Paper Title:
B-Spline Surfaces Modified Geometry with Control Vertices of Weighted Constrained Optimization
  Abstract

B-spline surfaces are widely suitable for the computer-aided geometric design (CAGD) and the modified geometry is one of the important technologies in CAGD. According to variations and weighting coefficients of single or multiple control vertices, the control vertices are modified by the method of weighted constrained optimization, the method of least squares was used for the optimal positions of control vertices on surfaces, and finally the modified B-spline surfaces are worked out by use of the variations of control vertices which had been calculated. The proposed approach not only can realize several modified geometry and deformation, but also is convenient for interaction design. The efficiency of the proposed approaches is illustrated by a practical application.

  Info
Periodical
Edited by
Zhenyu Du and Bin Liu
Pages
131-134
DOI
10.4028/www.scientific.net/AMM.26-28.131
Citation
Y. Zhao, H. Wang, Z. G. Wang, "B-Spline Surfaces Modified Geometry with Control Vertices of Weighted Constrained Optimization", Applied Mechanics and Materials, Vols. 26-28, pp. 131-134, 2010
Online since
June 2010
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Feng Li, Lan Fang Feng, Xiao Qing Wu, Yan Bo Hui
Abstract:Reverse engineering is a new modern product design technology, which is suitable for designing complex curve and surface, has been becoming a...
283
Authors: Xiang Jiu Che, Gerald Farin, Zhan Heng Gao, Dianne Hansford
Abstract:A method for calculating the product of two B-spline functions is presented. The product is computed by solving a linear system. The...
445
Authors: Ai Min Li, Hai Bo Tian
Chapter 7: CAD/CAM/CAE
Abstract:Curve fairing has an important influence on curve editing and geometric modeling. Though there has been several different kinds of fairing...
1205
Authors: Feng He Wu, Jin Fen Wang, Jun Wang, Yu Bo Ren
Chapter 5: Other Related Topics
Abstract:The image-based 3D reconstruction technique is an important method of 3D data passive acquired in computer vision. Aimed at the limitation of...
886