A Simple Algorithm of B-Spline Wavelets Fairing Based-on Geometric Meanings on Reverse Engineering
Being an excellent filter tool,wavelet analysis is applied to curve and surface fairing in reverse engineering more and more universally.In wavelet fairing,B-Spline basis function is used as wavelet basis popularly.Unfortunately,B-Spline basis functions and corresponding wavelets are lack of translation orthogonality,widely used Mallat rapid algorithm does not work for this kind of wavelet decomposition and reconstruction.On the basis of analysis of decomposition and reconstruction theory of B-Spline wavelets,inherent relationships between different dilating and translating serieses on different scale of B-Spline basis functions are researched thoroughly.The solution process of wavelet decomposition and reconstruction is described by clear geometry meanings and the corresponding solution of reconstruction matrix Pj is elaborated,too.This algorithm is clear,efficient and robust and avoids the Abstract and complexity of wavelet analysis.At last,an example of decomposition and reconstruction of complicated curveis provided by means of this algorithm.It is proved to be feasible to fairing of complicated curve.By tensor product operation,this algorithm can be applied to surface fairing easily.
Reverse engineering Wavelets B-Spline Curve Multiresolution Analysis Decomposition and reconstruction Computer Graphics
Xiaogang Ji
School of Mechanical Engineering,Jiangnan University,Wuxi,Jiangsu,214122,China
国际会议
大连
英文
279-284
2008-07-27（万方平台首次上网日期，不代表论文的发表时间）