DocumentCode :
2452489
Title :
Geometric constraint solving for parametric conics
Author :
Chen, Bi ; Tang, Min ; Dong, Jinxiang
Author_Institution :
Al Inst., Zhejiang Univ., China
fYear :
2002
fDate :
2002
Firstpage :
185
Lastpage :
188
Abstract :
Geometric constraint solving is a rapidly developing field, with applications in areas such as kinematics, molecular modeling, surveying, and geometric theorem proving. This paper has incorporated conic arcs into a geometric constraint solver and describes how to construct conic blending arcs from constraints using a rational parametric representation - rational quadratic Bezier which combines the separate cases of blending edges. There are some possible constraints: traverse a fixed point, or tangency to or distance from a line. Here a uniform rational Bezier representation has been developed first, then the paper presents two methods to solve tangency to or distance from a line.
Keywords :
CAD; computational geometry; constraint theory; CAD; conic arcs; conic blending arcs; geometric constraint solving; parametric conics; rational parametric representation; rational quadratic Bezier; tangency; uniform rational Bezier representation; Artificial intelligence; Bismuth; CADCAM; Chemical elements; Chemical engineering; Computer aided manufacturing; Laboratories; Mechanical engineering; Solid modeling; User interfaces;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Computer Supported Cooperative Work in Design, 2002. The 7th International Conference on
Print_ISBN :
85-285-0050-0
Type :
conf
DOI :
10.1109/CSCWD.2002.1047679
Filename :
1047679
Link To Document :
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