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基于旋轉(zhuǎn)投影變換的三維網(wǎng)格模型坐標(biāo)標(biāo)準(zhǔn)化
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    摘要:

    提出了通過旋轉(zhuǎn)投影變換來解決三維網(wǎng)格模型坐標(biāo)標(biāo)準(zhǔn)化問題。基于解析幾何理論,證明分析了平面繞投影面垂直軸旋轉(zhuǎn)的旋轉(zhuǎn)投影變換,得到了旋轉(zhuǎn)角度計(jì)算公式;并結(jié)合計(jì)算機(jī)圖形學(xué)理論、概率論知識(shí)得到了網(wǎng)格模型坐標(biāo)標(biāo)準(zhǔn)化的旋轉(zhuǎn)矩陣,從而將任意位置的網(wǎng)格模型通過旋轉(zhuǎn)變換,成為標(biāo)準(zhǔn)狀態(tài)。實(shí)驗(yàn)結(jié)果表明,該方法可以快速計(jì)算出網(wǎng)格模型的旋轉(zhuǎn)角度,構(gòu)造旋轉(zhuǎn)矩陣,從而將模型坐標(biāo)標(biāo)準(zhǔn)化。

    Abstract:

    A novel method for pose normalization of 3-D mesh models was put forward based on rotation transformation. Via the theory of analytic geometry, this paper analyzed the rotation transformation of a plane, a projection transformation revolving about a basis vector, and developed the computational formula of rotation angle. We also achieved the computable rotation matrix for mesh models through further research integrating with computational graphics and probability theory. As a result, a mesh model with arbitrary position was transformed into normalized pose through rotation transformation. The experimental results show that this algorithm can calculate out the angle for rotation transformation and construct the rotation matrix to accomplish the pose estimation automatically.

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袁浩,盧章平,畢偉,聶茜.基于旋轉(zhuǎn)投影變換的三維網(wǎng)格模型坐標(biāo)標(biāo)準(zhǔn)化[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2008,39(11):132-137.[J]. Transactions of the Chinese Society for Agricultural Machinery,2008,39(11):132-137.

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