Title :
α Extension of a class of trigonometric spline curve
Author_Institution :
Dept. of Fundamental Courses, Beijing Inst. of Fashion Technol., Beijing, China
Abstract :
By introducing the concept of weights in NURBS curve into a blending technique, the paper extends the representation of the rigonometric spline curve. Shape-control capability of the extension curve is shown to be much better than that of the trigonometric spline curve. The representation and properties of the extension curve are studied. The curve is easy and intuitive to reshape by varying the tension parameters; So it is useful in some applications of CAD/CAM.
Keywords :
CAD/CAM; computational geometry; splines (mathematics); α extension; CAD; CAM; NURBS curve; blending technique; nonuniform rational basis spline; shape-control capability; trigonometric spline curve; weight concept; Aerospace electronics; Approximation methods; Design automation; Shape; Spline; Surface reconstruction; Surface topography; Key words-trigonometric spline curve; curve design; shape parameter;
Conference_Titel :
Electronic and Mechanical Engineering and Information Technology (EMEIT), 2011 International Conference on
Conference_Location :
Harbin, Heilongjiang
Print_ISBN :
978-1-61284-087-1
DOI :
10.1109/EMEIT.2011.6024011
