Bibliographic Details
| 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] |
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| Database: |
Engineering Source |
