Fake uniformity in a shape inversion formula. (English) Zbl 1423.62061

Rau, Christian

Braz. J. Probab. Stat. 33, No. 3, 549-557 (2019).

Summary: We revisit a shape inversion formula derived by V. M. Panaretos [Ann. Stat. 37, No. 6A, 3272–3306 (2009; Zbl 1193.60017)] in the context of a particle density estimation problem with unknown rotation of the particle. A distribution is presented which imitates, or “fakes”, the uniformity or Haar distribution that is part of that formula.

MSC:

62H35	Image analysis in multivariate analysis
44A15	Special integral transforms (Legendre, Hilbert, etc.)

Keywords:

conjugation-invariance; fake uniformity; Gram matrix; inverse problems; random tomography; rotations

Citations:

Zbl 1193.60017

Software:

Rotations

References:

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