Filtering by repeated integration

@inproceedings{Heckbert1986FilteringBR,
  title={Filtering by repeated integration},
  author={Paul S. Heckbert},
  booktitle={SIGGRAPH},
  year={1986}
}
Many applications of digital filtering require a space variant filter - one whose shape or size varies with position. The usual algorithm for such filters, direct convolution, is very costly for wide kernels. Image prefiltering provides an efficient alternative. We explore one prefiltering technique, repeated integration, which is a generalization of Crow's summed area table.We find that convolution of a signal with any piecewise polynomial kernel of degree n--1 can be computed by integrating… CONTINUE READING
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