Determination of Q-convex bodies by X-rays

Sara Brunetti (1) , Alain Daurat (2)

1 DSMI - Department of Mathematics and Computer Science / Dipartimento di Scienze Matematiche e Informatiche "Roberto Magari"
2 LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection

The class of Q-convex bodies is defined, and the uniqueness result proved by Gardner and McMullen in 1980 for planar convex bodies is extended to this new class.

Mots clés: Convex Bodies; Geometric Tomography; Uniqueness

Domaines: Géométrie métrique [math.MG]

Sara Brunetti, Alain Daurat. Determination of Q-convex bodies by X-rays. Proceedings of the Workshop on Discrete Tomography and its Applications, 2005, New-York, United States. pp.67-81, ⟨10.1016/j.endm.2005.05.056⟩. ⟨hal-00023089⟩