Moment-based angular difference estimation between two tomographic projections in 2D and 3D

Minh Son Phan (1) , Etienne Baudrier (1) , Loïc Mazo (1) , Mohamed Tajine (2)

1 ICube - Laboratoire des sciences de l'ingénieur, de l'informatique et de l'imagerie
2 CNRS - Centre National de la Recherche Scientifique

This paper introduces a new method for estimating the angular difference between two tomographic projections belonging to a set of projections taken at unknown directions in 2D and 3D. Our method relies on the projection neighbor selection in projection moment space, the calculation of the angular differences between these neighboring projections using moment properties and a projection moment neighborhood graph. The accuracy and the robustness of our method are shown on a test database including fifty 2D and 3D gray-level images at different resolutions and with different levels of noise.

Mots clés: angular difference; moment; unknown direction; Euclidean distance; computed tomography; tomographic reconstruction

Domaines: Traitement des images [eess.IV]

Minh Son Phan, Etienne Baudrier, Loïc Mazo, Mohamed Tajine. Moment-based angular difference estimation between two tomographic projections in 2D and 3D. Journal of Mathematical Imaging and Vision, 2017, 57 (2), pp.164-182. ⟨10.1007/s10851-016-0673-5⟩. ⟨hal-01337071⟩