{"@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/1390282680626927872.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.11522/pscjspe.2005a.0.233.0"}},{"identifier":{"@type":"NAID","@value":"130004656858"}}],"dc:title":[{"@language":"en","@value":"General Formulas of Aesthetic Curves and Their Self-Affinity"},{"@language":"ja","@value":"美しい曲線の一般式とその自己アフィン性"}],"description":[{"type":"abstract","notation":[{"@language":"en","@value":"The curve is the most basic design element to determine shapes and silhouettes of industrial products and works for shape designers and  it is inevitable for them to make it aesthetic and attractive to improve the total quality of the shape design. If we can formulate the aesthetic curves, it is expected that the quality of the curve design improves drastically because we can use them as standards to generate, evaluate, and deform the curves.<br>  In this paper,we discuss the properties of two typical aesthetically beautiful curves: the logarithmic spiral and the clothoid curve and we derive a general formula of aesthetic curves that describes the relationship between their radii of curvature and lengths inclusively expressing these two curves. Furthermore we show the self–affinity possessed by the curves satisfying the general formula of aesthetic curves."},{"@language":"ja","@value":"意匠設計を行うデザイナにとって,曲線は製品や作品のシルエットや形状を決定するもっとも基本的なデザイン要素であり,それを美しく魅力的にすることは意匠設計の質を高めるために必要不可欠である.美しい曲線を定式化することが可能であれば,CAD等のデザインツールを開発するうえで,曲線の生成,その品質の評価,あるいは変形等において,標準や規範となる曲線を定義·参照することが可能となり,デザインの質を著しく向上させることが期待できる.<br>そこで,本研究では美しい曲線の代表例である対数(等角)らせんとクロソイド曲線の性質について考察し,それらの性質を統一的に表す表現式として美しい曲線の一般式を提案する.さらに,本研究で提案する美しい曲線の曲率対数分布図が直線で表されること,また,曲線を直交する2軸方向に異なる倍率でスケーリングしても,その形状が不変であるという自己アフィン性を持つことを示す."}],"abstractLicenseFlag":"disallow"}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1030003658368402432","@type":"Researcher","personIdentifier":[{"@type":"KAKEN_RESEARCHERS","@value":"50254066"},{"@type":"NRID","@value":"1000050254066"},{"@type":"NRID","@value":"9000383165500"},{"@type":"NRID","@value":"9000347204836"},{"@type":"NRID","@value":"9000347202923"},{"@type":"NRID","@value":"9000347203829"},{"@type":"NRID","@value":"9000240072140"},{"@type":"NRID","@value":"9000403165185"},{"@type":"NRID","@value":"9000391837741"},{"@type":"NRID","@value":"9000345276308"},{"@type":"NRID","@value":"9000410039597"},{"@type":"NRID","@value":"9000258011035"},{"@type":"NRID","@value":"9000404230143"},{"@type":"NRID","@value":"9000365557561"},{"@type":"NRID","@value":"9000283821925"},{"@type":"NRID","@value":"9000345226665"},{"@type":"NRID","@value":"9000345226671"},{"@type":"NRID","@value":"9000347153499"},{"@type":"NRID","@value":"9000411087043"},{"@type":"NRID","@value":"9000398141969"},{"@type":"NRID","@value":"9000406367347"},{"@type":"NRID","@value":"9000391836743"},{"@type":"NRID","@value":"9000375890190"},{"@type":"NRID","@value":"9000399785640"},{"@type":"NRID","@value":"9000258654208"},{"@type":"NRID","@value":"9000345278219"},{"@type":"NRID","@value":"9000345226676"},{"@type":"NRID","@value":"9000410040257"},{"@type":"NRID","@value":"9000399367873"},{"@type":"NRID","@value":"9000006670060"},{"@type":"NRID","@value":"9000347203093"},{"@type":"NRID","@value":"9000347203917"},{"@type":"NRID","@value":"9000347203828"},{"@type":"NRID","@value":"9000346924443"},{"@type":"NRID","@value":"9000347177452"},{"@type":"NRID","@value":"9000410039622"},{"@type":"NRID","@value":"9000406356803"},{"@type":"NRID","@value":"9000258653591"},{"@type":"NRID","@value":"9000258655929"},{"@type":"NRID","@value":"9000242678767"},{"@type":"NRID","@value":"9000020202302"},{"@type":"NRID","@value":"9000383165230"},{"@type":"NRID","@value":"9000347206134"},{"@type":"NRID","@value":"9000347203823"},{"@type":"NRID","@value":"9000347177526"},{"@type":"NRID","@value":"9000347177535"},{"@type":"NRID","@value":"9000410040037"},{"@type":"NRID","@value":"9000258642538"},{"@type":"NRID","@value":"9000258071473"},{"@type":"NRID","@value":"9000258658563"},{"@type":"NRID","@value":"9000242140399"},{"@type":"NRID","@value":"9000391837190"},{"@type":"NRID","@value":"9000283822005"},{"@type":"NRID","@value":"9000347203156"},{"@type":"NRID","@value":"9000240072326"},{"@type":"NRID","@value":"9000408770414"},{"@type":"NRID","@value":"9000403164715"},{"@type":"NRID","@value":"9000398141150"},{"@type":"NRID","@value":"9000258648320"},{"@type":"NRID","@value":"9000258655615"},{"@type":"NRID","@value":"9000383165610"},{"@type":"NRID","@value":"9000391836791"},{"@type":"NRID","@value":"9000345277900"},{"@type":"NRID","@value":"9000347206112"},{"@type":"NRID","@value":"9000345292891"},{"@type":"NRID","@value":"9000347153495"},{"@type":"NRID","@value":"9000406356881"},{"@type":"NRID","@value":"9000399367863"},{"@type":"NRID","@value":"9000398793961"},{"@type":"NRID","@value":"9000258657558"},{"@type":"NRID","@value":"9000258658284"},{"@type":"NRID","@value":"9000404252816"},{"@type":"NRID","@value":"9000398140231"},{"@type":"NRID","@value":"9000258649990"},{"@type":"NRID","@value":"9000406367333"},{"@type":"NRID","@value":"9000375890179"},{"@type":"NRID","@value":"9000283805121"},{"@type":"NRID","@value":"9000398141151"},{"@type":"NRID","@value":"9000405881110"},{"@type":"NRID","@value":"9000258008827"},{"@type":"NRID","@value":"9000258648314"},{"@type":"NRID","@value":"9000414804867"},{"@type":"NRID","@value":"9000391837660"},{"@type":"NRID","@value":"9000347176046"},{"@type":"NRID","@value":"9000347177585"},{"@type":"NRID","@value":"9000397692300"},{"@type":"NRID","@value":"9000392508227"},{"@type":"NRID","@value":"9000258657004"},{"@type":"NRID","@value":"9000347176688"},{"@type":"NRID","@value":"9000391989715"},{"@type":"NRID","@value":"9000399782434"},{"@type":"NRID","@value":"9000241812688"},{"@type":"NRID","@value":"9000391837599"},{"@type":"NRID","@value":"9000391837791"},{"@type":"NRID","@value":"9000345277894"},{"@type":"NRID","@value":"9000347153498"},{"@type":"NRID","@value":"9000410039603"},{"@type":"NRID","@value":"9000406356516"},{"@type":"NRID","@value":"9000399785253"},{"@type":"NRID","@value":"9000399782724"},{"@type":"NRID","@value":"9000365558510"},{"@type":"NRID","@value":"9000391837202"},{"@type":"NRID","@value":"9000347153686"},{"@type":"NRID","@value":"9000414821439"},{"@type":"NRID","@value":"9000406367352"},{"@type":"RESEARCHMAP","@value":"https://researchmap.jp/read0101387"}],"foaf:name":[{"@language":"en","@value":"Miura Kenjiro"},{"@language":"ja","@value":"三浦 憲二郎"}],"jpcoar:affiliationName":[{"@language":"en","@value":"Shizuoka University"},{"@language":"ja","@value":"静岡大学　工学部　機械工学科"}]}],"publication":{"prism:publicationName":[{"@language":"en","@value":"Proceedings of JSPE Semestrial Meeting"},{"@language":"ja","@value":"精密工学会学術講演会講演論文集"},{"@language":"en","@value":"Proceedings of JSPE Semestrial Meeting"},{"@language":"ja","@value":"精密工学会学術講演会講演論文集"}],"dc:publisher":[{"@language":"en","@value":"The Japan Society for Precision Engineering"},{"@language":"ja","@value":"公益社団法人 精密工学会"}],"prism:publicationDate":"2005","prism:volume":"2005A","prism:number":"0","prism:startingPage":"233","prism:endingPage":"234"},"availableAt":"2005","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=aesthetic%20curve","dc:title":"aesthetic curve"},{"@id":"https://cir.nii.ac.jp/all?q=fine%20tuned%20clothoid","dc:title":"fine tuned clothoid"},{"@id":"https://cir.nii.ac.jp/all?q=extended%20clothoid","dc:title":"extended clothoid"},{"@id":"https://cir.nii.ac.jp/all?q=self%E2%80%93affinity","dc:title":"self–affinity"},{"@id":"https://cir.nii.ac.jp/all?q=logarithmic%20curvature%20histogram","dc:title":"logarithmic curvature histogram"},{"@id":"https://cir.nii.ac.jp/all?q=%E7%BE%8E%E3%81%97%E3%81%84%E6%9B%B2%E7%B7%9A","dc:title":"美しい曲線"},{"@id":"https://cir.nii.ac.jp/all?q=%E3%83%95%E3%82%A1%E3%82%A4%E3%83%B3%E3%83%81%E3%83%A5%E3%83%BC%E3%83%B3%E3%82%AF%E3%83%AD%E3%82%BD%E3%82%A4%E3%83%89","dc:title":"ファインチューンクロソイド"},{"@id":"https://cir.nii.ac.jp/all?q=%E6%8B%A1%E5%BC%B5%E3%82%AF%E3%83%AD%E3%82%BD%E3%82%A4%E3%83%89","dc:title":"拡張クロソイド"},{"@id":"https://cir.nii.ac.jp/all?q=%E8%87%AA%E5%B7%B1%E3%82%A2%E3%83%95%E3%82%A3%E3%83%B3%E6%80%A7","dc:title":"自己アフィン性"},{"@id":"https://cir.nii.ac.jp/all?q=%E6%9B%B2%E7%8E%87%E5%AF%BE%E6%95%B0%E5%88%86%E5%B8%83%E5%9B%B3","dc:title":"曲率対数分布図"}],"dataSourceIdentifier":[{"@type":"JALC","@value":"oai:japanlinkcenter.org:1003443029"},{"@type":"CIA","@value":"130004656858"}]}