We show that any surface of infinite type admits an ideal triangulation. Furthermore, we a set disjoint arcs can be completed into triangulation if and only if, as set, they intersect every simple closed curve finite number times.

For a Hermite subdivision scheme H of degree d, we define a spectral condition. We have already proved that if it is fulfilled, then there exists an associated affine subdivision scheme S. Moreover, if T is the subdivision matrix of the first difference process ∆S, if the spectral radius ρ(T ) is less than 1, then S is C0 and H is Cd. Generalizing the de Rham corner cutting, from every Hermite ...

Abstract We discretise a tangential tensor field equation using surface-finite element approach with penalisation term to ensure almost tangentiality. It is natural measure the quality of such discretisation intrinsically, i.e., examine convergence behaviour in contrast normal behaviour. show optimal-order respect quantities particular for an isogeometric that based only on geometric informatio...