Mesh Deformation with Hierarchical B-Splines

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.