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The Trace transform is a generalisation of the Radon transform that allows us to construct image features that are invariant to a chosen group of image transformations. In this paper we propose functionals which can be computed from the image function, and which can be used to describe objects in a way that is invariant to the group of affine transforms. We demonstrate the usefulness of the constructed image descriptors in retrieving images from an image database and compare it with the momentsdoi:10.5244/c.15.41 dblp:conf/bmvc/KadyrovP01 fatcat:jvn2gkvzjbeoxbzfolqxvgxw3y