Wavelet feature parameters representations of open planar curves |
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Institution: | 1. School of Mechatronic Engineering, Changchun University of Technology, No. 2055, Yanan Road, Chaoyang District, Changchun City, Jilin Province, China, 130012;2. School of Mechanical Engineering, Dalian University of Technology, No. 2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, China, 116024.\n |
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Abstract: | The use of Haar wavelets to describe open planar curves is presented in this paper. The geometric significance of a wavelet approximation and a wavelet detail for open curves in the complex plane are given. By analysing the internal relationship of the wavelet details, a normalised process is established for extracting the wavelet feature parameters of open curves. The application of this method to non-periodic design requirements of the linkage mechanism dimensional synthesis problem is presented. Two examples are proposed to demonstrate the feasibility of this method. |
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