# On the determination of functions from their integral values along certain manifolds

@article{Radon1986OnTD, title={On the determination of functions from their integral values along certain manifolds}, author={Johann Radon}, journal={IEEE Transactions on Medical Imaging}, year={1986}, volume={5}, pages={170-176} }

When one integrates a function of two variables x,y - a point function f(P) in the plane - subject to suitable regularity conditions along an arbitrary straight line g then one obtains in the integral values F(g), a line function. In Part A of the present paper the problem which is solved is the inversion of this linear functional transformation, that is the following questions are answered: can every line function satisfying suitable regularity conditions be regarded as constructed in this way…

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## References

### TRANSLATOR'S NOTES The original German text

- Nachr., p
- 1910