| 计算机技术、通信技术 |
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| 基于广义重心坐标的多边形域Coons面片 |
罗川疆( ),李亚娟,邓重阳*() |
| 杭州电子科技大学 理学院，浙江 杭州 310018 |
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| Multi-sided Coons patches based on generalized barycentric coordinates |
| Chuanjiang LUO(),Yajuan LI,Chongyang DENG*() |
| School of Science, Hangzhou Dianzi University, Hangzhou 310018, China |
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刘海燕, 朱春钢, 李彩云. 基于边界曲线的N边域toric曲面片生成[C]// 第5届全国几何设计与计算学术会议论文集. 广州: [s. n. ], 2011.
LIU Haiyan, ZHU Chungang, LI Caiyun. Constructing N-sided toric surface patches from boundary curves [C]// Proceedings of the 5th National Conference on Geometric Design and Computing. Guangzhou: [s. n. ], 2011.
|
| 2 |
COONS S A. Surfaces for computer aided design of space forms [EB/OL]. [2023-07-15]. https://dspace.mit.edu/handle/1721.1/149362.
|
| 3 |
FARIN G. Curves and surfaces for computer-aided geometric design: a practical guide [M]. [S. l. ]: Elsevier, 2014.
|
| 4 |
GREGORY J A, ZHOU J Irregular C2 surface construction using bi-polynomial rectangular patches[J]. Computer Aided Geometric Design, 1999, 16 (5): 423- 435
doi: 10.1016/S0167-8396(99)00011-4
|
| 5 |
SHI K L, YONG J H, SUN J G, et al Filling n-sided regions with G1 triangular Coons B-spline patches[J]. The Visual Computer, 2010, 26 (6): 791- 800
|
| 6 |
YANG Y J, YONG J H, ZHANG H, et al A rational extension of Piegl’s method for filling n-sided holes[J]. Computer-Aided Design, 2006, 38 (11): 1166- 1178
doi: 10.1016/j.cad.2006.07.001
|
| 7 |
LAI S, CHENG F Explicit construction of C2 surfaces for meshes of arbitrary topology[J]. Computer-Aided Design and Applications, 2017, 14 (6): 805- 814
doi: 10.1080/16864360.2017.1288366
|
| 8 |
VÁRADY T, SALVI P, KARIKÓ G. A multi-sided Bézier patch with a simple control structure [C]//Computer Graphics Forum. [S. l. ]: Wiley, 2016: 307-317.
|
| 9 |
SALVI P, VÁRADY T, ROCKWOOD A Ribbon-based transfinite surfaces[J]. Computer Aided Geometric Design, 2014, 31 (9): 613- 630
doi: 10.1016/j.cagd.2014.06.006
|
| 10 |
HAMANN B, TSAI P Y A tessellation algorithm for the representation of trimmed NURBS surfaces with arbitrary trimming curves[J]. Computer-Aided Design, 1996, 28 (6/7): 461- 472
|
| 11 |
VÁRADY T, SALVI P, ROCKWOOD A Transfinite surface interpolation with interior control[J]. Graphical Models, 2012, 74 (6): 311- 320
doi: 10.1016/j.gmod.2012.03.003
|
| 12 |
KATO K Generation of n-sided surface patches with holes[J]. Computer-Aided Design, 1991, 23 (10): 676- 683
doi: 10.1016/0010-4485(91)90020-W
|
| 13 |
SABIN M. Transfinite surface interpolation [C]// IMA Conference on the Mathematics of Surfaces. New York: Oxford University Press, 1996: 517-534.
|
| 14 |
GORDON W J. Spline-blended surface interpolation through curve networks [J]. Journal of Mathematics and Mechanics, 1969: 931-952.
|
| 15 |
GORDON W J Blending-function methods of bivariate and multivariate interpolation and approximation[J]. SIAM Journal on Numerical Analysis, 1971, 8 (1): 158- 177
doi: 10.1137/0708019
|
| 16 |
GREGORY J A, LAU V K H, ZHOU J. Smooth parametric surfaces and n-sided patches [EB/OL]. [2023-07-10]. https://doi.org/10.1007/978-94-009-2017-0_14.
|
| 17 |
VÁRADY T, ROCKWOOD A, SALVI P Transfinite surface interpolation over irregular n-sided domains[J]. Computer-Aided Design, 2011, 43 (11): 1330- 1340
doi: 10.1016/j.cad.2011.08.028
|
| 18 |
SALVI P, VÁRADY T Multi-sided Bézier surfaces over concave polygonal domains[J]. Computers and Graphics, 2018, 74: 56- 65
doi: 10.1016/j.cag.2018.05.006
|
| 19 |
VÁRADY T, SALVI P, VAITKUS M, et al Multi-sided Bézier surfaces over curved, multi-connected domains[J]. Computer Aided Geometric Design, 2020, 78: 101828
doi: 10.1016/j.cagd.2020.101828
|
| 20 |
QIN K, LI Y, DENG C Blending Bézier patch for multi-sided surface modeling[J]. Computer Aided Geometric Design, 2023, 105: 102222
doi: 10.1016/j.cagd.2023.102222
|
| 21 |
SALVI P. A multi-sided generalization of the C0 Coons patch [EB/OL]. [2023-07-15]. https://arxiv.org/abs/2002.11347.
|
| 22 |
SEDERBERG T W, ZHENG J Birational quadrilateral maps[J]. Computer Aided Geometric Design, 2015, 32: 1- 4
doi: 10.1016/j.cagd.2014.11.001
|
| 23 |
FLOATER M S The inverse of a rational bilinear mapping[J]. Computer Aided Geometric Design, 2015, 33: 46- 50
doi: 10.1016/j.cagd.2015.01.002
|
| 24 |
WACHSPRESS E L. A rational finite element basis [M]. New York: Academic Press, 1975.
|
| 25 |
WARREN J Barycentric coordinates for convex polytopes[J]. Advances in Computational Mathematics, 1996, 6 (1): 97- 108
doi: 10.1007/BF02127699
|
| 26 |
FLOATER M S Mean value coordinates[J]. Computer Aided Geometric Design, 2003, 20 (1): 19- 27
doi: 10.1016/S0167-8396(03)00002-5
|
| 27 |
JOSHI P, MEYER M, DEROSE T, et al Harmonic coordinates for character articulation[J]. ACM Transactions on Graphics, 2007, 26 (3): 71- 81
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