منابع مشابه
Approximate Bézier curves by cubic LN curves
In order to derive the offset curves by using cubic Bézier curves with a linear field of normal vectors (the so-called LN Bézier curves) more efficiently, three methods for approximating degree n Bézier curves by cubic LN Bézier curves are considered, which includes two traditional methods and one new method based on Hausdorff distance. The approximation based on shifting control points is equi...
متن کاملDegree reduction of composite Bézier curves
This paper deals with the problem of multi-degree reduction of a composite Bézier curve with the parametric continuity constraints at the endpoints of the segments. We present a novel method which is based on the idea of using constrained dual Bernstein polynomials to compute the control points of the reduced composite curve. In contrast to other methods, ours minimizes the L2-error for the who...
متن کاملOptimal multi-degree reduction of Bézier curves with G2-continuity
In this paper we present a novel approach to consider the multi-degree reduction of Bézier curves with G2-continuity in L2norm. The optimal approximation is obtained by minimizing the objective function based on the L2-error between the two curves. In contrast to traditional methods, which typically consider the components of the curve separately, we use geometric information on the curve to ge...
متن کاملIterative process for G2-multi degree reduction of Bézier curves
In this paper, the issue of multi-degree reduction of Bézier curves with C and G-continuity at the end points of the curve is considered. An iterative method, which is the first of this type, is derived. It is shown that this algorithm converges and can be applied iteratively to get the required accuracy. Some examples and figures are given to demonstrate the efficiency of this method. 2011 Els...
متن کاملFast, precise flattening of cubic Bézier path and offset curves
We present two related algorithms for flattening (generating polyline approximations for) curves associated with planar cubic Bézier segments. One flattens the path curve, and the other flattens the left and right offset curves. The algorithm for flattening path curves yields an average of 67% of the vertices generated by recursive subdivision, while maintaining flatness to within 4% of the spe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1999
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(98)00208-8