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任意實體網(wǎng)格模型體積的適應(yīng)性計算
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    摘要:

    在分析三維模型數(shù)據(jù)表示結(jié)構(gòu)的基礎(chǔ)上,提出一種計算三維實體模型體積的適應(yīng)性方法。首先用一組等距的平行平面對網(wǎng)格模型進行分層剖分,并利用平面簡單多邊形的帶符號面積公式求取相應(yīng)截面的面積,然后根據(jù)相鄰平面間的距離估算模型體積。該方法可根據(jù)給定的誤差閾限適應(yīng)性地快速計算模型體積的逼近值,或以一定的時間代價求模型體積的精確值以及模型體積的分布特征。實驗表明,相應(yīng)的計算程序運行穩(wěn)定、快速,可以處理具有任意幾何和拓?fù)鋸?fù)雜性的實體模型。

    Abstract:

    Based on analysis of data structure for representation of 3-D mesh models, we propose a method to calculate value of volume of arbitrary 3-D solid model by employing an adaptive division strategy. The method first divides a model into several segments by using a set of parallel planes, and then calculates the signed areas of cross sections on the planes according to the area formula of planar simple polygons. Volume values, which are between each two adjacent sections, of the solid model can consequently be calculated in virtue of the areas and distances between the adjacent sections. By collecting the values, the total volume of the model can be obtained. Our method not only can calculate volume of 3-D model approximately and adaptively according to a threshold given by user, but also can give accurate value of model volume when some time cost is spent or extract the volume distribution of models. Experiments show that our method can run robustly and quickly even on personal computer, and can process models with arbitrary geometry and topology.

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龐明勇,盧章平.任意實體網(wǎng)格模型體積的適應(yīng)性計算[J].農(nóng)業(yè)機械學(xué)報,2007,38(1):145-149.[J]. Transactions of the Chinese Society for Agricultural Machinery,2007,38(1):145-149.

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