Interactive Generation of 3D Class A Bézier Curve Segments.

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Bibliographic Details
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]
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Database: Engineering Source
Description
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]
ISSN:16864360
DOI:10.3722/cadaps.2010.163-172