Thursday, November 4

Shape-preserving, Multiscale/Multiresolution Spline Modeling: Methods and Environments

4:15 PM-6:15 PM
Room: Rio Grande Ballroom

In this minisymposium, new geometric modeling theories and advanced system environments for these theories will be discussed. New results on existence, uniqueness and convergence of bivariate splines for scattered data fitting using the minimal energy method and two least squares methods will be presented. A new class of shape-preserving, multiscale polynomial interpolating and approximating ``nonoscillatory'' splines especially suited for modeling irregular surfaces (such as terrain, biological objects and surfaces with irregular protuberances) will be introduced. Finally, an interactive, free-form modeling environment with extensive use of hierachical elements will be proposed.

Organizer: John E. Lavery
U.S. Army Research Office
4:15-4:40 Bivariate Splines for Scattered Data Fitting
Ming-Jun Lai, University of Georgia
4:45-5:10 Nonoscillatory Splines: Shape-preserving, Multiscale, Piecewise-polynomial Geometric Modeling
John E. Lavery, Organizer
5:15-5:40 Representation of Terrain Data by Nonoscillatory Splines
Ronald Meyers and Keith Deacon, U.S. Army Research Laboratory
5:45-6:10 Mesh and Surface Hierarchies
Jörg Peters, University of Florida

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Created LMH, 5/18/99; Last Updated MMD, 10/14/99