针对凸组合参数化方法难以处理具有孔洞的网格模型,以及对不规则边界的网格模型参数化的边界处变形较大的问题,提出了一种新的参数化方法,首先通过拟合变分隐式曲面修补网格上的孔洞,并构造出较规则的附加边界,最后采用凸组合参数化方法进行参数化.通过曲面拟合实验表明,该方法引入的附加数据作为曲面拟合数据,最终的拟合曲面在孔洞以及边界处具有较好的光顺性,且该方法已应用于复合材料成型模具快速设计中的参数化曲面构建.
参考文献
[1] | 彭群生,胡国飞.三角网格的参数化[J].计算机辅助设计与图形学学报,2004(06):731-739. |
[2] | Tutte W.How to draw a graph[A].London,1963:743-768. |
[3] | Floater M S .Parametrization and smooth approximationof surface triangulations[J].Computer Aided Geometric Design,1997,14(03):231-250. |
[4] | Floater M S .Mean value coordinates[J].Computer Aided Geometric Design,2003,20(01):19-27. |
[5] | Yunjin Lee;Hyoung Seok Kim;Seungyong Lee .Mesh parameterization with a virtual boundary[J].Computers & graphics,2002(5):677-686. |
[6] | Sheffer A;Sturler-E De .Parametrization of faceted surfaces for meshing using angle-based flattening[J].Engineering With Computers,2001,17(03):326-337. |
[7] | Sheffer A;Levy B;Mogilnitsky M;Bogomyakov A .ABF++: Fast and robust angle based flattening[J].ACM Transactions on Graphics,2005(2):311-330. |
[8] | Gorter S;Gotsman C;Thurston D .Discrete one-forms on meshes and applications to 3d mesh parameterization[J].Computer Aided Geometric Design,2006,23(02):83-112. |
[9] | Kharevych L;Springborn B;Schroder P .Discrete Conformal mappings via circle patterns[J].ACM Transactions on Graphics,2006(2):412-438. |
[10] | NICOLAS RAY;WAN CHIU LI;BRUNO LEVY;ALLA SHEFFER;PIERRE ALLIEZ .Periodic Global Parameterization[J].ACM Transactions on Graphics,2006(4):1460-1485. |
[11] | Zigelman G.;Kimmel R.;Kiryati N. .Texture mapping using surface flattening via multidimensionalscaling[J].IEEE transactions on visualization and computer graphics,2002(2):198-207. |
[12] | Chen Zhonggui;Liu Ligang;Zhang Zhengyue.Surface pararaeterization via aligning optimal local flattening[A].北京,2007:291-296. |
[13] | Davis J;Marschne S R;Garr M.Filling holes in complex surfaces using volumetric diffusion[A].Padua,2002:428-438. |
[14] | 王乾,程筱胜,戴宁,袁天然,刘大峰.基于变分隐式曲面的三角网格孔洞修补[J].中国制造业信息化,2006(23):75-78,81. |
[15] | Hoop H;DeRosc T;Duchamp T et al.Surface reconstruction from unorganized points[J].Computers & Graphics,1992,26(02):71-78. |
[16] | Yoshizawa S;Belyaev A;Seidel H P.A fast and simple stretch-minimizing mesh parameterization[A].C,enova,2004:200-208. |
[17] | Weiss V.;Andor L.;Renner G.;Varady T. .Advanced surface fitting techniques[J].Computer Aided Geometric Design,2002(1):19-42. |
[18] | 谭昌柏,周来水,张丽艳,安鲁陵.裁剪B样条曲面重建算法研究[J].中国机械工程,2007(19):2366-2370. |
[19] | Farin G;Hansford D .Discrete coons patches[J].Computer Aided Geometric Design,1999,16(07):691-700. |
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