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Determining ellipsoids by intersections with flats

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Abstract

This paper considers the problem of reconstructing a d-dimensional ellipse from its intersection with a set of n parallel j-flats. The minimum value of n is determined for this problem and some related ones.

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References

  1. Bonnesen, T. and Fenchel, W., Theorie der konvexen Körper, Berlin, 1934.

  2. McKenney, J. E., ‘Finding the volume of an ellipsoid using cross-sectional slices’ (Mathematics Magazine, to appear).

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Authors and Affiliations

  1. Department of Mathematics, University of California, Davis, 95616, Davis, CA, U.S.A.

    G. T. Sallee

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  1. G. T. Sallee
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Sallee, G.T. Determining ellipsoids by intersections with flats. Geom Dedicata 34, 139–144 (1990). https://doi.org/10.1007/BF00147322

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  • DOI: https://doi.org/10.1007/BF00147322

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