Planar Pythagorean-Hodograph B-Spline curves
نویسندگان
چکیده
منابع مشابه
On 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 ...
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The problem of approximating a given set of data points by splines composed of Pythagorean Hodograph (PH) curves is addressed. We discuss this problem in a framework that is not only restricted to PH spline curves, but can be applied to more general representations of shapes. In order to solve the highly nonlinear curve fitting problem, we formulate an evolution process within the family of PH ...
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ژورنال
عنوان ژورنال: Computer Aided Geometric Design
سال: 2017
ISSN: 0167-8396
DOI: 10.1016/j.cagd.2017.09.001