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| Spatial-trend-curve guided mesh stitching |
| WANG Bei, LI Ji-tuo, LU Guo-dong |
Engineering & Computer Graphics Institute, Mechanical Engineering Department, Zhejiang University,
Hangzhou 310027, China |
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Abstract To solve surface stitching problem in 3D modeling, we proposed a method of spatial-trend-curve based mesh surface stitching. The method effectively combined potential extension information of boundary to simply and efficiently construct smooth transitional surface: the corresponding-point-pairs between two boundaries of the separated surface were matched by parametric normalization and clustering; a spatial-trend-curve represented by Bézier-curve with second-order continuity was generated on each pair of corresponding points; a smooth transitional surface was finally obtained by sampling and skinning the spatial-trend-curves. Results shows that our method have the advantage of high efficiency and reliability compared with other traditional methods．
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Published: 01 November 2013
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空间趋向曲线引导的网格曲面拼接
为了解决三维造型中的曲面拼接问题,提出基于空间趋向曲线的网格曲面拼接方法.该方法有效地结合边界曲面的延伸信息,简单高效地构造光滑的过渡曲面；通过对两待拼接曲面边界点参数归一化,由参数聚类,建立曲面边界之间的匹配点对关系；在每对匹配点对之间构建由Bézier表征的空间趋向曲线,使空间曲线在对应点对上与待拼接曲面保持二阶连续；对空间趋向曲线族进行离散化和三角化,得到光滑的过渡曲面.结果表明,与其他传统方法比较,该方法在曲面拼接应用中具有高效可靠的优势.
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| ［1］ LIN J, JIN X, WANG C C L. Fusion of disconnected mesh components with branching shapes ［J］. The Visual Computer, 2010, 26(6/8): 1017-1025．
［2］ LIN J, JIN X, WANG C C L, et al. Mesh composition on models with arbitrary boundary topology［J］. IEEE Transactions on Visualization and Computer Graphics, 2008, 14(3): 653-665．
［3］ JIN X, LIN J, WANG C C L, et al. Mesh fusion using functional blending on topologically incompatible sections ［J］. The Visual Computer, 2006, 22(4): 266-275．
［4］ ZHU L, LI S, WANG G. Accurate stitching for polygonal surfaces ［J］. International Journal of CAD/CAM, 2009, 9(1): 7177．
［5］ HASSNER T, ZELNIK-MANOR L, LEIFMAN G, et al. Minimal-cut model composition ［C］∥ Proceedings of International Conference on Shape Modeling and Applications. Cambridge MA: IEEE, 2005: 72-81.
［6］ KRAEVOY V, SHEFFER A. Template-based mesh completion ［C］∥ Proceedings of the third Eurographics symposium on Geometry processing. Vienna, Austria: Eurographics Association, 2005: 13-22．
［7］ NGUYEN M X, YUAN X, CHEN B. Geometry completion and detail generation by texture synthesis［J］. The Visual Computer, 2005, 21(8-10)：669-678.
［8］ KUMAR A, SHIH A, ITO Y, et al. A Hole-filling algorithm using non-uniform rational B-splines ［C］∥ Proceedings of the 16th International Meshing Roundtable. Seattle, Washington, USA: Springer Berlin Heidelberg, 2008: 169-182.
［9］ SZILVASI-NAGY M. Filling holes with B-spline surfaces ［J］. Journal for Geometry and Graphics, 2002, 6(1): 83-98.
［10］ SORKINE O, COHEN-OR D. Least-squares Meshes［C］∥ Proceedings of Shape Modeling Application, 2004. Genova, Italy: IEEE, 2004: 191-199．
［11］ WANG C C L, TANG K. Optimal boundary triangulations of an interpolating ruled surface ［J］. Journal of Computing and Information Science in Engineering, 2005, 5(4): 291-301．
［12］ TURK G, O′BRIEN J F. Modeling with implicit surfaces that interpolate ［J］. ACM Transactions on Graphics, 2002, 21(4): 855-873.
［13］ CARR J C, BEASTON R K, CHERRIE J B, et al. Reconstruction and representation of 3D objects with radial basis functions ［C］∥ Proceedings of the 28th annual conference on Computer Graphics and Interactive Techniques. Los Angeles, California, USA: ACM, 2001: 67-76.
［14］ 朱心雄. 自由曲线曲面造型技术［M］. 北京: 科学出版社, 2000:72-74． |
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