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三角網(wǎng)格模型變形設
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Deformation Design of Triangular Mesh Model
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    摘要:

    提出了一種三角網(wǎng)格模型變形算法,采用最小二乘法求解三角網(wǎng)格模型變形設計的參考曲面,將網(wǎng)格頂點向參考曲面投影,建立網(wǎng)格頂點與投影點間的映射關系,通過調整參考曲面控制頂點,根據(jù)投影點位移量調整網(wǎng)格頂點坐標,采用三角Bézier曲面理論進行網(wǎng)格模型光順處理,實例證明該方法可準確控制模型形狀,有效提高三角網(wǎng)格模型的光順性及變形設計效率。

    Abstract:

    A design algorithm of a triangular mesh model was proposed, that included four steps: first, the reference surface of the triangular mesh model was obtained with least square method; second, the projection point of vertex on mesh was calculated and the mapping relationship of mesh vertex and projection point was built; third, the coordinates of mesh vertexes were changed according to the displacement of projection points when adjusting the control points of reference surface; and fourth, the fairing of mesh model was built with triangular Bézier surface design method, which proved that the deformation region of triangular mesh model was effectively controlled. The smoothness of mesh model and the efficiency of innovative deformation designing have been improved effectively.

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孫殿柱,田中朝,李延瑞,李心成.三角網(wǎng)格模型變形設[J].農業(yè)機械學報,2010,41(3):223-226. Deformation Design of Triangular Mesh Model[J]. Transactions of the Chinese Society for Agricultural Machinery,2010,41(3):223-226.

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