结合调和场与刚性匹配的三维形变模型3D shape deformation using harmonic field and local rigid shape matching
侯一凡,邢帅,耿迅,徐凯
摘要(Abstract):
针对基于表面的三维模型形变方法可描述细粒度形变但不独立于三维几何表示,而基于空间的方法则刚好相反这一问题,该文提出了一种基于三维曲面调和场构建的三维形变模型。通过计算表面调和场,将模型划分为若干个形变单元;通过在每个形变单元上运用刚性形状匹配保证局部刚性形变,实现了三维模型的细节保持形变;基于调和值将形变单元上的形变插值到整个三维模型,支持三维模型的细粒度形变;为实现几何表示不相关性,该文提出了一种三维点云调和场计算方法。实验结果表明,该形变模型利用调和场将基于表面和基于空间两种方法的优点结合了起来,具有较好的实时性和可用性。
关键词(KeyWords): 三维形变;细节保持;调和场;形状匹配
基金项目(Foundation): 国家自然科学基金项目(41371436);; 973计划项目(2012CB720000)
作者(Author): 侯一凡,邢帅,耿迅,徐凯
DOI: 10.16251/j.cnki.1009-2307.2016.02.028
参考文献(References):
- [1]BOTSCH M,SORKINE O.On linear variational surface deformation methods[C]//IEEE Transactions on Visualization and Computer Graphics,2008,14(1):213-230.
- [2]HUANG J,SHI X,LIU X,et al.Subspace gradient domain mesh deformation[J].ACM Transactions on Graphics,2006,25(3):1126-1134.
- [3]YU Y,ZHOU K,XU D,et al.Mesh editing withp oisson-based gradient field manipulation[J].ACM Trans.on Graphics,2004,23(3):644-651.
- [4]黄劲.大尺度几何形变理论与方法[D].杭州:浙江大学,2007:5-6.
- [5]王隽,张宏鑫,许栋,等.勾画式泊松网格编辑[J].计算机辅助设计与图形学学报,2006,18(11):1723-1729.
- [6]AU K C,FU H,TAI C L,et al.Handle-aware isolines for scalable shape editing[J].ACM Transactions on Graphics,2007,26(3):1-10.
- [7]ZHOU K,HUANG X,XU W,et al.Direct manipulation of subdivision surfaces on GPUs[J].ACM Transactions on Graphics,2007,26(3):1-9.
- [8]BOTSCH M,PAULY M,WICKE M,et al.Adaptive space deformations based on rigid cells[C]//Computer Graphics Forum,2007,26(3):339-347.
- [9]SUMNER R W,SCHMID J,PAULY M.Embedded deformation for shape manipulation[J].ACM Transactions on Graphics,2007,26(3):1-7.
- [10]MLLER M,HEIDELBERGER B,TESCHNER M,et al.Meshless deformations based on shape matching[J].ACM Transactions on Graphics,2005,24(3):471-478.
- [11]COVER T M,HART P E.Nearest neighbor pattern classification[C].IEEE Transactions on Information Theory,1967,13(1):21-27.
- [12]BELKIN M,NIYOGI P.Towards a theoretical foundation for Laplacian-based manifold methods[J].Journal of Computer and System Sciences,Special Issue on Learning Theory,2008.
- [13]BOTSCH M,PAULY M,GROSS M,et al.PriMo:coupled prisms for intuitive surface modeling[J].Proc.of Eurographics/ACM SIGGRAPH SGP,2006:11-20.
- [14]SHI X,ZHOU K,TONG Y,et al.Mesh puppetry:cascading optimization of mesh deformation with inverse kinematics[J].ACM Transactions on Graphics,2007,26(3):1-9.
- [15]LIPMAN Y,SORKINE O,LEVIN D,et al.Linear rotation-invariant coordinates for meshes[J].ACM Transactions on Graphics(Proceedings of ACM SIGGRAPH),2005,24(3):479-487.