Abstract
Spline spaces over rectangular T-meshes have been discussed in many papers. In this paper, we consider spline spaces over non-rectangular T-meshes. The dimension formulae of spline spaces over special simply connected T-meshes have been obtained. For T-meshes with holes, we discover a new type of dimension instability. We construct a relationship between the dimension of the spline space over a T-mesh \(\mathcal {T}\) with holes and the dimension of the spline space over a simply connected T-mesh associated with \(\mathcal {T}\).
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Communicated by: T. Lyche
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Zeng, C., Wu, M., Deng, F. et al. Dimensions of spline spaces over non-rectangular T-meshes. Adv Comput Math 42, 1259–1286 (2016). https://doi.org/10.1007/s10444-016-9461-4
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DOI: https://doi.org/10.1007/s10444-016-9461-4