Quartic approximation of circular arcs using equioscillating error function
نویسندگان
چکیده
منابع مشابه
Quartic 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 کاملApproximation of Circular Arcs Using Quartic Bezier Curves with Barycentric Coordinates Satisfying G Data
This paper proposes four methods to approximate circular arcs using quartic Bezier curves. Barycentric coordinates of two/three combination of control points are used to obtain an optimal approximation. Interior control points of quartic Bezier curves are found by satisfying G data from given circular arcs. The maximum errors between circular arcs and approximated curves are calculated using Ha...
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 کاملApproximation of circular arcs by parametric polynomial curves
In this paper the approximation of circular arcs by parametric polynomial curves is studied. If the angular length of the circular arc is h, a parametric polynomial curve of arbitrary degree n ∈ N, which interpolates given arc at a particular point, can be constructed with radial distance bounded by h2n. This is a generalization of the result obtained by Lyche and Mørken for odd n.
متن کاملFitting digital curve using circular arcs
AIBtract--A smoothing procedure is proposed, where the Gaussian filter is used with an adaptive mechanism to suppress the noise effect and quantization error of a digital curve. Those points of the smoothed curve where curvature changes abruptly are detected as breakpoints. Circular arcs are suitably designed between breakpoints to fit the input curve. Experimental results indicate that our cur...
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: International Journal of Advanced Computer Science and Applications
سال: 2016
ISSN: 2156-5570,2158-107X
DOI: 10.14569/ijacsa.2016.070780