Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1185.41008
Lü, Yonggang; Wang, Guozhao; Yang, Xunnian
Uniform trigonometric polynomial B-spline curves.
(English)
[J] Sci. China, Ser. F 45, No. 5, 335-343 (2002). ISSN 1009-2757

Summary: This paper presents a new kind of uniform spline curve, named trigonometric polynomial B-splines, over space $\Omega = \text{span}\{\text{sin }t, \text{cost},t^{k-3},t^{k-4}, \dots,t, 1\}$ of which $k$ is an arbitrary integer larger than or equal to 3. We show that trigonometric polynomial B-spline curves have many similar properties to traditional B-splines. Based on the explicit representation of the curve we have also presented the subdivision formulae for this new kind of curve. Since the new spline can include both polynomial curves and trigonometric curves as special cases without rational form, it can be used as an efficient new model for geometric design in the fields of CAD/CAM.
MSC 2000:
*41A15 Spline approximation
42A10 Trigonometric approximation

Keywords: C-curves; uniform B-splines; C-B-splines; trigonometric polynomial B-splines

Highlights
Master Server