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We present a review of the problem of asteroid shape and spin reconstructionfrom generalised projections; i.e., from lightcurves, disk-resolved images,occultation silhouettes, radar range-Doppler data, and interferometry. The aimof this text is to summarize all important mathematical facts and proofsrelated to this inverse problem, to describe their implications to observersand modellers, and to provide the reader with all relevant references.

Asteroid models from generalised projections: Essential facts for asteroid modellers and geometric inverse problem solvers