Proceedings: GI 1996

Visualizing Geometric Uncertainty of Surface Interpolants

Suresh Lodha, Robert Sheehan, Alex Pang, Craig Wittenbrink

Proceedings of Graphics Interface '96: Toronto, Ontario, Canada, 22 - 24 May 1996, 238-245

DOI 10.20380/GI1996.28

  • BibTeX

     title = {Visualizing Geometric Uncertainty of Surface Interpolants},
     author = {Suresh Lodha and Robert Sheehan and Alex Pang and Craig Wittenbrink},
     booktitle = {Proceedings of the Graphics Interface 1996 Conference, May 22-24, 1996, Toronto, Ontario, Canada},
     year = {1996},
     month = {May},
     isbn = {0-9695338-5-3},
     publisher = {Canadian Human-Computer Communications Society},
     url = {},
     pages = {238--245}


Evaluating and comparing the quality of surface interpolants is an important problem in computer graphics, computer aided geometric design and scientific visualization. We introduce geometric uncertainty as a measure of interpolation error, level of confidence or quality of an interpolant. Geometric uncertainty can be estimated as a scalar or a vector-valued function that depends upon geometric characteristics of interpolants associated with the underlying data. These characteristics include position, normals, isophotes, principal curvatures and directions, mean and Gaussian curvatures. We present several new techniques for visualizing geometric uncertainty of surface interpolants, that combine the strengths of traditional techniques such as pseudo-coloring, differencing, overlay, and transparency with new glyph and texture-based techniques.