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A class of quasi-Hermite base function is established in space Gamma = {1, t, sin t, cos t, cos 2t}. The corresponding quasi-Hermite curves with a shape parameter alpha are defined by the introduced base function. The curves can easily be adjusted by using the shape parameter alpha. With the parameter chosen properly, the defined curves can precisely be used to represent straight line segment, circular...
In this paper we propose a new type of splines -biquadratic submesh splines over hierarchical T-meshes. The biquadratic submesh splines are in rational form consisting of some biquadratic B-splines defined over tensor-product submeshes of a hierarchical T-mesh, where every submesh is around a cell in the crossing-vertex relationship graph of the T-mesh. We provide an effective algorithm to locate...
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