The Geometry of the Intersection of Voxel Spaces

Jean-Pierre Reveillès · Electronic Notes in Theoretical Computer Science · 2001

Views rendered by the numerous current digital medical facilities and 3D technologies (Positron Emission Tomography, Magnetic Resonance Imaging, Synchrotron Radiation, Radars, Stereography, etc.) of a 3D object may often be assimilated to tilings of R 3 space by identical cubes (or voxels). Relating two such views of a single object obtained by two distinct processes, in order to fusion their information on a new image, requires a processing of these two tilings specially for objects whose size is close to the resolution of the employed technology.

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