{"@type":"CIA","@value":"130006517373"},{"@type":"CROSSREF","@value":"10.1299/jamdsm.2019jamdsm0011_references_DOI_S2qcjT5PI8JGassGFPpOmC7NNYv"}]}