期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

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
原文传递
导出
摘要 A new method for constructing triangular patches is presented. The triangular patch that interpolates the given boundary curves and cross-boundary slopes is constructed by a basic approximation operator plus an additional interpolation operator. The basic approximation operator is constructed by a polynomial surface of degree five which approximates the given interpolation conditions. The additional interpolation operator is formed by the side-vertex method. The basic and the additional operators have different roles in constructing the triangular patch: the first one makes the triangular patch approximate the given interpolation conditions with a polynomial approximation precision of degree five, while the second one makes it satisfy the given interpolation conditions. The triangular patch reproduces polynomial surfaces of degree five. Comparison results of the new method with the other two methods are included.
作者 ZHANGCaiming JIXiuhua YANGXingqiang
机构地区 SchoolofComputerScienceandTechnology DepartmentofComputerScienceandTechnology SchoolofComputerScienceandTechnology
出处 《Science in China(Series F)》 2005年第2期263-272,共10页 中国科学（F辑英文版）
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).
关键词 triangular patch INTERPOLATION polynomial of degree five Boolean sum side-vertex operator. triangular patch, interpolation, polynomial of degree five, Boolean sum, side-vertex operator.
分类号 TP391.41 [自动化与计算机技术—计算机应用技术] TP301.6 [自动化与计算机技术—计算机系统结构]
  • 相关文献

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.

同被引文献1

引证文献2

二级引证文献10

Science in China(Series F)
2005年 第2期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部