Fast Calculation of Multiple Line Integrals

@article{Brandt1999FastCO,
  title={Fast Calculation of Multiple Line Integrals},
  author={Achi Brandt and Jonathan Dym},
  journal={SIAM J. Sci. Comput.},
  year={1999},
  volume={20},
  pages={1417-1429}
}
  • A. BrandtJ. Dym
  • Published 1 February 1999
  • Computer Science
  • SIAM J. Sci. Comput.
A line integral is defined as the integral of two-dimensional data along a (one-dimensional, straight) line of given length and orientation. Line integrals are used in various forms of edge and line detectors in images and in the computation of the Radon transform. We present a recursive algorithm which enables approximation of discretized line integrals at all lengths, orientations, and locations to within a prescribed error bound in at most O(n, log n, log log n) operations, where $n$ is the… 
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