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Interactive Generation of 3D Class A Bézier Curve Segments.

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Title: Interactive Generation of 3D Class A Bézier Curve Segments.
Authors: Yoshida, Norimasa1 norimasa@acm.org, Fukuda, Ryo1, Saito, Takafumi2 txsaito@cc.tuat.ac.jp
Source: Computer-Aided Design & Applications. 2010, Vol. 7 Issue 2, p163-172. 10p. 3 Diagrams, 2 Charts, 4 Graphs.
Subjects: Curvature, Tangential coordinates, Numerical analysis, Torsion, Geometry
Abstract: This paper presents a method for interactively generating a 3D class A Bézier curve segment by specifying two endpoints and their tangents. We clarify geometric properties of 3D class A Bézier curves and use them for efficiently generating 3D class A Bézier curve segments satisfying the specified positional and tangential constraints. The characteristics of typical 3D class A Bézier curves are also clarified. [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
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DbLabel: Engineering Source
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PubType: Academic Journal
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  Data: Interactive Generation of 3D Class A Bézier Curve Segments.
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  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="%22Fukuda%2C+Ryo%22">Fukuda, Ryo</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Saito%2C+Takafumi%22">Saito, Takafumi</searchLink><relatesTo>2</relatesTo><i> txsaito@cc.tuat.ac.jp</i>
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  Data: <searchLink fieldCode="JN" term="%22Computer-Aided+Design+%26+Applications%22">Computer-Aided Design & Applications</searchLink>. 2010, Vol. 7 Issue 2, p163-172. 10p. 3 Diagrams, 2 Charts, 4 Graphs.
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  Data: <searchLink fieldCode="DE" term="%22Curvature%22">Curvature</searchLink><br /><searchLink fieldCode="DE" term="%22Tangential+coordinates%22">Tangential coordinates</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Torsion%22">Torsion</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%22">Geometry</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper presents a method for interactively generating a 3D class A Bézier curve segment by specifying two endpoints and their tangents. We clarify geometric properties of 3D class A Bézier curves and use them for efficiently generating 3D class A Bézier curve segments satisfying the specified positional and tangential constraints. The characteristics of typical 3D class A Bézier curves are also clarified. [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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        Value: 10.3722/cadaps.2010.163-172
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      – Code: eng
        Text: English
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        PageCount: 10
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      – SubjectFull: Curvature
        Type: general
      – SubjectFull: Tangential coordinates
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Torsion
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      – SubjectFull: Geometry
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      – TitleFull: Interactive Generation of 3D Class A Bézier Curve Segments.
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              Text: 2010
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