| 摘要: |
| 提出了一种基于几何信号频谱分析的网格编辑新方法．该方法通过空域中形变编辑和频域中几何信号处理技术的有机结合达到直观交互的目的．为此，通过引入原始网格的一个几何代理，然后构造两者的一致性参数化，并实施频谱分析，在频率域上将几何代理上的形变结果传递到原始网格，达到编辑的目的．其关键创新在于改进了基于径向基函数的参数化网格特征对齐方法，并给出一种崭新的自适应采样方法来更加合理地采样原始模型几何信号．进一步地，将频谱编辑方法进行了推广，将其应用于网格形状混合和几何细节特征迁移，获得了良好的合成效果． |
| 关键词: 网格编辑 特征对齐 自适应采样 网格混合形变 数字几何处理 |
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| 基金项目:Supported by the National Natural Science Foundation of China under Grant No．60333010(国家自然科学基金)；the National Grand Fundamental Research 973 Program of China under Grant No．2002CB312101(国家重点基础研究发展规划(973))；the National Science Fund for Creative Research Groups of China under Grant No．60021201(国家创新研究群体科学基金)；the National Research Foundation for the Doctoral Program of Higher Education of China under Grant No．20030335083(国家教育部博士点基金) |
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| Mesh Editing Based on Geometry Signal Spectrum Analysis |
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ZHAO Xiang-Jan,ZHANG Hong-Xin,ZHOU Kun,BAO Hu-Jun
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| Abstract: |
| A novel scheme of mesh editing is proposed based on geometry signal spectrum analysis，which effectively combines mesh deformation in space domain and the geometry signal processing techniques in frequency domain．For intuitive interaction purpose，a geometry proxy of the original mesh is constructed，the consistent parameterization for both mesh and proxy are established．With signal spectrum analysis and conveying the deformation information from the geometry agent to the original mesh，we finally achieve the goal of mesh editing．The crucial innovation is the optimization of parameterizational mesh feature alignment scheme based on the radial basis function method．Additionally,an adaptive sampling approach is also devised for better sampling original model geometry signal．As extensions of spectrum editing scheme demonstrated in this paper,the editing principle is applied to mesh morphing and geometry details transferring with satisfying results． |
| Key words: mesh editing feature alignment adaptive sampling mesh morphing digital geometry processing |
