期刊文献+

网格模型离散微分几何量估算及应用 被引量:1

Discrete differential geometry estimation of mesh models and its application
下载PDF
导出
摘要 为了更好地估算网格模型离散微分几何属性,构造出一个新的三阶局部拟合算子。将Razdan和Bae的网格模型二阶局部拟合曲面进行推广至三阶拟合曲面,更加准确地估算网格顶点法向量和曲率值;接着定义网格顶点的测地主挠率,使用该三阶拟合曲面对其估算;将估算出的曲率和挠率值作为几何特征属性,构造三维网格模型灰度图,并应用在非真实感绘制中,获得较好的渲染效果。 To obtain better estimation on discrete differential geometric property of mesh models,a novel third-order fitting patch is constructed.Firstly,Razdanand Bae’s second-order local fitting method is extended to the third-order fitting patch which can more accurately estimate normal vector and curvature.The principal geodesic torsion of each vertex is also defined and estimated through this local fitting patch.Then,the geometric feature is set by the estimated curvature and torsion.Finally,the gray diagram of 3D mesh modes based on the geometric feature is constructed and applied for the NPR application which can produce the satisfactory rendering results.
作者 李静芳
出处 《计算机工程与设计》 CSCD 北大核心 2010年第16期3675-3677,共3页 Computer Engineering and Design
基金 浙江理工大学先进纺织材料与制备技术教育部重点实验室开放基金项目(2009008)
关键词 网格模型 拟合 BÉZIER曲面 微分几何 非真实感绘制 mesh model fitting Bézier surface differential geometry NPR
  • 相关文献

参考文献10

  • 1Liu Y,Xiong Y.Automatic segmentation of unorganized noisy point clouds based on the Gausian map[J].Computer-Aided Design,2008,40(5):576-594.
  • 2Vieira M,Shimada K.Surface mesh segmentation and smooth surface extraction through region growing[J].Computer Aided Geometric Design,2005,22(8):771-792.
  • 3Lee Y,Lee S,Shamir A,et al.Mesh scissoring with minima rule and part salience[J].Computer Aided Geometric Design,2005,22(5):444-465.
  • 4OuYang D,Feng H.On the normal vector estimation for point cloud data from smooth surfaces[J].Computer-Aided Design,2005,37(10):1071-1079.
  • 5Tong W,Tang C.Robust estimation of adaptive tensors of curvature by tensor voting[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,2005,27(3):434-449.
  • 6Goldfeather J,Interrante V.A novel cubic-order algorithm for approximating principal direction vectors[J].ACM Transaction on Graphics,2004,23(1):45-63.
  • 7Razdan A,Bae M.Curvature estimation scheme for triangle meshes using biquadratic Bézier patches[J].Computer-Aided Design,2005,37(14):1481-1491.
  • 8Lewiner T,Gomes J,Lopes H,et al.Curvature and torsion estimatots based on parametric curve fitting[J].Computers and Graphics,2005,29(5):641-655.
  • 9Bimbo A,Pala P.Content based retrieval of 3D data[C].Lecture Notes in Computer Science,2004:13-24.
  • 10Cole F,Golovinskiy A,Limpaecher A,et al.Where do people draw lines[C].Proceedings of SIGGRAPH,2008.

同被引文献13

  • 1Wang R F,Liu Y P,Sun D C,et al. Detail-generating geometry completion for point-sampled geometry[J]. Machine Vision and Applications, 2014,25 (7) : 1747-1759.
  • 2Di Angelo L,Di Stefano P.Geometric segmentation of 3D scanned surfaces[J]. Computer-Aided Design,2015,62 (5):44-56.
  • 3Fazhong S. Computer -aided geometric design and non -uniform rational B -spline [M]. Beijing : Higher Education Press, 2001 : 12-41 (in Chinese ).
  • 4Batagelo HC,Wu ST. Estimating curvatures and their derivatives on meshes of arbitrary topology from sampling directions. The Visual Computer, 2007,23 (9) : 803-812.
  • 5Pauly M, Gross M, Kobbeh L.P. Efficient simplification Visualization, 2002 : 163-170.
  • 6Sankaranarayanan J,Samet H,A V. A Fast k-Neighborhood Algorithm for Large Point Clouds[C]. In:Proceedings of Eurographics Symposium on Point-Based Graphics,Boston,MA 2006.
  • 7K Crane,F de Goes,M Desburn,et al.Digital Geometry Processing with Discrete Exterior Calculus[C]//In:proceedings of ACM SIGGRAPH. 2013.
  • 8Wang R F,Wang Q,Xue B B,et al. Simplification of point-sampled geometry with feature preservation[C]. In proceedings of IET Image, 2011,5 (4) : 299-305.
  • 9张三元.隐式曲线、曲面的几何不变量及几何连续性[J].计算机学报,1999,22(7):774-776. 被引量:12
  • 10张连伟,李焱,刘肖琳,史美萍,贺汉根.基于局部曲面拟合的散乱点云简化方法[J].计算机工程与科学,2010,32(12):65-68. 被引量:6

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部