Abstract
AbstractThis paper presents an efficient and stable method for drawing compound-rhythm log-aesthetic 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.
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