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基于核密度估計(jì)的散亂點(diǎn)云邊界特征提取
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國(guó)家自然科學(xué)基金資助項(xiàng)目(51075247)和山東省自然科學(xué)基金資助項(xiàng)目(ZR2010EM008)


Boundary Feature Abstraction of Unorganized Points Based on Kernel Density Estimation
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    摘要:

    為獲得逆向工程中復(fù)雜散亂點(diǎn)云的邊界特征,提出了一種基于k鄰域點(diǎn)集核密度估計(jì)的邊界特征識(shí)別與提取算法,通過(guò)R*樹(shù)索引結(jié)構(gòu)和動(dòng)態(tài)擴(kuò)展空心球算法實(shí)現(xiàn)樣點(diǎn)k鄰域點(diǎn)集的快速查詢(xún),將查詢(xún)區(qū)域半徑作為帶寬對(duì)點(diǎn)集進(jìn)行核密度估計(jì),由核密度估計(jì)獲得反映點(diǎn)集分布的模式點(diǎn),依據(jù)模式點(diǎn)到樣點(diǎn)的距離與帶寬的比值判別邊界點(diǎn)特征。實(shí)驗(yàn)結(jié)果表明,該算法能夠快速、準(zhǔn)確提取逆向工程中均勻及非均勻分布的散亂點(diǎn)云的邊界特征。

    Abstract:

    In order to obtain the boundary feature of unorganized points, a method of boundary feature recognition and abstraction was proposed based on the kernel density estimation on k-neighborhood of every sample point. k-neighborhood of a sample point could be acquired quickly based on R*-tree index, and the radius of query area viewed as bandwidth was used to kernel density estimation on the point set consisted of the sample point and its k-neighborhood. In this way, the mode points reflected the distribution of point sets could be obtained. According to the ratio of distance between mode points and sample points to the bandwidh of kernel density estimation, the sample points located on boundary could be recognited and abstracted. The experimental results show that the algorithm can obtain the boundary feature of the unorganized points in uniform or nonuniform distribution exactly and rapidly. 

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孫殿柱,劉華東,史陽(yáng),李延瑞.基于核密度估計(jì)的散亂點(diǎn)云邊界特征提取[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2013,44(12):275-279,268. Sun Dianzhu, Liu Huadong, Shi Yang, Li Yanrui. Boundary Feature Abstraction of Unorganized Points Based on Kernel Density Estimation[J]. Transactions of the Chinese Society for Agricultural Machinery,2013,44(12):275-279,268.

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  • 在線(xiàn)發(fā)布日期: 2013-12-05
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