Optimal multi-degree reduction of Bézier curves with G2-continuity
In this paper we present a novel approach to consider the multi-degree reduction of Bezier curves with G^2-continuity in L"2-norm. The optimal approximation is obtained by minimizing the objective function based on the L"2-error between the two curves. ...
Block-balanced meshes in iterative uniform refinement
In this paper we study and delimit a property of known four triangle subdivisions that is useful in tri to quad mesh conversion methods. We provide both theoretical results and empirical evidence showing that iterative application of the four triangles ...
The bound on derivatives of rational Bézier curves
The estimation of bounds on derivatives of rational Bezier curves has important application in CAGD. This paper derives some new bounds according to the properties of derivation and recursion of Bernstein basis, and shows that the new bounds are better ...
Local hybrid approximation for scattered data fitting with bivariate splines
We suggest a local hybrid approximation scheme based on polynomials and radial basis functions, and use it to improve the scattered data fitting algorithm of (Davydov, O., Zeilfelder, F., 2004. Scattered data fitting by direct extension of local ...
Rational quadratic circles are parametrized by chord length
We show that the chord length parameter assignment is exact for circle segments in standard rational quadratic form.
