Shape-preserving interpolation of spatial data by Pythagorean-hodograph quintic spline curves
نویسندگان
چکیده
منابع مشابه
Shape-preserving interpolation of spatial data by Pythagorean-hodograph quintic spline curves
The interpolation of discrete spatial data — a sequence of points and unit tangents — by G1 Pythagorean– hodograph (PH) quintic spline curves, under shape constraints, is addressed. To achieve this, a local Hermite scheme incorporating a tension parameter for each spline segment is employed, the imposed shape constraints being concerned with preservation of convexity at the knots and the sign o...
متن کاملInterpolation by G quintic Pythagorean-hodograph curves
In this paper, the G interpolation by Pythagorean-hodograph (PH) quintic curves in R, d ≥ 2, is considered. The obtained results turn out as a useful tool in practical applications. Independently of the dimension d, they supply a G quintic PH spline that locally interpolates two points, two tangent directions and two curvature vectors at these points. The interpolation problem considered is red...
متن کاملInterpolation by G quintic Pythagorean-hodograph curves in R
In this paper a G2 continuous geometric interpolation of Hermite data by Pythagoreanhodograph (PH) quintic curves in Rd is considered. For two sets of appropriate Hermite data (tangent directions and curvature vectors) at two distinct points a PH quintic which interpolates given data geometrically is sought. The problem reduces to solving a system of nonlinear algebraic equations involving only...
متن کاملOn Interpolation by Planar Cubic G Pythagorean-hodograph Spline Curves
In this paper, the geometric interpolation of planar data points and boundary tangent directions by a cubic G2 Pythagorean-hodograph (PH) spline curve is studied. It is shown that such an interpolant exists under some natural assumptions on the data. The construction of the spline is based upon the solution of a tridiagonal system of nonlinear equations. The asymptotic approximation order 4 is ...
متن کاملOn interpolation by Planar cubic G2 pythagorean-hodograph spline curves
In this paper, the geometric interpolation of planar data points and boundary tangent directions by a cubic G2 Pythagorean-hodograph (PH) spline curve is studied. It is shown that such an interpolant exists under some natural assumptions on the data. The construction of the spline is based upon the solution of a tridiagonal system of nonlinear equations. The asymptotic approximation order 4 is ...
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: IMA Journal of Numerical Analysis
سال: 2014
ISSN: 0272-4979,1464-3642
DOI: 10.1093/imanum/drt072