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基于最大熵原理的復(fù)雜曲面位姿配準(zhǔn)技術(shù)
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國家自然科學(xué)基金資助項目(50875126)和民機(jī)專項科研項目(MJ-G-2011-24)


Pose Registration Technology of Complex Surfaces Based on the Maximum-entropy Principle
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    摘要:

    三維測量數(shù)據(jù)和自由曲面設(shè)計模型之間的位姿精確配準(zhǔn)是實現(xiàn)復(fù)雜曲面加工和檢測的關(guān)鍵,。為實現(xiàn)快速精確配準(zhǔn),提出一種基于最大熵原理的方法。首先基于加工定位和質(zhì)量檢測配準(zhǔn)問題的分析,,建立問題的統(tǒng)一模型,。然后研究模型的有效求解問題,,利用最大熵原理把配準(zhǔn)問題轉(zhuǎn)化為一個以熵函數(shù)為攝動項的攝動問題,,解決極大極小配準(zhǔn)模型目標(biāo)函數(shù)的不可微性,,為提高配準(zhǔn)問題求解效率提供可能,。最后通過對兩類典型配準(zhǔn)問題進(jìn)行實驗,,證明了所提方法的有效性和實用性。

    Abstract:

    The pose registration between 3D measured data and freeform surface design model is the key to complex surface machining and inspection. In order to realize fast and accurate surface registration, a method based on the maximum entropy principle was proposed. A unified mathematics model was developed based on the analyses of machining localization and the registration problem of quality evaluation of parts. The efficient numerical algorithm for the unified model was researched. Based on the maximum entropy principle, the registration problem established on the min max criterion was converted to a perturbed problem with the entropy function as the perturbation. As a result, the non differentiable object function is perfectly substituted with the maximum entropy function. This provides a possibility to improve the efficiency of solving registration problems. Experimental results about the allowance distribution and the error inspection show the validity and practicability of the method.

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譚高山,張麗艷.基于最大熵原理的復(fù)雜曲面位姿配準(zhǔn)技術(shù)[J].農(nóng)業(yè)機(jī)械學(xué)報,2014,45(7):300-305. Tan Gaoshan, Zhang Liyan. Pose Registration Technology of Complex Surfaces Based on the Maximum-entropy Principle[J]. Transactions of the Chinese Society for Agricultural Machinery,2014,45(7):300-305.

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  • 收稿日期:2013-08-28
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  • 在線發(fā)布日期: 2014-07-10
  • 出版日期: 2014-07-10
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