Piecewise algebraic surface computation and smoothing from a discrete model
This paper describes a constrained smoothing method for implicit surfaces defined on a voxelization. This method is suitable for computing a closed smooth surface that approximates an initial set of face connected voxels. The implicit surface is defined ...
On geometric Lagrange interpolation by quadratic parametric patches
In the paper, the geometric Lagrange interpolation by quadratic parametric patches is considered. The freedom of parameterization is used to raise the number of interpolated points from the usual 6 up to 10, i.e., the number of points commonly ...
Bézier surfaces with linear isoparametric lines
We provide control point based necessary and sufficient conditions for (n,m) Bezier surfaces to have linear isoparametric lines.
Equivolumetric offsets for 2D machining with constant material removal rate
We introduce two special types of variable radius planar offsets: equivolumetric offsets. Both types of equivolumetric offsets provide us the machining method with the constant material removal rate. The first type of equivolumetric offsets can be used ...
Topological criterion for selection of quintic Pythagorean-hodograph Hermite interpolants
A topological approach to identifying the ''good'' interpolant among the four distinct solutions to the first-order Hermite interpolation problem for planar quintic Pythagorean-hodograph curves is presented. An existence theorem is proved, together with ...
