Circular arc approximation by quartic H-Bézier curve
نویسندگان
چکیده
منابع مشابه
Cubic Bézier approximation of a digitized curve
In this paper we present an efficient technique for piecewise cubic Bézier approximation of digitized curve. An adaptive breakpoint detection method divides a digital curve into a number of segments and each segment is approximated by a cubic Bézier curve so that the approximation error is minimized. Initial approximated Bézier control points for each of the segments are obtained by interpolati...
متن کاملCircle Approximation by Quartic G2 Spline Using Alternation of Error Function
In this paper we present a method of circular arc approximation by quartic Bézier curve. Our quartic approximation method has a smaller error than previous quartic approximation methods due to the alternation of the error function of our quartic approximation. Our method yields a closed form of error so that subdivision algorithm is available, and curvaturecontinuous quartic spline under the su...
متن کاملPH-spline approximation for Bézier curve and rendering offset.
In this paper, a G(1), C(1), C(2) PH-spline is employed as an approximation for a given Bézier curve within error bound and further renders offset which can be regarded as an approximate offset to the Bézier curve. The errors between PH-spline and the Bézier curve, the offset to PH-spline and the offset to the given Bézier curve are also estimated. A new algorithm for constructing offset to the...
متن کاملSegmented Optimal Multi-Degree Reduction Approximation of Bézier Curve
This paper presents a segmented optimal multi-degree reduction approximation method for Bézier curve based on the combination of optimal function approximation and segmentation algorithm. In the proposed method, each Bernstein basis function is optimally approximated by the linear combination of lower power S bases. The piecewise curve of Bernstein basis function is replaced by the obtained opt...
متن کاملQuartic approximation of circular arcs using equioscillating error function
A high accuracy quartic approximation for circular arc is given in this article. The approximation is constructed so that the error function is of degree 8 with the least deviation from the x-axis; the error function equioscillates 9 times; the approximation order is 8. The numerical examples demonstrate the efficiency and simplicity of the approximation method as well as satisfying the propert...
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: Pakistan Journal of Statistics and Operation Research
سال: 2017
ISSN: 2220-5810,1816-2711
DOI: 10.18187/pjsor.v13i2.1689