In an earlier work, we have presented an efficient method for synthesizing crank-rocker mechanisms that are capable of generating perceptually simple and smooth low harmonic closed curves. In this paper, we seek to extend this approach to the synthesis of planar four-bar linkages for the generation of open curves. Instead of using Fourier transform that requires a function to be defined over the entire period, we combine finite Fourier series in a curve fitting scheme for the approximation of periodic as well as nonperiodic paths. This yields a general method for planar four-bar path generation that is applicable to both closed and open paths.
On the Extension of a Fourier Descriptor Based Method for Planar Four-Bar Linkage Synthesis for Generation of Open and Closed Paths
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Wu, J., Ge, Q. J., Gao, F., and Guo, W. Z. (July 12, 2011). "On the Extension of a Fourier Descriptor Based Method for Planar Four-Bar Linkage Synthesis for Generation of Open and Closed Paths." ASME. J. Mechanisms Robotics. August 2011; 3(3): 031002. https://doi.org/10.1115/1.4004227
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