Constructing triangular patch by basic approximation operator plus additional interpolation operator
被引量：2
Constructing triangular patch by basic approximation operator plus additional interpolation operator
基金
This work was supported by the National Natural Science Foundation of China(Grant No.601 73052)
Shandong Province Natural Science Foundation(Grant No.Z2001G01)
Doctoral Program of High Education of China(Grant No.20020422030).
参考文献16
-
1[1]Barnhill, R. E., Birkhoff, G., Gordon, W. J., Smooth interpolation in triangles, J. Approx. Theory, 1973, 8:114-128.
-
2[2]Gregory, J. A., Smooth interpolation without twist constraints, in Computer Aided Geometric Design (eds. Barnhill, R. E., Riesenfeld, R. E), New York: Academic Press, 1974, 71-88.
-
3[3]Charrot, E, Gregory, J. A., A pentagonal surface patch for computer aided geometric design, Computer Aided Geometric Design, 1984, 1(1): 87-94.
-
4[4]Gregory, J. A., C1 rectangular and non-rectangular surface patches, in Surfaces in Computer Aided Geometric Design (eds. Barnhill, R. E., Boehm, W.), Amsterdam: North-Holland, 1983, 25-33.
-
5[5]Nielson, G. M., The side vertex method for interpolation in triangles, J. Approx. Theory, 1979, 25: 318-336.
-
6[6]Hagen, H., Geometric surface patches without twist constraints, Computer Aided Geometric Design, 1986, 3(3):179-184.
-
7[7]Hagen, H., Curvature continuous triangular interpolants, in Methods in CAGD (eds. Lyche, T., Schumaker, L.),Oslo: Academic Press, 1989, 373-384.
-
8[8]Nielson, G. M., A transfinite, visually continuous, triangular interpolant, in Geometric Modeling, Applications and New Trends (ed. Farin, G.), SIAM, Philadelphia, 1987, 235-246.
-
9[9]Foley, T. A., Opitz, K., Hybrid cubic Bezier triangle patches, in Mathematical Methods for Computer Aided Geometric Design Ⅱ (eds. Lyche, T., Schumaker, L.), New York: Academic Press, 1992, 275-286.
-
10[10]Kuriyama, S., Surface modeling with an irregular network of curves via sweeping and blending, Computer-Aided Design, 1994, 26(8): 597-406.
二级引证文献10
-
1唐运梅,吴晓勤,韩旭里.三角域上C^1连续的H-Coons曲面片[J].工程图学学报,2010,31(2):97-103.
-
2高珊珊,张彩明.散乱数据点多项式插值光顺曲面的构造[J].计算机辅助设计与图形学学报,2008,20(6):759-764. 被引量：1
-
3吴晓勤,韩旭里,罗善明.带形状参数的C^1连续的三角Coons曲面片[J].计算机应用,2008,28(12):3123-3125. 被引量：1
-
4吴晓勤,韩旭里,罗善明,王军昌.三角域上C^1连续的C-Coons曲面片[J].计算机应用研究,2009,26(4):1538-1540. 被引量：1
-
5黄俊英,王相海.GC^1约束的三角Bézier曲面降阶逼近研究[J].计算机工程与应用,2009,45(11):196-198. 被引量：1
-
6吴晓勤,韩旭里,唐运梅.三角域上C^1连续的T-Coons曲面片[J].计算机工程与应用,2010,46(1):173-176.
-
7王相海,黄俊英,李明.GC^1约束的多三角Bézier曲面混合降阶逼近研究[J].计算机研究与发展,2013,50(5):1012-1020.
-
8张挺,杜奕,黄涛,李雪.一种基于并行SNESIM的空间数据重建方法[J].计算机研究与发展,2015,52(6):1431-1442. 被引量：2
-
9于谦,张彩明.在三角域上构造三次多项式插值曲面[J].计算机辅助设计与图形学学报,2017,29(5):868-873. 被引量：3
-
10李帅,王清辉.紧凑型电子设备支撑壳体的复杂设计域计算[J].机电工程技术,2022,51(3):36-39.
-
1李华,刘慎权.Transformations between Rectangular and Triangular Patches in Beizier Form[J].Journal of Computer Science & Technology,1989,4(1):52-60.
-
2Hui Liu,Jun Ma,Fuhua （Frank） Cheng.Constructing parametric triangular patches with boundary conditions[J].Progress in Natural Science:Materials International,2008,18(3):315-322.
-
3陶志红,周从华,陈钟,王立福.Bounded Model Checking of CTL＊[J].Journal of Computer Science & Technology,2007,22(1):39-43. 被引量：3
-
4Wang Lazhu,Zhu Xinxiong.CONSTRUCTING RECTANGULAR NURBS SURFACES IN TERMS OF THREE OF ITS FOUR BOUNDARY CURVES[J].Computer Aided Drafting,Design and Manufacturing,1995,5(1):21-25.
-
5Mu Guowan,and Dai Shijie.Reconstruction of B-spline surface by interpolating boundary curves and approximating inner points[J].Computer Aided Drafting,Design and Manufacturing,2012,22(1):31-34. 被引量：2
-
6LIU Hai-bo,GU Guo-chang,SHEN Jing,FU Yan.Multi-agent immune recognition of water mine model[J].Journal of Marine Science and Application,2005,4(2):44-49.
-
7李亮,褚雪松.An Improved Particle Swarm Optimization Algorithm with Harmony Strategy for the Location of Critical Slip Surface of Slopes[J].China Ocean Engineering,2011,25(2):357-364. 被引量：12
-
8M.Syed Ali,R.Saravanakumar.Robust H_∞ control of uncertain systems with two additive time-varying delays[J].Chinese Physics B,2015,24(9):25-34.
-
9LIU Jinguo,GAO Yang,WANG Yuechao,MA Shugen,LUO Yifan.Comments on “Sidewinding with Minimal Slip: Snake and Robot Ascent of Sandy Slopes”[J].机器人,2015,37(2):254-256.
-
10舒苏荀,龚文惠.An Artificial Neural Network-Based Response Surface Method for Reliability Analyses of c-φ Slopes with Spatially Variable Soil[J].China Ocean Engineering,2016,30(1):113-122. 被引量：4
