Questions on creating visualizations from functions or data using high-level constructors such as Plot, ListPlot, Histogram, etc.

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Is it possible to speed up the user-defined function CAGDBezierSurface?

For given control net of points $P_{i,j}, \quad i=0,2, \cdots m, \quad j=0,2,\cdots, n$,the B├ęzier surface is defined by the following equation: ...