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Rational Bi-cubic G2 Splines for Design with Basic Shapes
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
The paper develops a rational bi-cubic G<sup>2</sup> (curvature continuous) analogue of the non-uniform polynomial C<sup>2</sup> cubic B-spline paradigm. These rational splines can exactly reproduce ...
CubeCover - Parameterization of 3D Volumes
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Despite the success of quad-based 2D surface parameterization methods, effective parameterization algorithms for 3D volumes with cubes, i.e. hexahedral elements, are still missing. CUBECOVER is a first approach for generating ...
Surface Patches from Unorganized Space Curves
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Recent 3D sketch tools produce networks of three-space curves that suggest the contours of shapes. The shapes may be non-manifold, closed three-dimensional, open two-dimensional, or mixed. We describe a system that ...