On 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 confirmed.

• Type: Journal
• Year: 2010
• Where: MOC
• Authors: Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito Vitrih, Emil Zagar
• Keywords: Boundary Tangent Directions, Cubic G2 Pythagorean-hodograph, MOC 2010, Planar Data Points, Security Privacy