This paper derives strong relations that boundary curves of a smooth complex of patches have to obey when the patches are computed by local averaging. These relations restrict the...
Spacetime Discontinuous Galerkin (DG) methods are used to solve hyperbolic PDEs describing wavelike physical phenomena. When the PDEs are nonlinear, the speed of propagation of th...
Converting a quadrilateral input mesh into a C1 surface with one bi-3 tensorproduct spline patch per facet is a classical challenge. We give explicit local averaging formulas for ...
This paper presents a new and efficient algorithm for decomposition of 3D arbitrary triangle mesh into surface patches. Our method is based on the curvature tensor field analysis ...