Tensor product b-spline mesh generation for accurate surface visualizations in the NIST digital library of mathematical functions

  • Authors:

  • Bonita Saunders;Qiming Wang

  • Affiliations:

  • National Institute of Standards and Technology, Gaithersburg, MD;National Institute of Standards and Technology, Gaithersburg, MD

  • Venue:
  • MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
  • Year:
  • 2008

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Abstract

We discuss the use of tensor product B-spline meshes to design accurate three dimensional graphs of high level mathematical functions for the National Institute of Standards and Technology (NIST) Digital Library of Mathematical Functions. The graph data is placed inside a web based format such as VRML (Virtual Reality Modeling Language) or X3D (Extensible 3D) to create an interactive visualization environment where users can carefully examine complicated function attributes such as zeros, branch cuts, poles and other singularities. We describe the grid generation technique and its effectiveness for creating clear and informative visualizations.