Tensor Product Grid Generation for Complex Surface Visualizations in a Digital Library of Mathematical Functions

Published

May 25, 2009

Author(s)

Bonita V. Saunders, Qiming Wang

Abstract

We have used tensor product B-spline grids to develop accurate plots that wnhance the understanding of high level mathematical functions described in the National Institute of Standards and Technology (NIST) Digital Library of Mathematical Functions. The graph data is placed in a web based format such as VRML (Virtual Reality Modeling Language) or X3D (Extensible 3D) to provide an environment where users can interactively manipulate complex function surfaces. The effectiveness of the grid generation mapping in producing visualizations that accurately capture key function features such as zeros, poles, and branch cuts is examined.

Proceedings Title

Proceedings of the 11th ISGG Conference on Numerical Grid Generation 2009, Montreal, Canada, May 25-28, 2009

Conference Dates

May 25-28, 2009

Conference Location

Montreal

Conference Title

11th ISGG Conference on Numerical Grid Generation 2009, Montreal, Canada, May 25-28, 2009

Pub Type

Conferences

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Keywords

B-splines, mesh generation, structured grid generation, 3D visualization, digital library, special functions

Citation

Saunders, B. and Wang, Q. (2009), Tensor Product Grid Generation for Complex Surface Visualizations in a Digital Library of Mathematical Functions, Proceedings of the 11th ISGG Conference on Numerical Grid Generation 2009, Montreal, Canada, May 25-28, 2009, Montreal, -1, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=902656 (Accessed October 24, 2025)