Toward High-Quality Gradient Estimation on Regular Lattices

@article{Hossain2011TowardHG,
  title={Toward High-Quality Gradient Estimation on Regular Lattices},
  author={Zahid Hossain and Usman R. Alim and Torsten M{\"o}ller},
  journal={IEEE Transactions on Visualization and Computer Graphics},
  year={2011},
  volume={17},
  pages={426-439}
}
In this paper, we present two methods for accurate gradient estimation from scalar field data sampled on regular lattices. The first method is based on the multidimensional Taylor series expansion of the convolution sum and allows us to specify design criteria such as compactness and approximation power. The second method is based on a Hilbert space framework and provides a minimum error solution in the form of an orthogonal projection operating between two approximation spaces. Both methods… CONTINUE READING
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