We show that all so-called C-curves are affine images of trochoids or sine curves and use this relation to investigate the occurrence of inflection points, cusps, and loops. The re...
We present a new approach toward the rational parametrization of canal surfaces. According to our previous work, every canal surface with rational (respectively polynomial)spine c...
Hee Cheol Cho, Hyeong In Choi, Song-Hwa Kwon, Doo ...
In this paper we present a local fitting algorithm for converting smooth planar curves to Bsplines. For a smooth planar curve a set of points together with their tangent vectors a...
In the present paper we investigate rational two-parameter families of spheres and their envelope surfaces in Euclidean R3. The four dimensional cyclographic model of the set of s...
Martin Peternell, Boris Odehnal, Maria Lucia Sampo...
We consider parametric curves that are represented by combination of control points and basis functions. We let a control point vary while the rest is held fixed. We show that the...