【摘要】 针对三维空间中物体的变形问题,描述了一种基于层次B样条的变形算法。该算法利用了多层次B样条技术,与其它方法相比,这种方法可以得到C2连续的变形函数并且在处理表面复杂的物体时会有更高的效率。将已有的MBA(多层次B样条算法)技术从双变量的情况扩展到三个变量的情形,然后在这一技术的基础之上,提出了最终的3D物体变形算法。最后用实例证明了该算法的可行性与有效性。更多还原

【Abstract】 A deformation technique for 3D objects which is based on the concept of hierarchical B-splines is described.Using the technique of multilevel B-splines,the final deformation function is C~2 continuous and the approach proposed is more efficient than existing methods when the surface of the object is complex.The existing MBA(multilevel B-splines algorithm) interpolation technique is extended from bivariate case to trivariate case,then a perfect 3D deformation algorithm based on this technique is presented in detail.At last,an example is given to demonstrate the feasibility and effectiveness of the algorithm.更多还原