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中文摘要：
针对均匀和准均匀B样条小波多分辨率建模表示能力和适应性的不足,基于离散内积和非均匀B样条节点插入算法建立了一种非均匀半正交B样条小波,并进一步论述了其在非均匀B样条曲线曲面中的多分辨率设计.最后通过实例对非均匀B样条曲线曲面中的多分辨率建模进行了说明和验证.
英文摘要：
A kind of semi-orthogonal nonuniform B-spline wavelets is proposed based on discrete inner product and B-spline knot insertion algorithm. It has stronger representation capability and extensive adaptability compared with any uniform and quasi-uniform B-spline wavelets in CAGD CG. Multiresolution geometric modeling is discussed for nonuniform B-spline curves and surfaces using nonuniform B-spline wavelets. The experimental results show the efficiency of proposed non-uniform B-spline wavelets in multiresolution geometric modeling.
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