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We discuss the use of tensor product B-splines to generate grids, or meshes, to facilitate the plotting of high level mathematical functions for the National Institute of Standards and Technology (NIST) Digital Library of Mathematical Functions Project. The plot data is placed inside a web based format such as VRML (Virtual Reality Modeling Language) to create interactive visualizations that allow users to carefully examine complicated function features such as zeros, branch cuts, poles and other singularities. We discuss the grid generation technique and look at its effectiveness in creating accurate visualizations. §

From b-spline mesh generation to effective visualizations for the NIST digital library of mathematical functions