Large Least Squares Problems Involving Kronecker Products
SIAM Journal on Matrix Analysis and Applications
Comments on Large Least Squares Problems InvolvingKronecker Products
SIAM Journal on Matrix Analysis and Applications
Optimized geometry compression for real-time rendering
VIS '97 Proceedings of the 8th conference on Visualization '97
Edge-based approach to mesh simplification
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
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The efficient storage of simulation data obtained from the solution of time-dependent scientific models represents a significant issue in large-scale computing. One approach to storing this data is to use a mesh independent, or functional, representation of the simulation data. The implementation of such an approach requires an efficient means of computing a functional representation. In this paper, we present a new algorithm for computing this representation that guarantees that a user-specified pointwise error bound is satisfied by the functional approximation. This approach is based on a weighted least squares method to approximate the minimax solution for multi-dimensional simulation data. We present experimental results that demonstrate that this method can be used to efficiently compute the functional representation of large-scale, multi-dimensional data.