|
|
|
On Continuity Conditions for Quartic Bézier Curves and Surfaces with Shape Parameters
|
HU Gang,DAI Fang,QIN Xinqiang,ZHANG Suxia
|
(School of Science, Xi’an University of Technology, Xi’an 710054, China)
|
|
|
|
Abstract To tackle the problem that the engineering complex curves or surfaces can not be constructed by using a single curve or surface, the continuity condition of quartic quasiBézier(quartic qBézier) curves and surfaces with shape parameters was studied. Based on the analysis of the basis functions and terminal properties, the necessary and sufficient conditions of G1 and G2 continuity, and C1 and C2 continuity between two adjacent quartic qBézier curves were proposed. In order to overcome the shortcomings that the circular arc and ellipse can not be accurately represented by quartic qBézier curves, the continuity condition between quartic qBézier curves and CBézier curves was also presented. In addition, the geometric model of the quartic qBézier surfaces was constructed and the condition of G1 continuity between two adjacent quartic qBézier surfaces in u and v directions was derived and simplified by choosing the control parameters properly. The modeling examples illustrated that the continuity condition of the quartic qBézier curves and surfaces could be widely applied to the complex curves and surfaces modeling system.
|
|
Received: 29 March 2010
Published: 30 November 2010
|
|
|
|
|
|
| [1] |
HE Chun-Xia, LU De-Rong, XIAO Sheng-Ming. Dispersion Characterization of PTFE Composites Filled with Different Nano-particles[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2011, 45(09): 1411-1415. |
| [2] |
CHEN Shuo, YU Xiao-Sheng, WU Cheng-Dong, CHEN Dong-Yue. Salient Building Region Detection for Scene Classification[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2011, 45(08): 1130-1135. |
| [3] |
TU Yan-Xin, ZHU Yi, DU Zheng-Chun. A New Corner Detection Algorithm Based on Barycenter Finding[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2011, 45(07): 1031-1034. |
| [4] |
GU Wangyi,ZHU Lin,YANG Jie. Fast Approximate Clustering Algorithm and Its Application in Image Retrieval[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2011, 45(02): 149-0153. |
| [5] |
ZHAI Haijun1,2,GUO Yong3,GUO Jiafeng2,CHENG Xueqi2. A Named Entity Mining Method Based on Transfer Learning
[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2011, 45(02): 164-0167. |
| [6] |
GE Meiling,YAO Lixiu,LI Juan,YANG Jie
. Facial Animation Based on CANDIDE Model
[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2010, 44(11): 1491-1500. |
| [7] |
JIANG Ruyi,LIU Hongtao,HU Wen,LIANG Qinghua,WANG Shigang
. Microassembly Force Measurement Using Blur Image Analysis
[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2010, 44(08): 1046-1050. |
| [8] |
QIN Xinqiang，YUE Li，HU Gang，LI Kai
. Approximate Merging of a Pair of Cubic Uniform Bspline Curves with Shape Parameters
[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2010, 44(08): 1084-1088. |
| [9] |
MA Bo，ZHOU Yue. A New Multi-view Face Tracking Algorithm[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2010, 44(07): 902-0906. |
| [10] |
LIU Xiaohui,XU Lin,XIAO Chenjiang,CAO Jianming,XIAO Jiao. Identifying the Crack of Silicon Solar Cells Based on Matlab Image Processing [J]. J. Shanghai Jiaotong Univ.(Sci.) , 2010, 44(07): 926-0930. |
| [11] |
LU Derong,HE Chunxia,XIAO Shengming. Quantitative Analysis Method of SiC/PTFE Nanocomposite[J]. J. Shanghai Jiaotong Univ.(Sci.) , 2010, 44(04): 473-0477. |
|
|
|
|
