Compound-rhythm Log-aesthetic Space Curve Segements

Abstract

This paper extends the previous work of generating monotonic-rhythm log-aesthetic space curve segments so that compound-rhythm log-aesthetic space curve segments are interactively generated. A compound-rhythm log-aesthetic space curve segment is composed of two monotonic-rhythm log-aesthetic space curve segments whose logarithmic curvature and torsion graphs are represented by two connected line segments. By presenting a method for controlling the connection point of the two curve segments and deriving the continuity condition of the logarithmic torsion graph, we show that compound-rhythm log-aesthetic space curve segments can be generated fully interactively.