This paper compares two techniques for the approximation of the offsets to a given planar curve. The two methods are based on approximate conversion of the planar curve into circu...
By simultaneously considering evolution processes for parametric spline curves and implicitly defined curves, we formulate the framework of dual evolution. This allows us to combin...
The Bentley-Ottmann sweep-line method can be used to compute the arrangement of planar curves provided a number of geometric primitives operating on the curves are available. We d...
We present an approximate implicitization method for planar curves. The computed implicit representation is a piecewise rational approximation of the distance function to the given...
Periodic smoothing splines appear for example as generators of closed, planar curves, and in this paper they are constructed using a controlled two point boundary value problem in...
Hiroyuki Kano, Magnus Egerstedt, Hiroyuki Fujioka,...