G k,l -constrained multi-degree reduction of Bézier curves
نویسندگان
چکیده
منابع مشابه
Degree Reduction of Disk Wang-Bézier Type Generalized Ball Curves
A disk Wang-Bézier type generalized Ball curve is a Wang-Bézier type generalized Ball curve whose control points are disks in a plane. It can be viewed as a parametric curve with error tolerances. In this paper, we discuss the problem of degree reduction of disk Wang-Bézier type generalized Ball curve, that is, bounding disk Wang-Bézier type generalized Ball curves with lower degree disk Wa...
متن کاملDegree Reduction of Disk Wang-Bézier Type Generalized Ball Curves
A disk Wang-Bézier type generalized Ball curve is a Wang-Bézier type generalized Ball curve whose control points are disks in a plane. It can be viewed as a parametric curve with error tolerances. In this paper, we discuss the problem of degree reduction of disk Wang-Bézier type generalized Ball curve, that is, bounding disk Wang-Bézier type generalized Ball curves with lower degree disk Wa...
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 کاملConstrained multi-degree reduction of Bézier surfaces using Jacobi polynomials
Article history: Received 9 March 2007 Received in revised form 16 June 2008 Accepted 20 October 2008 Available online 1 November 2008
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 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: Numerical Algorithms
سال: 2015
ISSN: 1017-1398,1572-9265
DOI: 10.1007/s11075-015-9988-3