Space Mapping of Spline Spaces over Hierarchical T-meshes

In this paper, we construct a bijective mapping between biquadratic spline space over the hierarchical T-mesh and piecewise constant corresponding crossing-vertex-relationship graph (CVR graph). We propose novel structure, by which offer an effective easy operative method for constructing basis functions of space. The is isomorphism. hold properties such as linear independence, completeness property partition unity, are same CVR graph. To demonstrate that new efficient, apply to fit some open surfaces.