An Adjustable Polygon Connecting Method for 3D Mesh Refinement

作者: Yinghui Wang , Wen Hao , Xiaojuan Ning , Zhenghao Shi , Minghua Zhao

DOI: 10.1109/ICVRV.2014.20

关键词: Surface (mathematics)Polygon meshPolygonSubdivisionGeometryTangentTangent spacePoint cloudTopologyMathematicsQuadrilateral

摘要: Subdivision schemes are commonly used to generate smooth surfaces from sparse discrete points. The final subdivided surface of the most existing subdivision algorithms cannot be adjusted. In this paper, a novel adjustable method is introduced solve problems mentioned above. First, mapping points generated by central point triangle tangent planes. Then, after moving certain proportion, polygons on plane obtained connecting anticlockwise. Finally, triangles and quadrilaterals formed fill gap between polygons. our can flexibly adjusted according different coefficient. Experimental results demonstrate that proposed effective robust mesh refinement.

参考文章(16)
Ahmad H. Nasri, Polyhedral subdivision methods for free-form surfaces ACM Transactions on Graphics. ,vol. 6, pp. 29- 73 ,(1987) , 10.1145/27625.27628
Zhongxian Chen, Xiaonan Luo, Le Tan, Binghong Ye, Jiapeng Chen, Progressive Interpolation based on Catmull-Clark Subdivision Surfaces Computer Graphics Forum. ,vol. 27, pp. 1823- 1827 ,(2008) , 10.1111/J.1467-8659.2008.01328.X
Yinghui Wang, Huimin Li, Xiaojuan Ning, Zhenghao Shi, A new interpolation method in mesh reconstruction from 3D point cloud virtual reality continuum and its applications in industry. pp. 235- 242 ,(2011) , 10.1145/2087756.2087790
Chongyang Deng, Weiyin Ma, Weighted progressive interpolation of Loop subdivision surfaces Computer-aided Design. ,vol. 44, pp. 424- 431 ,(2012) , 10.1016/J.CAD.2011.12.001
Denis Zorin, Peter Schröder, Wim Sweldens, Interpolating Subdivision for meshes with arbitrary topology international conference on computer graphics and interactive techniques. pp. 189- 192 ,(1996) , 10.1145/237170.237254
Fengtao Fan, Fuhua (Frank) Cheng, Shuhua Lai, Subdivision Based Interpolation with Shape Control Computer-Aided Design and Applications. ,vol. 5, pp. 539- 547 ,(2008) , 10.3722/CADAPS.2008.539-547
E. Catmull, J. Clark, Recursively generated B-spline surfaces on arbitrary topological meshes Computer-aided Design. ,vol. 10, pp. 350- 355 ,(1978) , 10.1016/0010-4485(78)90110-0
Leif Kobbelt, Interpolatory Subdivision on Open Quadrilateral Nets with Arbitrary Topology Computer Graphics Forum. ,vol. 15, pp. 409- 420 ,(1996) , 10.1111/1467-8659.1530409
Mark Halstead, Michael Kass, Tony DeRose, Efficient, fair interpolation using Catmull-Clark surfaces Proceedings of the 20th annual conference on Computer graphics and interactive techniques - SIGGRAPH '93. pp. 35- 44 ,(1993) , 10.1145/166117.166121