Compound-Rhythm Log-Aesthetic Curves.
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| Title: | Compound-Rhythm Log-Aesthetic Curves. |
|---|---|
| Authors: | Yoshida, Norimasa1 norimasa@acm.org, Saito, Takafumi2 txsaito@cc.tuat.ac.jp |
| Source: | Computer-Aided Design & Applications. 2009, Vol. 6 Issue 2, p243-252. 10p. 3 Diagrams, 1 Chart, 5 Graphs. |
| Subjects: | Logarithmic curves, Tangential coordinates, Calculus, Curvature, Spaces of constant curvature |
| Abstract: | This paper presents an efficient and stable method for drawing compound-rhythm logaesthetic curves. Compound-rhythm curves are curves whose logarithmic curvature graphs are represented by V-type or upside down V-type segments. We show that, once the continuity condition is derived, compound rhythm curves can be efficiently generated in a similar manner to generating monotonic rhythm curves. We also present a method for drawing compound-rhythm curves by specifying two endpoints, their tangential directions, α0 and α1 (which are the slopes of logarithmic curvature graphs) and the ratio rθ of the change of the tangential angle of the curve α0 to the change of the tangential angle of the whole curve. [ABSTRACT FROM AUTHOR] |
| Copyright of Computer-Aided Design & Applications is the property of Computer-Aided Design & Applications and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 43517234 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Compound-Rhythm Log-Aesthetic Curves. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Yoshida%2C+Norimasa%22">Yoshida, Norimasa</searchLink><relatesTo>1</relatesTo><i> norimasa@acm.org</i><br /><searchLink fieldCode="AR" term="%22Saito%2C+Takafumi%22">Saito, Takafumi</searchLink><relatesTo>2</relatesTo><i> txsaito@cc.tuat.ac.jp</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computer-Aided+Design+%26+Applications%22">Computer-Aided Design & Applications</searchLink>. 2009, Vol. 6 Issue 2, p243-252. 10p. 3 Diagrams, 1 Chart, 5 Graphs. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Logarithmic+curves%22">Logarithmic curves</searchLink><br /><searchLink fieldCode="DE" term="%22Tangential+coordinates%22">Tangential coordinates</searchLink><br /><searchLink fieldCode="DE" term="%22Calculus%22">Calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Curvature%22">Curvature</searchLink><br /><searchLink fieldCode="DE" term="%22Spaces+of+constant+curvature%22">Spaces of constant curvature</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper presents an efficient and stable method for drawing compound-rhythm logaesthetic curves. Compound-rhythm curves are curves whose logarithmic curvature graphs are represented by V-type or upside down V-type segments. We show that, once the continuity condition is derived, compound rhythm curves can be efficiently generated in a similar manner to generating monotonic rhythm curves. We also present a method for drawing compound-rhythm curves by specifying two endpoints, their tangential directions, α0 and α1 (which are the slopes of logarithmic curvature graphs) and the ratio rθ of the change of the tangential angle of the curve α0 to the change of the tangential angle of the whole curve. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computer-Aided Design & Applications is the property of Computer-Aided Design & Applications and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3722/cadaps.2009.243-252 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 243 Subjects: – SubjectFull: Logarithmic curves Type: general – SubjectFull: Tangential coordinates Type: general – SubjectFull: Calculus Type: general – SubjectFull: Curvature Type: general – SubjectFull: Spaces of constant curvature Type: general Titles: – TitleFull: Compound-Rhythm Log-Aesthetic Curves. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Yoshida, Norimasa – PersonEntity: Name: NameFull: Saito, Takafumi IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: 2009 Type: published Y: 2009 Identifiers: – Type: issn-print Value: 16864360 Numbering: – Type: volume Value: 6 – Type: issue Value: 2 Titles: – TitleFull: Computer-Aided Design & Applications Type: main |
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