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Integral Geometry

← Back to Domain-Specific Abstractions by Domain

3 domain-specific abstractions whose origin domain is Integral Geometry.

  • Abel Transform — The symmetry-reduced line-integral transform that maps a radial field to its parallel projection and, under stated conditions, reconstructs the local radial field from that projection.
  • Crofton formula — An integral-geometric identity recovering a curve’s length from the invariant-measure average number of intersections with lines.
  • Radon transform — An integral transform mapping a function to its integrals over hyperplanes, with inversion reconstructing the original under suitable conditions.