Title :
Subdivision for generating NURBS curves and quadrics
Author :
Han Li-wen ; Tao, Yu ; Hai-Yan, Xi
Author_Institution :
Coll. of Math. & Inf. Sci., Hebei Normal Univ., Shijiazhuang, China
Abstract :
This paper discusses the subdivision of NURBS curves and quadrics based on matrix representation of NURBS curves. Binary and ternary subdivision rules of quadratic NURBS curves are obtained, error and computation amount of subdivision curves are analyzed in detail. Moreover, by applying the subdivision method to the generatrix and ellipse, surfaces of revolution and quadratics are achieved with discrete subdivision models.
Keywords :
curve fitting; matrix algebra; splines (mathematics); NURBS curve generation; NURBS quadrics generation; binary subdivision rules; discrete subdivision models; matrix representation; nonuniform rational b-splines; ternary subdivision rules; Spline; Surface reconstruction; Surface topography; NURBS; matrix representation; quadratics; subdivision; surfaces of revolution;
Conference_Titel :
Computer Application and System Modeling (ICCASM), 2010 International Conference on
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4244-7235-2
Electronic_ISBN :
978-1-4244-7237-6
DOI :
10.1109/ICCASM.2010.5620789
