Triquadratic Reconstruction for Interactive Modelling of Potential Fields

Authors:
Loic Barthe;Benjamin Mora;Neil Dodgson;Malcolm Sabin
Affiliations:
-;-;-;-
Venue:
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Year:
2002

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Abstract

We present a data structure for three-dimensional fields C1 continuous in the modelling space.Regular gridsstoring the field values discretely are combined with atriquadratic approximation filter to define volume objects.This association of a grid and an approximation/interpolation filter allows the field to be defined by a C 1 continuous real function and the surface to be directly visualised from its own equation.We show how accurate and high quality interactive visualisation is obtained during the modelling process, and we explain why the visualisation is faithful to the object definition.We also describe, as an example of application of our datastructure, how advanced Boolean operators realised withsoft or "functionally controlled "transitions are performedunder the influence of an interactive modelling tool.