Holliday, David J.Nielson, Gregory M.W. de Leeuw and R. van Liere2014-01-302014-01-30200032118351561727-5296https://doi.org/10.2312/VisSym/VisSym00/083-092We present a new technique for modeling rectilinear volume data. The algorithm produces a trivariate model, F(x; y; z), which is piecewise defined over tetrahedra that fits the volume data to within a user specified tolerance. The technique is adaptive leading to an efficient model that is more complex where the data demands it. The novelty of the present technique is that a valid tetrahedrization is not required. Tetrahedral cells are subdivided as required by the error condition only. This type of cellular decomposition leads to a continuous model by the use of a tetrahedral Coons volume which has the ability to interpolate to arbitrary boundary data.