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基于层次B样条的网格模型变形技术

Mesh Deformation with Hierarchical B-Splines

  • 摘要: 针对常用的网格模型提出了一个基于层次B样条控制的三维网格空间变形框架.首先由用户交互地选取编辑区域,由程序完成编辑区域的参数化和均匀重采样;然后用层次B样条光顺拟合这些均匀采样点,所得的B样条曲面作为网格模型的基曲面,计算待编辑区域中网格顶点相对该B样条基曲面的局部坐标,该局部坐标平移、旋转不变,可视为模型的内蕴几何特征,并作为变形操作中的不变量.用户通过编辑层次B样条基曲面或者直接编辑三维网格模型,可实现多分辨率变形.实验结果表明:该方法操作直观方便,无论对整体还是局部变形,都能取得可控、可靠的变形效果,且采用B样条曲面的控制手段易于与已有的造型系统合成.

     

    Abstract: A novel mesh deformation framework controlled by hierarchical B-spline surfaces is proposed. First,region of interest (ROI) is selected interactively,then the ROI is automatically parameterized and resampled uniformly.The re-sampled points are fitted with hierarchical B-spline surfaces.The local coordinates of the vertices in the ROI corresponding to the hierarchical B-spline surfaces are computed.Being invariant in translation and rotation,these local coordinates could be regarded as intrinsic geometric variables for the mesh,remaining unchanged during deformation operation. Through editing the B-spline control points interactively or manipulating the mesh directly,the intended object deformation is achieved.Experimental results demonstrate that the proposed method provides a convenient and intuitive approach for both global and local deformation.Since the hierarchical B-splines are popular in current modeling systems,the proposed method can be easily integrated into them.

     

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