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… Click to show full abstract
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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