Computer Aided Geometric Design

Ahn, Lee, Park and Yoo proved that the best constrained degree reduction of a polynomial f in L"2-norm equals the best weighted Euclidean approximation of the Bernstein-Bezier coefficients of f in a paper, published in the journal, Computer Aided ...

We investigate C^1-smooth bivariate curvature-based cubic L"1 interpolating splines in spherical coordinates. The coefficients of these splines are calculated by minimizing an integral involving the L"1 norm of univariate curvature in four directions at ...

By exploiting the freedom in the choice of parametrization of a parametric surface, we show that there exist quadratic parametric surfaces that approximate a given parametric surface with the same approximation order as cubics, namely four, in the ...

We propose a flexible and efficient wavelet construction for non-uniform B-spline curves and surfaces. The method allows to remove knots in arbitrary order minimizing the displacement of control points when a knot is re-inserted. Geometric detail ...

Recently, we found that the CB-splines that use basis {sint,cost,t,1} and the HB-splines that use basis {sinht,cosht,t,1} could be unified into a complete curve family, named FB-splines (Zhang and Krause, 2005). FB-splines are a scheme of what we call ...

Ahn, Lee, Park and Yoo proved that the best constrained degree reduction of a polynomial f in L₂-norm equals the best weighted Euclidean approximation of the Bernstein-Bézier coefficients of f in a paper, published in the journal, Computer Aided ...

We investigate C¹-smooth bivariate curvature-based cubic L₁ interpolating splines in spherical coordinates. The coefficients of these splines are calculated by minimizing an integral involving the L₁ norm of univariate curvature in four directions at ...